{"title":"Mathematics","description":null,"products":[{"product_id":"the-hypoelliptic-laplacian-and-ray-singer-metrics","title":"The Hypoelliptic Laplacian and Ray-Singer Metrics","description":"\u003cp\u003eThis book presents the analytic foundations to the theory of the hypoelliptic Laplacian. The hypoelliptic Laplacian, a second-order operator acting on the cotangent bundle of a compact manifold, is supposed to interpolate between the classical Laplacian and the geodesic flow. Jean-Michel Bismut and Gilles Lebeau establish the basic functional analytic properties of this operator, which is also studied from the perspective of local index theory and analytic torsion.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e  The book shows that the hypoelliptic Laplacian provides a geometric version of the Fokker-Planck equations. The authors give the proper functional analytic setting in order to study this operator and develop a pseudodifferential calculus, which provides estimates on the hypoelliptic Laplacian's resolvent. When the deformation parameter tends to zero, the hypoelliptic Laplacian converges to the standard Hodge Laplacian of the base by a collapsing argument in which the fibers of the cotangent bundle collapse to a point. For the local index theory, small time asymptotics for the supertrace of the associated heat kernel are obtained.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e  The Ray-Singer analytic torsion of the hypoelliptic Laplacian as well as the associated Ray-Singer metrics on the determinant of the cohomology are studied in an equivariant setting, resulting in a key comparison formula between the elliptic and hypoelliptic analytic torsions.\u003c\/p\u003e","brand":"None","offers":[{"title":"Paperback","offer_id":46153119039665,"sku":"9780691137322","price":115.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_22a98708-54d6-46d3-b642-bf9179bc19b8.jpg?v=1763635938"},{"product_id":"simulation-and-the-monte-carlo-method","title":"Simulation and the Monte Carlo Method","description":"\u003cp\u003e\u003cb\u003eThis accessible new edition explores the major topics in Monte Carlo simulation that have arisen over the past 30 years and presents a sound foundation for problem solving\u003c\/b\u003e\u003cb\u003e \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003ci\u003eSimulation and the Monte Carlo Method, Third Edition \u003c\/i\u003ereflects the latest developments in the field and presents a fully updated and comprehensive account of the state-of-the-art theory, methods and applications that have emerged in Monte Carlo simulation since the publication of the classic First Edition over more than a quarter of a century ago. While maintaining its accessible and intuitive approach, this revised edition features a wealth of up-to-date information that facilitates a deeper understanding of problem solving across a wide array of subject areas, such as engineering, statistics, computer science, mathematics, and the physical and life sciences. The book begins with a modernized introduction that addresses the basic concepts of probability, Markov processes, and convex optimization. Subsequent chapters discuss the dramatic changes that have occurred in the field of the Monte Carlo method, with coverage of many modern topics including: Markov Chain Monte Carlo, variance reduction techniques such as importance (re-)sampling, and the transform likelihood ratio method, the score function method for sensitivity analysis, the stochastic approximation method and the stochastic counter-part method for Monte Carlo optimization, the cross-entropy method for rare events estimation and combinatorial optimization, and application of Monte Carlo techniques for counting problems. An extensive range of exercises is provided at the end of each chapter, as well as a generous sampling of applied examples.\u003c\/p\u003e \u003cp\u003eThe \u003ci\u003eThird Edition \u003c\/i\u003efeatures a new chapter on the highly versatile splitting method, with applications to rare-event estimation, counting, sampling, and optimization. A second new chapter introduces the stochastic enumeration method, which is a new fast sequential Monte Carlo method for tree search. In addition, the \u003ci\u003eThird Edition \u003c\/i\u003efeatures new material on\u003ci\u003e:\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e• Random number generation, including multiple-recursive generators and the Mersenne Twister\u003c\/p\u003e \u003cp\u003e• Simulation of Gaussian processes, Brownian motion, and diffusion processes\u003c\/p\u003e \u003cp\u003e• Multilevel Monte Carlo method\u003c\/p\u003e \u003cp\u003e• New enhancements of the cross-entropy (CE) method, including the “improved” CE method, which uses sampling from the zero-variance distribution to find the optimal importance sampling parameters\u003c\/p\u003e \u003cp\u003e• Over 100 algorithms in modern pseudo code with flow control\u003c\/p\u003e \u003cp\u003e• Over 25 new exercises\u003c\/p\u003e \u003cp\u003e\u003ci\u003eSimulation and the Monte Carlo Method, Third Edition \u003c\/i\u003eis an excellent text for upper-undergraduate and beginning graduate courses in stochastic simulation and Monte Carlo techniques. The book also serves as a valuable reference for professionals who would like to achieve a more formal understanding of the Monte Carlo method.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eReuven Y. Rubinstein, DSc,\u003c\/b\u003e was Professor Emeritus in the Faculty of Industrial Engineering and Management at Technion-Israel Institute of Technology. He served as a consultant at numerous large-scale organizations, such as IBM, Motorola, and NEC. The author of over 100 articles and six books, Dr. Rubinstein was also the inventor of the popular score-function method in simulation analysis and generic cross-entropy methods for combinatorial optimization and counting.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eDirk P. Kroese, PhD, \u003c\/b\u003eis a Professor of Mathematics and Statistics in the School of Mathematics and Physics of The University of Queensland, Australia. He has published over 100 articles and four books in a wide range of areas in applied probability and statistics, including Monte Carlo methods, cross-entropy, randomized algorithms, tele-traffic c theory, reliability, computational statistics, applied probability, and stochastic modeling\u003ci\u003e.\u003c\/i\u003e\u003c\/p\u003e","brand":"None","offers":[{"title":"Hardcover","offer_id":46153184149681,"sku":"9781118632161","price":199.95,"currency_code":"CAD","in_stock":true},{"title":"Kobo eBook","offer_id":46153184182449,"sku":"8b404a0a-5f28-3319-ab9c-df49f4c6648c","price":159.99,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_26a4a3fe-b9e0-4bf3-9644-fa426e4fb2f8.jpg?v=1763685684"},{"product_id":"convergence-of-probability-measures","title":"Convergence of Probability Measures","description":"Im Mittelpunkt dieses Buches stehen langsam konvergierende Methoden in metrischen Räumen, deren Fähigkeiten und Nutzen anhand zahlreicher Beispiele vorgeführt werden. Die überarbeitete 2. Auflage enthält jetzt auch Angaben zu Unterräumen, dem Skorohodschen Darstellungstheorem, der Prohorov-Metrik und dem Poisson-Limit. (09\/99)\u003cbr\u003e","brand":"None","offers":[{"title":"Hardcover","offer_id":46153321349297,"sku":"9780471197454","price":283.95,"currency_code":"CAD","in_stock":true},{"title":"Kobo eBook","offer_id":46153321382065,"sku":"08ae1564-3467-326a-a0f0-c279a8405645","price":227.99,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_e3c71a74-78dc-413b-b722-e2d0a9b82b24.jpg?v=1763684325"},{"product_id":"the-best-writing-on-mathematics-2020","title":"The Best Writing on Mathematics 2020","description":"\u003cp\u003e\u003cb\u003eThe year's finest mathematical writing from around the world\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003eThis annual anthology brings together the year’s finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, \u003ci\u003eThe Best Writing on Mathematics 2020\u003c\/i\u003e makes available to a wide audience many articles not easily found anywhere else—and you don’t need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday aspects of math, and take readers behind the scenes of today’s hottest mathematical debates.\u003cbr\u003e\u003cbr\u003eHere, Steven Strogatz reveals how calculus drives advances in virology, Paul Thagard argues that the power of mathematics stems from its combination of realistic and fictional qualities, and Erica Klarreich describes how Hao Huang used the combinatorics of cube nodes to solve a longstanding problem in computer science. In other essays, John Baez tells how he discovered the irresistible attractions of algebraic geometry, Mark Colyvan compares the radically different explanatory practices of mathematics and science, and Boris Odehnal reviews some surprising properties of multidimensional geometries. And there’s much, much more.\u003cbr\u003e\u003cbr\u003eIn addition to presenting the year’s most memorable writings on mathematics, this must-have anthology includes a bibliography of other notable writings and an introduction by the editor.\u003cbr\u003e\u003cbr\u003eThis book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.\u003c\/p\u003e","brand":"None","offers":[{"title":"Paperback","offer_id":46153894625457,"sku":"9780691207568","price":34.0,"currency_code":"CAD","in_stock":true},{"title":"Hardcover","offer_id":46153894658225,"sku":"9780691207575","price":183.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_7f64634a-15ab-44b5-b927-369d949a94af.jpg?v=1763635935"},{"product_id":"modern-fourier-analysis","title":"Modern Fourier Analysis","description":"\u003cp\u003eThis text is aimed at graduate students in mathematics and to interested researchers who wish to acquire an in depth understanding of Euclidean Harmonic analysis. The text covers\u003ci\u003emodern\u003c\/i\u003etopics and techniques in function spaces, atomic decompositions, singular integrals of nonconvolution type and the boundedness and convergence of Fourier series and integrals. The exposition and style are designed to stimulate further study and promote research. Historical information and references are included at the end of each chapter.\u003c\/p\u003e\u003cp\u003eThis third edition includes a new chapter entitled \"Multilinear Harmonic Analysis\" which focuses on topics related to multilinear operators and their applications. Sections 1.1 and 1.2 are also new in this edition. Numerous corrections have been made to the text from the previous editions and several improvements have been incorporated, such as the adoption of clear and elegant statements. A few more exercises have been added with relevant hints when necessary.\u003c\/p\u003e","brand":"None","offers":[{"title":"Paperback (2016)","offer_id":46153911042225,"sku":"9781493950782","price":124.5,"currency_code":"CAD","in_stock":false},{"title":"Paperback (2017)","offer_id":46153911074993,"sku":"9781441918567","price":102.5,"currency_code":"CAD","in_stock":false},{"title":"Hardcover","offer_id":46153911107761,"sku":"9781493912292","price":131.5,"currency_code":"CAD","in_stock":false},{"title":"Kobo eBook","offer_id":46153911140529,"sku":"66af481a-9f92-3b0c-8d97-d29544e8f093","price":90.29,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_1308b1c3-1678-4adb-91f0-3a8d13738071.jpg?v=1763515253"},{"product_id":"the-motion-of-a-surface-by-its-mean-curvature","title":"The Motion of a Surface by Its Mean Curvature","description":"\u003cp\u003eKenneth Brakke studies in general dimensions a dynamic system of surfaces of no inertial mass driven by the force of surface tension and opposed by a frictional force proportional to velocity. He formulates his study in terms of varifold surfaces and uses the methods of geometric measure theory to develop a mathematical description of the motion of a surface by its mean curvature. This mathematical description encompasses, among other subtleties, those of changing geometries and instantaneous mass losses.\u003cbr\u003e\u003cbr\u003eOriginally published in 1978.\u003cbr\u003e\u003cbr\u003eThe \u003cb\u003ePrinceton Legacy Library\u003c\/b\u003e uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.\u003c\/p\u003e","brand":"None","offers":[{"title":"Hardcover","offer_id":46153901441201,"sku":"9780691639512","price":210.0,"currency_code":"CAD","in_stock":true},{"title":"Paperback","offer_id":46153901473969,"sku":"9780691611518","price":83.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_2474ff54-f2da-4105-a3fd-f87c303fd974.jpg?v=1763714732"},{"product_id":"braid-groups","title":"Braid Groups","description":"\u003cp\u003eBraids and braid groups, the focus of this text, have been at the heart of important mathematical developments over the last two decades. Their association with permutations has led to their presence in a number of mathematical fields and physics. As central objects in knot theory and 3-dimensional topology, braid groups has led to the creation of a new field called quantum topology.\u003c\/p\u003e\u003cp\u003eIn this well-written presentation, motivated by numerous examples and problems, the authors introduce the basic theory of braid groups, highlighting several definitions that show their equivalence; this is followed by a treatment of the relationship between braids, knots and links. Important results then treat the linearity and orderability of the subject. Relevant additional material is included in five large appendices.\u003c\/p\u003e\u003cp\u003e\u003cem\u003eBraid Groups\u003c\/em\u003ewill serve graduate students and a number of mathematicians coming from diverse disciplines.\u003c\/p\u003e","brand":"None","offers":[{"title":"Paperback","offer_id":46153893445809,"sku":"9781441922205","price":116.95,"currency_code":"CAD","in_stock":true},{"title":"Hardcover","offer_id":46153893478577,"sku":"9780387338415","price":159.5,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_25541143-86d3-4d27-adc8-a81fb844eae9.jpg?v=1763515707"},{"product_id":"contests-in-higher-mathematics","title":"Contests in Higher Mathematics: Miklos Schweitzer Competitions 1962-1991","description":"One of the most effective ways to stimulate students to enjoy intellectual efforts is the scientific competition. In 1894 the Hungarian Mathematical and Physical Society introduced a mathematical competition for high school students. The success of high school competitions led the Mathematical Society to found a college level contest, named after Miklós Schweitzer. The problems of the Schweitzer Contests are proposed and selected by the most prominent Hungarian mathematicians. This book collects the problems posed in the contests between 1962 and 1991 which range from algebra, combinatorics, theory of functions, geometry, measure theory, number theory, operator theory, probability theory, topology, to set theory. The second part contains the solutions. The Schweitzer competition is one of the most unique in the world. The experience shows that this competition helps to identify research talents. This collection of problems and solutions in several fields in mathematics can serve as a guide for many undergraduates and young mathematicians. The large variety of research level problems might be of interest for more mature mathematicians and historians of mathematics as well.","brand":"None","offers":[{"title":"Paperback","offer_id":46153870049457,"sku":"9781461268864","price":248.5,"currency_code":"CAD","in_stock":true},{"title":"Hardcover","offer_id":46153870082225,"sku":"9780387945880","price":220.95,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_522a1a7f-ac9a-4007-9939-8fc5811c9a2c.jpg?v=1763136701"},{"product_id":"bounded-analytic-functions","title":"Bounded Analytic Functions","description":"\u003cp\u003e\"This book is an account of the theory of Hardy spaces in one dimension, with emphasis on some of the exciting developments of the past two decades or so. The last seven of the ten chapters are devoted in the main to these recent developments. The motif of the theory of Hardy spaces is the interplay between real, complex, and abstract analysis. While paying proper attention to each of the three aspects, the author has underscored the effectiveness of the methods coming from real analysis, many of them developed as part of a program to extend the theory to Euclidean spaces, where the complex methods are not available...Each chapter ends with a section called Notes and another called Exercises and further results. The former sections contain brief historical comments and direct the reader to the original sources for the material in the text.\"\u003c\/p\u003e\u003cp\u003eDonald Sarason, MathSciNet\u003c\/p\u003e\u003cp\u003e\"The book, which covers a wide range of beautiful topics in analysis, is extremely well organized and well written, with elegant, detailed proofs.\"\u003c\/p\u003e\u003cp\u003eFrom the citation for the AMS Steele Prize for exposition\u003c\/p\u003e","brand":"None","offers":[{"title":"Paperback","offer_id":46153889546417,"sku":"9781441922168","price":116.95,"currency_code":"CAD","in_stock":true},{"title":"Hardcover","offer_id":46153889579185,"sku":"9780387336213","price":159.5,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_80dd2b28-1323-4ef1-abf4-6dff1dda66e0.jpg?v=1763516116"},{"product_id":"cyclotomic-fields-i-and-ii","title":"Cyclotomic Fields I and II","description":"Kummer's work on cyclotomic fields paved the way for the development of algebraic number theory in general by Dedekind, Weber, Hensel, Hilbert, Takagi, Artin and others. However, the success of this general theory has tended to obscure special facts proved by Kummer about cyclotomic fields which lie deeper than the general theory. For a long period in the 20th century this aspect of Kummer's work seems to have been largely forgotten, except for a few papers, among which are those by Pollaczek [Po], Artin-Hasse [A-H] and Vandiver [Va]. In the mid 1950's, the theory of cyclotomic fields was taken up again by Iwasawa and Leopoldt. Iwasawa viewed cyclotomic fields as being analogues for number fields of the constant field extensions of algebraic geometry, and wrote a great sequence of papers investigating towers of cyclotomic fields, and more generally, Galois extensions of number fields whose Galois group is isomorphic to the additive group of p-adic integers. Leopoldt concentrated on a fixed cyclotomic field, and established various p-adic analogues of the classical complex analytic class number formulas. In particular, this led him to introduce, with Kubota, p-adic analogues of the complex L-functions attached to cyclotomic extensions of the rationals. Finally, in the late 1960's, Iwasawa [Iw 11] made the fundamental discovery that there was a close connection between his work on towers of cyclotomic fields and these p-adic L-functions of Leopoldt - Kubota.","brand":"None","offers":[{"title":"Paperback","offer_id":46153883713713,"sku":"9781461269724","price":116.95,"currency_code":"CAD","in_stock":true},{"title":"Hardcover","offer_id":46153883746481,"sku":"9780387966717","price":129.95,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_db346705-d355-4774-a8c2-ebb88f9b336a.jpg?v=1763514374"},{"product_id":"steps-in-commutative-algebra","title":"Steps in Commutative Algebra","description":"This introductory account of commutative algebra is aimed at students with a background only in basic algebra. Professor Sharp's book provides a good foundation from which the reader can proceed to more advanced works in commutative algebra or algebraic geometry. This new edition contains additional chapters on regular sequences and on Cohen-Macaulay rings.","brand":"None","offers":[{"title":"Paperback","offer_id":46153888661681,"sku":"9780521646239","price":90.95,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_8ee47202-639c-440e-8696-e94c19fb488f.jpg?v=1763637358"},{"product_id":"a-course-in-number-theory-and-cryptography","title":"A Course in Number Theory and Cryptography","description":". . . both Gauss and lesser mathematicians may be justified in rejoic­ ing that there is one science [number theory] at any rate, and that their own, whose very remoteness from ordinary human activities should keep it gentle and clean. - G. H. Hardy, A Mathematician's Apology, 1940 G. H. Hardy would have been surprised and probably displeased with the increasing interest in number theory for application to \"ordinary human activities\" such as information transmission (error-correcting codes) and cryptography (secret codes). Less than a half-century after Hardy wrote the words quoted above, it is no longer inconceivable (though it hasn't happened yet) that the N. S. A. (the agency for U. S. government work on cryptography) will demand prior review and clearance before publication of theoretical research papers on certain types of number theory. In part it is the dramatic increase in computer power and sophistica­ tion that has influenced some of the questions being studied by number theorists, giving rise to a new branch of the subject, called \"computational number theory. \" This book presumes almost no background in algebra or number the­ ory. Its purpose is to introduce the reader to arithmetic topics, both ancient and very modern, which have been at the center of interest in applications, especially in cryptography. For this reason we take an algorithmic approach, emphasizing estimates of the efficiency of the techniques that arise from the theory.","brand":"None","offers":[{"title":"Paperback","offer_id":46153870704817,"sku":"9781461264422","price":94.95,"currency_code":"CAD","in_stock":true},{"title":"Hardcover","offer_id":46153870737585,"sku":"9780387942933","price":84.5,"currency_code":"CAD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_f50f93de-0bca-4bf8-98f0-6252d3b4835e.jpg?v=1763514373"},{"product_id":"experiments-with-mixtures","title":"Experiments with Mixtures: Designs, Models, and the Analysis of Mixture Data","description":"The most comprehensive, single-volume guide to conductingexperiments with mixtures\u003cbr\u003e \u003cbr\u003e \"If one is involved, or heavily interested, in experiments onmixtures of ingredients, one must obtain this book. It is, as wasthe first edition, the definitive work.\"\u003cbr\u003e -Short Book Reviews (Publication of the International StatisticalInstitute)\u003cbr\u003e \u003cbr\u003e \"The text contains many examples with worked solutions and with itsextensive coverage of the subject matter will prove invaluable tothose in the industrial and educational sectors whose work involvesthe design and analysis of mixture experiments.\"\u003cbr\u003e -Journal of the Royal Statistical Society\u003cbr\u003e \u003cbr\u003e \"The author has done a great job in presenting the vitalinformation on experiments with mixtures in a lucid and readablestyle. . . . A very informative, interesting, and useful book on animportant statistical topic.\"\u003cbr\u003e -Zentralblatt fur Mathematik und Ihre Grenzgebiete\u003cbr\u003e \u003cbr\u003e Experiments with Mixtures shows researchers and students how todesign and set up mixture experiments, then analyze the data anddraw inferences from the results. Virtually every technique thathas appeared in the literature of mixtures can be found here, andcomputing formulas for each method are provided with completelyworked examples. Almost all of the numerical examples are takenfrom real experiments. Coverage begins with Scheffe latticedesigns, introducing the use of independent variables, and endswith the most current methods. New material includes:\u003cbr\u003e * Multiple response cases\u003cbr\u003e * Residuals and least-squares estimates\u003cbr\u003e * Categories of components: Mixtures of mixtures\u003cbr\u003e * Fixed as well as variable values for the major componentproportions\u003cbr\u003e * Leverage and the Hat Matrix\u003cbr\u003e * Fitting a slack-variable model\u003cbr\u003e * Estimating components of variances in a mixed model using ANOVAtable entries\u003cbr\u003e * Clarification of blocking mates and choice of mates\u003cbr\u003e * Optimizing several responses simultaneously\u003cbr\u003e * Biplots for multiple responses","brand":"None","offers":[{"title":"Hardcover","offer_id":46153918578865,"sku":"9780471393672","price":297.95,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_43fc038c-8459-4ba3-962c-c4d457294612.jpg?v=1763684332"},{"product_id":"nonlinear-partial-differential-equations-for-scientists-and-engineers","title":"Nonlinear Partial Differential Equations for Scientists and Engineers","description":"\u003cp\u003eThe revised and enlarged third edition of this successful book presents a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied and updated applications. In an effort to make the book more useful for a diverse readership, updated modern examples of applications are chosen from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics, acoustics, and wave propagation.\u003c\/p\u003e\u003cp\u003e\u003ci\u003eNonlinear Partial Differential Equations for Scientists and Engineers, Third Edition,\u003c\/i\u003eimproves on an already highly complete and accessible resource for graduate students and professionals in mathematics, physics, science, and engineering. It may be used to great effect as a course textbook, research reference, or self-study guide.\u003c\/p\u003e","brand":"None","offers":[{"title":"Hardcover","offer_id":46153875914929,"sku":"9780817682644","price":232.5,"currency_code":"CAD","in_stock":true},{"title":"Kobo eBook","offer_id":46153875947697,"sku":"e1994ce7-66d0-3f43-8406-0b2b9d30ba6e","price":180.69,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_5e50bde4-c1a3-423f-9fe9-4c3e383c87af.jpg?v=1763378496"},{"product_id":"statistics-in-genetics-and-in-the-environmental-sciences","title":"Statistics in Genetics and in the Environmental Sciences","description":"Statistics is strongly tied to applications in different scientific disciplines, and the most challenging statistical problems arise from problems in the sciences. In fact, the most innovative statistical research flows from the needs of applications in diverse settings. This volume is a testimony to the crucial role that statistics plays in scientific disciplines such as genetics and environmental sciences, among others. The articles in this volume range from human and agricultural genetic DNA research to carcinogens and chemical concentrations in the environment and to space debris and atmospheric chemistry. Also included are some articles on statistical methods which are sufficiently general and flexible to be applied to many practical situations. The papers were refereed by a panel of experts and the editors of the volume. The contributions are based on the talks presented at the Workshop on Statistics and the Sciences, held at the Centro Stefano Franscini in Ascona, Switzerland, during the week of May 23 to 28, 1999. The meeting was jointly organized by the Swiss Federal Institutes of Technology in Lausanne and Zurich, with the financial support of the Minerva Research Foundation. As the presentations at the workshop helped the participants recognize the po­ tential role that statistics can play in the sciences, we hope that this volume will help the reader to focus on the central role of statistics in the specific areas presented here and to extrapolate the results to further applications.","brand":"None","offers":[{"title":"Paperback","offer_id":46153880142001,"sku":"9783034895187","price":160.95,"currency_code":"CAD","in_stock":true},{"title":"Hardcover","offer_id":46153880174769,"sku":"9783764365752","price":142.95,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_25ac9512-8039-48ce-ab9d-5af957d70ea1.jpg?v=1763439631"},{"product_id":"modular-forms-and-galois-cohomology","title":"Modular Forms and Galois Cohomology","description":"This book provides a comprehensive account of a key, perhaps the most important, theory that forms the basis of Taylor-Wiles proof of Fermat's last theorem. Hida begins with an overview of the theory of automorphic forms on linear algebraic groups and then covers the basic theory and recent results on elliptic modular forms, including a substantial simplification of the Taylor-Wiles proof by Fujiwara and Diamond. He offers a detailed exposition of the representation theory of profinite groups (including deformation theory), as well as the Euler characteristic formulas of Galois cohomology groups. The final chapter presents a proof of a non-abelian class number formula.","brand":"None","offers":[{"title":"Paperback","offer_id":46154195894449,"sku":"9780521072083","price":109.95,"currency_code":"CAD","in_stock":true},{"title":"Hardcover","offer_id":46154195927217,"sku":"9780521770361","price":205.95,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_6444743d-0b70-4004-a2df-feb66a4aa7cb.jpg?v=1764384363"},{"product_id":"introduction-to-harmonic-analysis-on-reductive-p-adic-groups","title":"Introduction to Harmonic Analysis on Reductive P-adic Groups: Based on lectures by Harish-Chandra at The Institute for Advanced Study, 1971-73","description":"\u003cp\u003eBased on a series of lectures given by Harish-Chandra at the Institute for Advanced Study in 1971-1973, this book provides an introduction to the theory of harmonic analysis on reductive p-adic groups.\u003cbr\u003e\u003cbr\u003eOriginally published in 1979.\u003cbr\u003e\u003cbr\u003eThe \u003cb\u003ePrinceton Legacy Library\u003c\/b\u003e uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.\u003c\/p\u003e","brand":"None","offers":[{"title":"Hardcover","offer_id":46154096476337,"sku":"9780691639376","price":304.0,"currency_code":"CAD","in_stock":true},{"title":"Paperback","offer_id":46154096509105,"sku":"9780691611365","price":125.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_7ac39f39-0301-4917-a987-3101a32357f2.jpg?v=1763679152"},{"product_id":"surveys-on-surgery-theory-volume-2","title":"Surveys on Surgery Theory, Volume 2: Papers Dedicated to C.T.C. Wall","description":"\u003cp\u003eSurgery theory, the basis for the classification theory of manifolds, is now about forty years old. The sixtieth birthday (on December 14, 1996) of C.T.C. Wall, a leading member of the subject's founding generation, led the editors of this volume to reflect on the extraordinary accomplishments of surgery theory as well as its current enormously varied interactions with algebra, analysis, and geometry.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e  Workers in many of these areas have often lamented the lack of a single source surveying surgery theory and its applications. Because no one person could write such a survey, the editors asked a variety of experts to report on the areas of current interest. This is the second of two volumes resulting from that collective effort. It will be useful to topologists, to other interested researchers, and to advanced students. The topics covered include current applications of surgery, Wall's finiteness obstruction, algebraic surgery, automorphisms and embeddings of manifolds, surgery theoretic methods for the study of group actions and stratified spaces, metrics of positive scalar curvature, and surgery in dimension four.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e  In addition to the editors, the contributors are S. Ferry, M. Weiss, B. Williams, T. Goodwillie, J. Klein, S. Weinberger, B. Hughes, S. Stolz, R. Kirby, L. Taylor, and F. Quinn.\u003c\/p\u003e","brand":"None","offers":[{"title":"Paperback","offer_id":46154064462001,"sku":"9780691088150","price":199.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_3b3c15e6-8cad-4ade-96c4-60633a3449e9.jpg?v=1763635925"},{"product_id":"two-applications-of-logic-to-mathematics","title":"Two Applications of Logic to Mathematics","description":"\u003cp\u003eUsing set theory in the first part of his book, and proof theory in the second, Gaisi Takeuti gives us two examples of how mathematical logic can be used to obtain results previously derived in less elegant fashion by other mathematical techniques, especially analysis. In Part One, he applies Scott- Solovay's Boolean-valued models of set theory to analysis by means of complete Boolean algebras of projections. In Part Two, he develops classical analysis including complex analysis in Peano's arithmetic, showing that any arithmetical theorem proved in analytic number theory is a theorem in Peano's arithmetic. In doing so, the author applies Gentzen's cut elimination theorem.\u003cbr\u003e\u003cbr\u003e Although the results of Part One may be regarded as straightforward consequences of the spectral theorem in function analysis, the use of Boolean- valued models makes explicit and precise analogies used by analysts to lift results from ordinary analysis to operators on a Hilbert space. Essentially expository in nature, Part Two yields a general method for showing that analytic proofs of theorems in number theory can be replaced by elementary proofs.\u003cbr\u003e\u003cbr\u003eOriginally published in 1978.\u003cbr\u003e\u003cbr\u003eThe \u003cb\u003ePrinceton Legacy Library\u003c\/b\u003e uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.\u003c\/p\u003e","brand":"None","offers":[{"title":"Hardcover","offer_id":46154091004081,"sku":"9780691638379","price":130.0,"currency_code":"CAD","in_stock":true},{"title":"Paperback (1987)","offer_id":46154091036849,"sku":"9780520061743","price":43.26,"currency_code":"CAD","in_stock":true},{"title":"Paperback (2015)","offer_id":46154091069617,"sku":"9780691610221","price":56.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_40d49011-3085-4e13-b24d-27128884e380.jpg?v=1763679151"},{"product_id":"complete-mathsmart-7","title":"Complete Mathsmart 7: Canadian Curriculum Math Workbook For Grade 7","description":"The Complete MathSmart series extends to Grades 7 to 9, providing students with easy-to-understand explanations and examples, and walking them through the often hard-to-grasp math concepts so that they can approach math with confidence and consolidate the essential math skills.\u003cbr\u003e\u003cbr\u003e Inside Complete MathSmart Grade 7 math workbook: \u003cbr\u003e\u003cbr\u003eMathematics worksheets cover number theory, squares and square roots, multiples and factors, integers, decimals, fractions, ratios, rates, percents, equations, algebraic expressions, measurement, approximation, coordinates, angles and lines, angles and shapes, statistics, transformations, probability, order of operations, applications of whole numbers, exponents, simple interest, patterns, linear equations, perimeter, area, volume, surface area, congruence and similarity, transformations and tiling, data management, analysis of data, and probability.","brand":"None","offers":[{"title":"Paperback (2005 G)","offer_id":46154166403249,"sku":"9781897164211","price":16.95,"currency_code":"CAD","in_stock":false},{"title":"Paperback (2005 F)","offer_id":46154166436017,"sku":"9781897164167","price":16.95,"currency_code":"CAD","in_stock":false},{"title":"Paperback (2005 D)","offer_id":46154166468785,"sku":"9781897164143","price":16.95,"currency_code":"CAD","in_stock":false},{"title":"Paperback (2005 H)","offer_id":46154166501553,"sku":"9781897164228","price":16.95,"currency_code":"CAD","in_stock":false},{"title":"Paperback (2005 A)","offer_id":46154166534321,"sku":"9781897164112","price":16.95,"currency_code":"CAD","in_stock":false},{"title":"Paperback (2005 C)","offer_id":46154166567089,"sku":"9781897164136","price":16.95,"currency_code":"CAD","in_stock":false},{"title":"Paperback (2005 B)","offer_id":46154166599857,"sku":"9781897164129","price":16.95,"currency_code":"CAD","in_stock":false},{"title":"Paperback (2005 E)","offer_id":46154166632625,"sku":"9781897164150","price":16.95,"currency_code":"CAD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_de24f70d-c7db-43d2-87bd-17f926998fb4.jpg?v=1763138584"},{"product_id":"topics-in-banach-space-theory","title":"Topics in Banach Space Theory","description":"\u003cp\u003eThis text provides the reader with the necessary technical tools and background to reach the frontiers of research without the introduction of too many extraneous concepts. Detailed and accessible proofs are included, as are a variety of exercises and problems. The two new chapters in this second edition are devoted to two topics of much current interest amongst functional analysts: Greedy approximation with respect to bases in Banach spaces and nonlinear geometry of Banach spaces.  This new material is intended to present  these two directions of research for their intrinsic importance within Banach space theory, and to motivate graduate students interested in learning more about them.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003eThis textbook assumes only a basic knowledge of functional analysis, giving the reader a self-contained overview of the ideas and techniques in the development of modern Banach space theory. Special emphasis is placed on the study of the classical Lebesgue spaces Lp (and their sequence space analogues) and spaces of continuous functions. The authors also stress the use of bases and basic sequences techniques as a tool for understanding the isomorphic structure of Banach spaces.\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eFrom the reviews of the First Edition\u003c\/strong\u003e :\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\"The authors of the book...succeeded admirably in creating a very helpful text, which contains essential topics with optimal proofs, while being reader friendly... It is also written in a lively manner, and its involved mathematical proofs are elucidated and illustrated by motivations, explanations and occasional historical comments... I strongly recommend to every graduate student who wants to get acquainted with this exciting part of functional analysis the instructive and pleasant reading of this book...\"\u003c\/p\u003e\u003cp\u003e-Gilles Godefroy, \u003cstrong\u003eMathematical Reviews\u003c\/strong\u003e\u003c\/p\u003e","brand":"None","offers":[{"title":"Hardcover","offer_id":46154079502513,"sku":"9783319315553","price":131.5,"currency_code":"CAD","in_stock":false},{"title":"Paperback","offer_id":46154079535281,"sku":"9781441920997","price":124.5,"currency_code":"CAD","in_stock":false},{"title":"Kobo eBook","offer_id":46154079568049,"sku":"c6c5635a-64aa-3cb0-ad8d-86890f1d756e","price":103.19,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_05afcf6b-55ac-4237-8b74-3ba8be75c4ce.jpg?v=1763517512"},{"product_id":"the-geometry-of-syzygies","title":"The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra","description":"\u003cp\u003eAlgebraic Geometry often seems very abstract, but in fact it is full of concrete examples and problems. This side of the subject can be approached through the equations of a variety, and the syzygies of these equations are a necessary part of the study. This book is the first textbook-level account of basic examples and techniques in this area. It illustrates the use of syzygies in many concrete geometric considerations, from interpolation to the study of canonical curves. The text has served as a basis for graduate courses by the author at Berkeley, Brandeis, and in Paris. It is also suitable for self-study by a reader who knows a little commutative algebra and algebraic geometry already. As an aid to the reader, the appendices provide summaries of local cohomology and commutative algebra, tying together examples and major results from a wide range of topics.\u003c\/p\u003e","brand":"None","offers":[{"title":"Paperback","offer_id":46154085695665,"sku":"9780387222325","price":72.95,"currency_code":"CAD","in_stock":true},{"title":"Hardcover","offer_id":46154085728433,"sku":"9780387222158","price":144.95,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_d8bfaa7a-66ee-476f-ab9b-64f8207e5af0.jpg?v=1763513451"},{"product_id":"brownian-motion-and-stochastic-calculus","title":"Brownian Motion and Stochastic Calculus","description":"\u003cp\u003eThis book is designed as a text for graduate courses in stochastic processes. It is written for readers familiar with measure-theoretic probability and discrete-time processes who wish to explore stochastic processes in continuous time. The vehicle chosen for this exposition is Brownian motion, which is presented as the canonical example of both a martingale and a Markov process with continuous paths. In this context, the theory of stochastic integration and stochastic calculus is developed. The power of this calculus is illustrated by results concerning representations of martingales and change of measure on Wiener space, and these in turn permit a presentation of recent advances in financial economics (option pricing and consumption\/investment optimization).\u003c\/p\u003e\u003cp\u003eThis book contains a detailed discussion of weak and strong solutions of stochastic differential equations and a study of local time for semimartingales, with special emphasis on the theory of Brownian local time. The text is complemented by a large number of problems and exercises.\u003c\/p\u003e","brand":"None","offers":[{"title":"Paperback","offer_id":46154254811313,"sku":"9780387976556","price":94.95,"currency_code":"CAD","in_stock":true},{"title":"Kobo eBook","offer_id":46154254844081,"sku":"2b0d4c71-878f-3829-a44c-47a9412130ad","price":63.89,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_93b2ce84-65a2-438b-9613-88705cb2a635.jpg?v=1763519777"},{"product_id":"sensitivity-analysis","title":"Sensitivity Analysis","description":"The Wiley Paperback Series makes valuable content more accessible to a new generation of statisticians, mathematicians and scientists.  \u003cp\u003eSensitivity analysis is used to ascertain how a given model output depends upon the input parameters. This is an important method for checking the quality of a given model, as well as a powerful tool for checking the robustness and reliability of its analysis. The topic is acknowledged as essential for good modelling practice and is an implicit part of any modelling field.\u003c\/p\u003e \u003cul\u003e \u003cli\u003eOffers an accessible introduction to sensitivity analysis.\u003c\/li\u003e \u003cli\u003eCovers all the latest research.\u003c\/li\u003e \u003cli\u003eIllustrates concepts with numerous examples, applications and case studies.\u003c\/li\u003e \u003cli\u003eIncludes contributions from the leading researchers active in developing strategies for sensitivity analysis.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eThe principles of sensitivity analysis are carefully described and suitable methods for approaching many types of problems are given. The book introduces the modeller to the entire casual assessment chain, from data to predictions, whilst explaining the impact of source uncertainties and framing assumptions. A ‘hitch-hikers guide’ is included to allow the more experienced reader to readily access specific applications.\u003c\/p\u003e \u003cp\u003eModellers from a wide range of disciplines, including biostatistics, economics, environmental impact assessment, chemistry and engineering will benefit greatly from the numerous examples and applications.\u003c\/p\u003e \u003cp\u003e\"Presents many different sensitivity analysis methodologies and demonstrates their usefulness in scientific research.\" (Zentralblatt MATH)\u003c\/p\u003e","brand":"None","offers":[{"title":"Paperback","offer_id":46154134126769,"sku":"9780470743829","price":119.95,"currency_code":"CAD","in_stock":true},{"title":"Hardcover","offer_id":46154134159537,"sku":"9780471998921","price":258.95,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_fab74d93-5964-448a-b150-f03a7bd7afb3.jpg?v=1763679157"},{"product_id":"multiple-comparison-procedures","title":"Multiple Comparison Procedures","description":"Offering a balanced, up-to-date view of multiple comparison procedures, this book refutes the belief held by some statisticians that such procedures have no place in data analysis. With equal emphasis on theory and applications, it establishes the advantages of multiple comparison techniques in reducing error rates and in ensuring the validity of statistical inferences. Provides detailed descriptions of the derivation and implementation of a variety of procedures, paying particular attention to classical approaches and confidence estimation procedures. Also discusses the benefits and drawbacks of other methods. Numerous examples and tables for implementing procedures are included, making this work both practical and informative.","brand":"None","offers":[{"title":"Paperback","offer_id":46154118004913,"sku":"9780470568330","price":155.95,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_111e59eb-9689-47ec-be99-dc60c23e7b87.jpg?v=1763683881"},{"product_id":"categorical-data-analysis","title":"Categorical Data Analysis","description":"\u003cp\u003e\u003cb\u003ePraise for the Second Edition\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\"A must-have book for anyone expecting to do research and\/or applications in categorical data analysis.\"\u003cbr\u003e —\u003ci\u003eStatistics in Medicine\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e\"It is a total delight reading this book.\"\u003cbr\u003e —\u003ci\u003ePharmaceutical Research\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e\"If you do any analysis of categorical data, this is an essential desktop reference.\"\u003cbr\u003e —\u003ci\u003eTechnometrics\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eThe use of statistical methods for analyzing categorical data has increased dramatically, particularly in the biomedical, social sciences, and financial industries. Responding to new developments, this book offers a comprehensive treatment of the most important methods for categorical data analysis.\u003c\/p\u003e \u003cp\u003e\u003ci\u003eCategorical Data Analysis, Third Edition\u003c\/i\u003e summarizes the latest methods for univariate and correlated multivariate categorical responses. Readers will find a unified generalized linear models approach that connects logistic regression and Poisson and negative binomial loglinear models for discrete data with normal regression for continuous data. This edition also features:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eAn emphasis on logistic and probit regression methods for binary, ordinal, and nominal responses for independent observations and for clustered data with marginal models and random effects models\u003c\/li\u003e \u003cli\u003eTwo new chapters on alternative methods for binary response data, including smoothing and regularization methods, classification methods such as linear discriminant analysis and classification trees, and cluster analysis\u003c\/li\u003e \u003cli\u003eNew sections introducing the Bayesian approach for methods in that chapter\u003c\/li\u003e \u003cli\u003eMore than 100 analyses of data sets and over 600 exercises\u003c\/li\u003e \u003cli\u003eNotes at the end of each chapter that provide references to recent research and topics not covered in the text, linked to a bibliography of more than 1,200 sources\u003c\/li\u003e \u003cli\u003eA supplementary website showing how to use R and SAS; for all examples in the text, with information also about SPSS and Stata and with exercise solutions\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003ci\u003eCategorical Data Analysis, Third Edition\u003c\/i\u003e is an invaluable tool for statisticians and methodologists, such as biostatisticians and researchers in the social and behavioral sciences, medicine and public health, marketing, education, finance, biological and agricultural sciences, and industrial quality control.\u003c\/p\u003e","brand":"None","offers":[{"title":"Hardcover","offer_id":46154131669169,"sku":"9780470463635","price":231.95,"currency_code":"CAD","in_stock":true},{"title":"Kobo eBook","offer_id":46154131701937,"sku":"3a8f7c0a-7c68-3823-9c5d-dae7402fe1c0","price":185.99,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_46b1b196-f663-45a0-9e2a-7c3d1158c9bb.jpg?v=1763679155"},{"product_id":"emerging-perspectives-on-gesture-and-embodiment-in-mathematics","title":"Emerging Perspectives on Gesture and Embodiment in Mathematics","description":"\u003cp\u003eThe purpose of the book is to establish a common language for, and understanding of, embodiment as it applies to mathematical thinking, and to link mathematics education research to recent work in gesture studies, cognitive linguistics and the theory of embodied cognition. Just as in past decades, mathematics education experienced a \"turn to the social\" in which socio-cultural factors were explored, in recent years there has been a nascent \"turn to the body.\" An increasing number of researchers and theorists in mathematics education have become interested in the fact that, although mathematics may be socially constructed, this construction is not arbitrary or unconstrained, but rather is rooted in, and shaped by, the body. All those who engage with mathematics, whether at an elementary or advanced level, share the same basic biological and cognitive capabilities, as well as certain common physical experiences that come with being humans living in a material world. In addition, the doing and communicating of mathematics is never a purely intellectual activity: it involves a wide range of bodily actions, from committing inscriptions to paper or whiteboard, to speaking, listening, gesturing and gazing. This volume will present recent research on gesture and mathematics, within a framework that addresses several levels of mathematical development. The chapters will begin with contributions that examine early mathematical and proto-mathematical knowledge, for example, the conservation of volume and counting. The role of gesture in teaching and learning arithmetic procedures will be addressed. Core concepts and tools from secondary level mathematics will be investigated, including algebra, functions and graphing. And finally, research into the embodied understanding of advanced topics in geometry and calculus will be presented.\u003c\/p\u003e\u003cp\u003eThe overall goal for the volume is to acknowledge the multimodal nature of mathematical knowing, and to contribute to the creation of a model of the interactions and mutual influences of bodily motion, spatial thinking, gesture, speech and external inscriptions on mathematical thinking, communication and learning. The intended audience is researchers and theorists in mathematics education as well as graduate students in the field.\u003c\/p\u003e","brand":"None","offers":[{"title":"Paperback","offer_id":46154111221937,"sku":"9781623965532","price":79.99,"currency_code":"CAD","in_stock":true},{"title":"Hardcover","offer_id":46154111254705,"sku":"9781623965549","price":142.99,"currency_code":"CAD","in_stock":true},{"title":"Kobo eBook","offer_id":46696114585810,"sku":"ef3f7b5c-e791-35a9-b92f-e2a980b7da71","price":66.29,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_6da71cb5-2e58-4ba7-a864-2af2da358475.jpg?v=1763632586"},{"product_id":"levy-processes-and-infinitely-divisible-distributions","title":"Lévy Processes and Infinitely Divisible Distributions","description":"Lévy processes are rich mathematical objects and constitute perhaps the most basic class of stochastic processes with a continuous time parameter. This book is intended to provide the reader with comprehensive basic knowledge of Lévy processes, and at the same time serve as an introduction to stochastic processes in general. No specialist knowledge is assumed and proofs are given in detail. Systematic study is made of stable and semi-stable processes, and the author gives special emphasis to the correspondence between Lévy processes and infinitely divisible distributions. All serious students of random phenomena will find that this book has much to offer. Now in paperback, this corrected edition contains a brand new supplement discussing relevant developments in the area since the book's initial publication.","brand":"None","offers":[{"title":"Paperback","offer_id":46154129932465,"sku":"9781107656499","price":113.95,"currency_code":"CAD","in_stock":true},{"title":"Hardcover","offer_id":46154129965233,"sku":"9780521553025","price":226.95,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_b5f94c5a-d885-477f-8c2b-b3e7317f4111.jpg?v=1764374123"},{"product_id":"the-magic-of-math","title":"The Magic of Math: Solving for x and Figuring Out Why","description":"\u003cb\u003eThe world's greatest mental mathematical magician takes us on a spellbinding journey through the wonders of numbers (and more)\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e \"Arthur Benjamin . . . joyfully shows you how to make nature's numbers dance.\" -- Bill Nye (the science guy)\u003cbr\u003e\u003cbr\u003e\u003ci\u003eThe Magic of Math\u003c\/i\u003e is the math book you wish you had in school. Using a delightful assortment of examples-from ice-cream scoops and poker hands to measuring mountains and making magic squares-this book revels in key mathematical fields including arithmetic, algebra, geometry, and calculus, plus Fibonacci numbers, infinity, and, of course, mathematical magic tricks. Known throughout the world as the \"mathemagician,\" Arthur Benjamin mixes mathematics and magic to make the subject fun, attractive, and easy to understand for math fan and math-phobic alike.\u003cbr\u003e\u003cbr\u003e \"A positively joyful exploration of mathematics.\" -- \u003ci\u003ePublishers Weekly\u003c\/i\u003e, starred review\u003cbr\u003e\u003cbr\u003e \"Each [trick] is more dazzling than the last.\" -- \u003ci\u003ePhysics World\u003c\/i\u003e","brand":"None","offers":[{"title":"Paperback","offer_id":46154152116401,"sku":"9780465096213","price":25.99,"currency_code":"CAD","in_stock":true},{"title":"Kobo eBook","offer_id":46154152149169,"sku":"4038cff1-c38d-33ca-a499-1b5a6f4fba60","price":16.99,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_2cc25c0f-9076-45c7-976c-f549d5d72356.jpg?v=1763637358"},{"product_id":"homotopical-topology","title":"Homotopical Topology","description":"This textbook on algebraic topology updates a popular textbook from the golden era of the Moscow school of I. M. Gelfand. The first English translation, done many decades ago, remains very much in demand, although it has been long out-of-print and is difficult to obtain. Therefore, this updated English edition will be much welcomed by the mathematical community. Distinctive features of this book include: a concise but fully rigorous presentation, supplemented by a plethora of illustrations of a high technical and artistic caliber; a huge number of nontrivial examples and computations done in detail; a deeper and broader treatment of topics in comparison to most beginning books on algebraic topology; an extensive, and very concrete, treatment of the machinery of spectral sequences. The second edition contains an entirely new chapter on K-theory and the Riemann-Roch theorem (after Hirzebruch and Grothendieck).","brand":"None","offers":[{"title":"Paperback","offer_id":46154113712305,"sku":"9783319794907","price":124.5,"currency_code":"CAD","in_stock":true},{"title":"Hardcover","offer_id":46154113745073,"sku":"9783319234878","price":124.5,"currency_code":"CAD","in_stock":false},{"title":"Kobo eBook","offer_id":46154113777841,"sku":"212726d5-d55e-39c1-bfc2-1e8267fdf0b3","price":90.29,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_7b5d1b91-fdb2-4f7b-9343-29e9e1630f76.jpg?v=1763517508"},{"product_id":"beautiful-math","title":"Beautiful Math: The Surprisingly Simple Ideas behind the Digital Revolution in How We Live, Work, and Communicate","description":"\u003cb\u003eFrom the bestselling author of \u003ci\u003eQuantum Computing for Everyone\u003c\/i\u003e, a concise, accessible, and elegant approach to mathematics that not only illustrates concepts but also conveys the surprising nature of the digital information age.\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003eMost of us know something about the grand theories of physics that transformed our views of the universe at the start of the twentieth century: quantum mechanics and general relativity. But we are much less familiar with the brilliant theories that make up the backbone of the digital revolution. In \u003ci\u003eBeautiful Math\u003c\/i\u003e, Chris Bernhardt explores the mathematics at the very heart of the information age. He asks questions such as: What is information? What advantages does digital information have over analog? How do we convert analog signals into digital ones? What is an algorithm? What is a \u003ci\u003euniversal\u003c\/i\u003e computer? And how can a machine learn?\u003cbr\u003eThe four major themes of \u003ci\u003eBeautiful Math\u003c\/i\u003e are information, communication, computation, and learning. Bernhardt typically starts with a simple mathematical model of an important concept, then reveals a deep underlying structure connecting concepts from what, at first, appear to be unrelated areas. His goal is to present the concepts using the least amount of mathematics, but nothing is oversimplified. Along the way, Bernhardt also discusses alphabets, the telegraph, and the analog revolution; information theory; redundancy and compression; errors and noise; encryption; how analog information is converted into digital information; algorithms; and, finally, neural networks. Historical anecdotes are included to give a sense of the technology at that time, its impact, and the problems that needed to be solved.\u003cbr\u003eTaking its readers by the hand, regardless of their math background, \u003ci\u003eBeautiful Math\u003c\/i\u003e is a fascinating journey through the mathematical ideas that undergird our everyday digital interactions.","brand":"None","offers":[{"title":"Hardcover","offer_id":46154069115057,"sku":"9780262549776","price":36.95,"currency_code":"CAD","in_stock":true},{"title":"Paperback","offer_id":46699904762066,"sku":"9780262057271","price":25.95,"currency_code":"CAD","in_stock":true},{"title":"Kobo eBook","offer_id":46154069147825,"sku":"df5cee6b-1b43-30a2-9c92-5ed20b54272e","price":29.59,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_cebfc167-fb0d-4cb9-a7c5-11544385f2a6.jpg?v=1763718204"},{"product_id":"combinatorial-commutative-algebra","title":"Combinatorial Commutative Algebra","description":"\u003cp\u003eCombinatorial commutative algebra is an active area of research with thriving connections to other fields of pure and applied mathematics. This book provides a self-contained introduction to the subject, with an emphasis on combinatorial techniques for multigraded polynomial rings, semigroup algebras, and determinantal rings. The eighteen chapters cover a broad spectrum of topics, ranging from homological invariants of monomial ideals and their polyhedral resolutions, to hands-on tools for studying algebraic varieties with group actions, such as toric varieties, flag varieties, quiver loci, and Hilbert schemes. Over 100 figures, 250 exercises, and pointers to the literature make this book appealing to both graduate students and researchers.\u003c\/p\u003e","brand":"None","offers":[{"title":"Paperback","offer_id":46154084843697,"sku":"9780387237077","price":124.5,"currency_code":"CAD","in_stock":true},{"title":"Hardcover","offer_id":46154084876465,"sku":"9780387223568","price":160.95,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_e852ebbc-2ed8-4eb5-8c31-ea25ade23138.jpg?v=1763513453"},{"product_id":"l-e-j-brouwer-topologist-intuitionist-philosopher","title":"L.E.J. Brouwer - Topologist, Intuitionist, Philosopher: How Mathematics Is Rooted in Life","description":"Dirk van Dalen's biography studies the fascinating life of the famous Dutch mathematician and philosopher Luitzen Egbertus Jan Brouwer. Brouwer belonged to a special class of genius; complex and often controversial and gifted with a deep intuition, he had an unparalleled access to the secrets and intricacies of mathematics. Most mathematicians remember L.E.J. Brouwer from his scientific breakthroughs in the young subject of topology and for the famous Brouwer fixed point theorem. Brouwer's main interest, however, was in the foundation of mathematics which led him to introduce, and then consolidate, constructive methods under the name 'intuitionism'. This made him one of the main protagonists in the 'foundation crisis' of mathematics. As a confirmed internationalist, he also got entangled in the interbellum struggle for the ending of the boycott of German and Austrian scientists. This time during the twentieth century was turbulent; nationalist resentment and friction between formalism and intuitionism led to the Mathematische Annalen conflict ('The war of the frogs and the mice'). It was here that Brouwer played a pivotal role. The present biography is an updated revision of the earlier two volume biography in one single book. It appeals to mathematicians and anybody interested in the history of mathematics in the first half of the twentieth century.","brand":"None","offers":[{"title":"Paperback","offer_id":46154101129393,"sku":"9781447169901","price":116.95,"currency_code":"CAD","in_stock":false},{"title":"Hardcover","offer_id":46154101162161,"sku":"9781447146155","price":144.95,"currency_code":"CAD","in_stock":true},{"title":"Kobo eBook","offer_id":46154101194929,"sku":"29161e77-a2f4-3391-87b1-6b9bba25ecbf","price":83.89,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_b7c0922b-4c3b-4af6-b314-3e8035a5957b.jpg?v=1762773350"},{"product_id":"a-primer-of-algebraic-d-modules","title":"A Primer of Algebraic D-Modules","description":"The theory of D-modules is a rich area of study combining ideas from algebra and differential equations, and it has significant applications to diverse areas such as singularity theory and representation theory. This book introduces D-modules and their applications, avoiding all unnecessary technicalities. The author takes an algebraic approach, concentrating on the role of the Weyl algebra. The author assumes very few prerequisites, and the book is virtually self-contained. The author includes exercises at the end of each chapter and gives the reader ample references to the more advanced literature. This is an excellent introduction to D-modules for all who are new to this area.","brand":"None","offers":[{"title":"Hardcover","offer_id":46154138321073,"sku":"9780521551199","price":203.95,"currency_code":"CAD","in_stock":true},{"title":"Paperback","offer_id":46154138353841,"sku":"9780521559089","price":89.95,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_69685171-8b92-4049-87fb-05a25f2e74bf.jpg?v=1763636915"},{"product_id":"spaces-of-holomorphic-functions-in-the-unit-ball","title":"Spaces of Holomorphic Functions in the Unit Ball","description":"\u003cp\u003eCan be used as a graduate text\u003c\/p\u003e\u003cp\u003eContains many exercises\u003c\/p\u003e\u003cp\u003eContains new results\u003c\/p\u003e","brand":"None","offers":[{"title":"Paperback","offer_id":46154081894577,"sku":"9781441919618","price":102.5,"currency_code":"CAD","in_stock":true},{"title":"Hardcover","offer_id":46154081927345,"sku":"9780387220369","price":124.5,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_363e48ba-d5eb-4e3d-9488-89f0122c1bca.jpg?v=1763516120"},{"product_id":"spherical-cr-geometry-and-dehn-surgery","title":"Spherical CR Geometry and Dehn Surgery","description":"\u003cp\u003eThis book proves an analogue of William Thurston's celebrated hyperbolic Dehn surgery theorem in the context of complex hyperbolic discrete groups, and then derives two main geometric consequences from it. The first is the construction of large numbers of closed real hyperbolic 3-manifolds which bound complex hyperbolic orbifolds--the only known examples of closed manifolds that simultaneously have these two kinds of geometric structures. The second is a complete understanding of the structure of complex hyperbolic reflection triangle groups in cases where the angle is small. In an accessible and straightforward manner, Richard Evan Schwartz also presents a large amount of useful information on complex hyperbolic geometry and discrete groups.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e Schwartz relies on elementary proofs and avoids quotations of preexisting technical material as much as possible. For this reason, this book will benefit graduate students seeking entry into this emerging area of research, as well as researchers in allied fields such as Kleinian groups and CR geometry.\u003c\/p\u003e","brand":"None","offers":[{"title":"Paperback","offer_id":46154088054961,"sku":"9780691128108","price":115.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_0fea46ce-4900-4e84-8dc5-a5da0ba51f6d.jpg?v=1763637784"},{"product_id":"pen-and-paper-user-interfaces","title":"Pen-and-Paper User Interfaces: Integrating Printed and Digital Documents","description":"\u003cp\u003eEven at the beginning of the 21st century, we are far from becoming paperless. Pen and paper is still the only truly ubiquitous information processing technology. Pen-and-paper user interfaces bridge the gap between paper and the digital world. Rather than replacing paper with electronic media, they seamlessly integrate both worlds in a hybrid user interface. Classical paper documents become interactive. This opens up a huge field of novel computer applications at our workplaces and in our homes.\u003c\/p\u003e\u003cp\u003eThis book provides readers with a broad and extensive overview of the field, so as to provide a full and up-to-date picture of pen-and-paper computing. It covers the underlying technologies, reviews the variety of modern interface concepts and discusses future directions of pen-and-paper computing. Based on the author's award-winning dissertation, the book also provides the first theoretical interaction model of pen-and-paper user interfaces and an integrated set of interaction techniques for knowledge workers. The model proposes a 'construction set' of core interactions that are helpful in designing solutions that address the diversity of pen-and-paper environments. The interaction techniques, concrete instantiations of the model, provide innovative support for working with printed and digital documents. They integrate well-established paper-based practices with concepts derived from hypertext and social media.\u003c\/p\u003e\u003cp\u003eResearchers, practitioners who are considering deploying pen-and-paper user interfaces in real-world projects, and interested readers from other research disciplines will find the book an invaluable reference source. Also, it provides an introduction to pen-and-paper computing for the academic curriculum.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003ci\u003eThe present book was overdue: a thorough, concise, and well-organized compendium of marriages between paper-based and electronic documents.\u003c\/i\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eMax Mühlhäuser, Technische UniversitätDarmstadt\u003c\/strong\u003e \u003c\/p\u003e\u003cp\u003e\u003ci\u003eEveryone interested in how to design for real-world activities would profit from reading this book.\u003c\/i\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eJames D. Hollan, University of California, San Diego\u003c\/strong\u003e \u003c\/p\u003e","brand":"None","offers":[{"title":"Paperback","offer_id":46154120462513,"sku":"9783642427336","price":160.95,"currency_code":"CAD","in_stock":true},{"title":"Hardcover","offer_id":46154120495281,"sku":"9783642202759","price":160.95,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_d53bd9d2-701b-46f3-9466-eba0aee23016.jpg?v=1763440576"},{"product_id":"the-geometry-and-dynamics-of-magnetic-monopoles","title":"The Geometry and Dynamics of Magnetic Monopoles","description":"\u003cp\u003eSystems governed by non-linear differential equations are of fundamental importance in all branches of science, but our understanding of them is still extremely limited. In this book a particular system, describing the interaction of magnetic monopoles, is investigated in detail. The use of new geometrical methods produces a reasonably clear picture of the dynamics for slowly moving monopoles. This picture clarifies the important notion of solitons, which has attracted much attention in recent years. The soliton idea bridges the gap between the concepts of \"fields\" and \"particles,\" and is here explored in a fully three-dimensional context. While the background and motivation for the work comes from physics, the presentation is mathematical.\u003cbr\u003e\u003cbr\u003eThis book is interdisciplinary and addresses concerns of theoretical physicists interested in elementary particles or general relativity and mathematicians working in analysis or geometry. The interaction between geometry and physics through non-linear partial differential equations is now at a very exciting stage, and the book is a contribution to this activity.\u003cbr\u003e\u003cbr\u003eOriginally published in 1988.\u003cbr\u003e\u003cbr\u003eThe \u003cb\u003ePrinceton Legacy Library\u003c\/b\u003e uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.\u003c\/p\u003e","brand":"None","offers":[{"title":"Hardcover","offer_id":46154086809777,"sku":"9780691633312","price":130.0,"currency_code":"CAD","in_stock":true},{"title":"Paperback","offer_id":46154086842545,"sku":"9780691604114","price":56.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_71f13a32-8529-4b7a-a328-b76daa0c5c1a.jpg?v=1764380983"},{"product_id":"several-complex-variables","title":"Several Complex Variables: Proceedings of the Mittag-Leffler Institute, 1987-1988","description":"\u003cp\u003eThere was a special year devoted to the topic of several complex variables at the Mittag-Leffler Institute in Stockholm, Sweden, and this volume contains the resulting survey papers and research papers. The work covers a broad spectrum of developments in this field. The contributors include H. Alexander; F. Almgren; E. Almar; M. Andersson; E. Bedford; J. Belanger; S. Bell; B. Berndtsson; U. Cegrell; C.H. Chang and H.P. Lee; J. Chaumat and A.M. Chollet; J. D'Angelo; J. P. Demailley; P. Dolbeault; A. Dor; F. Forstneric; B. Gaveau, M. Okada, and T. Okada; R. Greene and S. Krantz; A. Iordan; C. Laurent-Thiebaut and J. Leiterer; L. Lempert; I. Lieb and M. Range; L. Qi-King; P. Manne; A. Noell; M. Passare; J. Riihentaus; J. P. Rosay and W. Rudin; R. Saerens and W. Zame; A. Sergeev; N. Sibony; E.L. Stout; F. Treves; S. Webster; H. H. Wu; and A. Zeriahi.\u003c\/p\u003e","brand":"None","offers":[{"title":"Paperback","offer_id":46154084384945,"sku":"9780691601335","price":75.0,"currency_code":"CAD","in_stock":true},{"title":"Hardcover","offer_id":46154084417713,"sku":"9780691631073","price":179.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_a86b88c8-a6e6-42db-8245-c513e449de90.jpg?v=1763680584"},{"product_id":"dynamics-in-one-complex-variable","title":"Dynamics in One Complex Variable: Third Edition","description":"\u003cp\u003eThis volume studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. This subject is large and rapidly growing. These lectures are intended to introduce some key ideas in the field, and to form a basis for further study. The reader is assumed to be familiar with the rudiments of complex variable theory and of two-dimensional differential geometry, as well as some basic topics from topology. This third edition contains a number of minor additions and improvements: A historical survey has been added, the definition of Lattés map has been made more inclusive, and the écalle-Voronin theory of parabolic points is described. The résidu itératif is studied, and the material on two complex variables has been expanded. Recent results on effective computability have been added, and the references have been expanded and updated.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e  Written in his usual brilliant style, the author makes difficult mathematics look easy. This book is a very accessible source for much of what has been accomplished in the field.\u003c\/p\u003e","brand":"None","offers":[{"title":"Paperback","offer_id":46154087334065,"sku":"9780691124889","price":149.0,"currency_code":"CAD","in_stock":true},{"title":"Kobo eBook","offer_id":46154087366833,"sku":"ed5aeec2-b99d-42f0-9e72-2c888634b823","price":119.49,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_85c3ac62-6e49-4bba-873e-cbc6cb81306b.jpg?v=1763635925"},{"product_id":"probability-and-measure","title":"Probability and Measure","description":"\u003cp\u003e\u003cb\u003ePraise for the \u003ci\u003eThird Edition\u003c\/i\u003e\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e\"It is, as far as I'm concerned, among the best books in math ever written....if you are a mathematician and want to have the top reference in probability, this is it.\" (Amazon.com, January 2006)\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eA complete and comprehensive classic in probability and measure theory\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003ci\u003eProbability and Measure, Anniversary Edition\u003c\/i\u003e by Patrick Billingsley celebrates the achievements and advancements that have made this book a classic in its field for the past 35 years. Now re-issued in a new style and format, but with the reliable content that the third edition was revered for, this \u003ci\u003eAnniversary Edition\u003c\/i\u003e builds on its strong foundation of measure theory and probability with Billingsley's unique writing style. In recognition of 35 years of publication, impacting tens of thousands of readers, this Anniversary Edition has been completely redesigned in a new, open and user-friendly way in order to appeal to university-level students.\u003c\/p\u003e \u003cp\u003eThis book adds a new foreward by Steve Lally of the Statistics Department at The University of Chicago in order to underscore the many years of successful publication and world-wide popularity and emphasize the educational value of this book. The \u003ci\u003eAnniversary Edition\u003c\/i\u003e contains features including:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eAn improved treatment of Brownian motion\u003c\/li\u003e \u003cli\u003eReplacement of queuing theory with ergodic theory\u003c\/li\u003e \u003cli\u003eTheory and applications used to illustrate real-life situations\u003c\/li\u003e \u003cli\u003eOver 300 problems with corresponding, intensive notes and solutions\u003c\/li\u003e \u003cli\u003eUpdated bibliography\u003c\/li\u003e \u003cli\u003eAn extensive supplement of additional notes on the problems and chapter commentaries\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003ePatrick Billingsley was a first-class, world-renowned authority in probability and measure theory at a leading U.S. institution of higher education. He continued to be an influential probability theorist until his unfortunate death in 2011. Billingsley earned his Bachelor's Degree in Engineering from the U.S. Naval Academy where he served as an officer. he went on to receive his Master's Degree and doctorate in Mathematics from Princeton University.Among his many professional awards was the Mathematical Association of America's Lester R. Ford Award for mathematical exposition. His achievements through his long and esteemed career have solidified Patrick Billingsley's place as a leading authority in the field and been a large reason for his books being regarded as classics.\u003c\/p\u003e \u003cp\u003eThis Anniversary Edition of \u003ci\u003eProbability and Measure\u003c\/i\u003e offers advanced students, scientists, and engineers an integrated introduction to measure theory and probability. Like the previous editions, this \u003ci\u003eAnniversary Edition\u003c\/i\u003e is a key resource for students of mathematics, statistics, economics, and a wide variety of disciplines that require a solid understanding of probability theory.\u003c\/p\u003e","brand":"None","offers":[{"title":"Hardcover","offer_id":46154205855921,"sku":"9781118122372","price":239.95,"currency_code":"CAD","in_stock":true},{"title":"Kobo eBook","offer_id":46154205888689,"sku":"2500dcc1-bce5-4952-be8e-bc7b8958d1bc","price":191.99,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_d024e23b-69e5-4f4c-ae5f-7829ffadd4c6.jpg?v=1763678681"},{"product_id":"a-short-course-on-spectral-theory","title":"A Short Course on Spectral Theory","description":"This book presents the basic tools of modern analysis within the context of what might be called the fundamental problem of operator theory: to c- culate spectra of speci?c operators on in?nite-dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more re?ned methods that allow one to approach problems that go well beyond the computation of spectra; the mathematical foundations of quantum physics, noncommutative K-theory, and the classi?cation of sim- ? ple C -algebras being three areas of current research activity that require mastery of the material presented here. The notion of spectrum of an operator is based on the more abstract notion of the spectrum of an element of a complex Banach algebra. - ter working out these fundamentals we turn to more concrete problems of computing spectra of operators of various types. For normal operators, this amounts to a treatment of the spectral theorem. Integral operators require 2 the development of the Riesz theory of compact operators and the ideal L of Hilbert-Schmidt operators. Toeplitz operators require several important tools; in order to calculate the spectra of Toeplitz operators with continuous symbol one needs to know the theory of Fredholm operators and index, the ? structure of the Toeplitz C -algebra and its connection with the topology of curves, and the index theorem for continuous symbols.","brand":"None","offers":[{"title":"Paperback","offer_id":46155246731441,"sku":"9781441929433","price":144.5,"currency_code":"CAD","in_stock":false},{"title":"Hardcover","offer_id":46155246764209,"sku":"9780387953007","price":261.5,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_5e075a7c-db2b-4d55-b7cc-1f00b9e12475.jpg?v=1763514808"},{"product_id":"measure-theory","title":"Measure Theory","description":"This book was planned originally not as a work to be published, but as an excuse to buy a computer, incidentally to give me a chance to organize my own ideas \u003cn what=\"\" measure=\"\" theory=\"\" every=\"\" would-be=\"\" analyst=\"\" should=\"\" learn and=\"\" to=\"\" detail=\"\" my=\"\" approach=\"\" the=\"\" subject.=\"\" when=\"\" it=\"\" turned=\"\" out=\"\" that=\"\" springer-verlag=\"\" thought=\"\" point=\"\" of=\"\" view=\"\" in=\"\" book=\"\" had=\"\" general=\"\" interest=\"\" offered=\"\" publish=\"\" i=\"\" was=\"\" forced=\"\" try=\"\" write=\"\" more=\"\" clearly=\"\" search=\"\" for=\"\" errors.=\"\" productive.=\"\" readers=\"\" will=\"\" observe=\"\" stress=\"\" on=\"\" following=\"\" points.=\"\" application=\"\" pseudometric=\"\" spaces.=\"\" pseudo=\"\" metric rather=\"\" than=\"\" spaces are=\"\" applied=\"\" obviate=\"\" artificial=\"\" replacement=\"\" functions=\"\" by=\"\" equivalence=\"\" classes a=\"\" makes=\"\" use=\"\" everywhere either=\"\" improper=\"\" or=\"\" artificial.=\"\" words=\"\" set=\"\" which=\"\" function=\"\" has=\"\" values=\"\" at=\"\" least=\"\" e can=\"\" be=\"\" taken=\"\" literally=\"\" this=\"\" book.=\"\" space=\"\" properties=\"\" many=\"\" contexts.=\"\" example outer=\"\" measures=\"\" used=\"\" pseudometrize=\"\" sets=\"\" extension=\"\" finite=\"\" from=\"\" an=\"\" algebra=\"\" is=\"\" thereby=\"\" reduced=\"\" finding=\"\" closure=\"\" subset=\"\" space.=\"\"\u003e\u003c\/n\u003e","brand":"None","offers":[{"title":"Paperback","offer_id":46154871636145,"sku":"9781461269311","price":87.95,"currency_code":"CAD","in_stock":true},{"title":"Hardcover","offer_id":46154871668913,"sku":"9780387940557","price":104.2,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_b4c585b5-dfd9-4e53-8a61-0730d2ad86f7.jpg?v=1763514373"},{"product_id":"continuous-geometry","title":"Continuous Geometry","description":"\u003cp\u003eIn his work on rings of operators in Hilbert space, John von Neumann discovered a new mathematical structure that resembled the lattice system \u003ci\u003eLn\u003c\/i\u003e. In characterizing its properties, von Neumann founded the field of continuous geometry.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e This book, based on von Neumann's lecture notes, begins with the development of the axioms of continuous geometry, dimension theory, and--for the irreducible case--the function D(a). The properties of regular rings are then discussed, and a variety of results are presented for lattices that are continuous geometries, for which irreducibility is not assumed. For students and researchers interested in ring theory or projective geometries, this book is required reading.\u003c\/p\u003e","brand":"None","offers":[{"title":"Paperback","offer_id":46155294245041,"sku":"9780691058931","price":179.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_4d545709-900d-4511-b338-adf62f79c70e.jpg?v=1763635926"},{"product_id":"role-of-mathematics-in-the-rise-of-science","title":"Role of Mathematics in the Rise of Science","description":"\u003cp\u003eThe central theme of these essays is the nature and role of mathematics, its growth and spread, and its involvement with ever-wider areas of knowledge. The author attempts to determine the decisive and creative aspects of the abstractness\" of mathematics which have made it the dominant intellectual force that it is. He frequently confronts the mathematics and physics of today with the mathematics and physics of the Greeks, which, however renowned, was not yet capable of this abstractness.\u003cbr\u003e\u003cbr\u003eOriginally published in 1966.\u003cbr\u003e\u003cbr\u003eThe \u003cb\u003ePrinceton Legacy Library\u003c\/b\u003e uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.\u003c\/p\u003e","brand":"None","offers":[{"title":"Hardcover","offer_id":46155357225137,"sku":"9780691642505","price":311.0,"currency_code":"CAD","in_stock":true},{"title":"Paperback","offer_id":46155357257905,"sku":"9780691614939","price":129.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_c0d8d7e3-ae29-46aa-b981-590fa5ca9d02.jpg?v=1763717748"},{"product_id":"kunihiko-kodaira-volume-ii","title":"Kunihiko Kodaira, Volume II: Collected Works","description":"\u003cp\u003eKunihiko Kodaira's influence in mathematics has been fundamental and international, and his efforts have helped lay the foundations of modern complex analysis. These three volumes contain Kodaira's written contributions, published in a large number of journals and books between 1937 and 1971. The volumes cover chronologically the major periods of Kodaira's mathematical concentration and reflect his collaboration with other prominent theoreticians.\u003cbr\u003e\u003cbr\u003e It was in the second period that Kodaira did his fundamental work on harmonic integrals. The third period is chiefly characterized by the application of harmonic integrals and of the theory of sheaves to algebraic geometry and to complex manifolds.\u003cbr\u003e\u003cbr\u003eOriginally published in 1975.\u003cbr\u003e\u003cbr\u003eThe \u003cb\u003ePrinceton Legacy Library\u003c\/b\u003e uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.\u003c\/p\u003e","brand":"None","offers":[{"title":"Hardcover","offer_id":46155443175601,"sku":"9780691644943","price":399.0,"currency_code":"CAD","in_stock":true},{"title":"Paperback","offer_id":46155443208369,"sku":"9780691617855","price":162.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_185e91da-fc90-403c-b7fa-c029f1cced9f.jpg?v=1764387989"},{"product_id":"measures-and-men","title":"Measures and Men","description":"\u003cp\u003eMeasures and Men, considers times and societies in which weighing and measuring were meaningful parts of everyday life and weapons in class struggles.\u003cbr\u003e\u003cbr\u003eOriginally published in 1986.\u003cbr\u003e\u003cbr\u003eThe \u003cb\u003ePrinceton Legacy Library\u003c\/b\u003e uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.\u003c\/p\u003e","brand":"None","offers":[{"title":"Hardcover","offer_id":46155346051249,"sku":"9780691639079","price":250.0,"currency_code":"CAD","in_stock":true},{"title":"Paperback","offer_id":46155346084017,"sku":"9780691611044","price":98.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_6fb752f8-5eeb-4bde-ab86-d1cc04231ef3.jpg?v=1763714293"},{"product_id":"complex-algebraic-surfaces","title":"Complex Algebraic Surfaces","description":"The classification of algebraic surfaces is an intricate and fascinating branch of mathematics, developed over more than a century and still an active area of research today. In this book, Professor Beauville gives a lucid and concise account of the subject, expressed simply in the language of modern topology and sheaf theory, and accessible to any budding geometer. A chapter on preliminary material ensures that this volume is self-contained while the exercises succeed both in giving the flavor of the classical subject, and in equipping the reader with the techniques needed for research. The book is aimed at graduate students in geometry and topology.","brand":"None","offers":[{"title":"Hardcover","offer_id":46155168874673,"sku":"9780521495103","price":221.95,"currency_code":"CAD","in_stock":true},{"title":"Paperback","offer_id":46155168907441,"sku":"9780521498425","price":69.95,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_0b1406a9-4fb4-4da1-8fae-6ebb8cd28790.jpg?v=1763637342"},{"product_id":"surveys-on-surgery-theory-volume-1","title":"Surveys on Surgery Theory, Volume 1: Papers Dedicated to C. T. C. Wall","description":"\u003cp\u003eSurgery theory, the basis for the classification theory of manifolds, is now about forty years old. There have been some extraordinary accomplishments in that time, which have led to enormously varied interactions with algebra, analysis, and geometry. Workers in many of these areas have often lamented the lack of a single source that surveys surgery theory and its applications. Indeed, no one person could write such a survey.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e The sixtieth birthday of C. T. C. Wall, one of the leaders of the founding generation of surgery theory, provided an opportunity to rectify the situation and produce a comprehensive book on the subject. Experts have written state-of-the-art reports that will be of broad interest to all those interested in topology, not only graduate students and mathematicians, but mathematical physicists as well.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e Contributors include J. Milnor, S. Novikov, W. Browder, T. Lance, E. Brown, M. Kreck, J. Klein, M. Davis, J. Davis, I. Hambleton, L. Taylor, C. Stark, E. Pedersen, W. Mio, J. Levine, K. Orr, J. Roe, J. Milgram, and C. Thomas.\u003c\/p\u003e","brand":"None","offers":[{"title":"Paperback","offer_id":46155149082801,"sku":"9780691049380","price":185.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_928d8882-6ae3-4732-b8eb-b8bca2fc6dce.jpg?v=1763637784"},{"product_id":"stability-in-nonlinear-control-systems","title":"Stability in Nonlinear Control Systems","description":"\u003cp\u003eThe author, a Nobel prize-winner, has added to the American translation several chapters not in the original.\u003cbr\u003e\u003cbr\u003eOriginally published in 1961.\u003cbr\u003e\u003cbr\u003eThe \u003cb\u003ePrinceton Legacy Library\u003c\/b\u003e uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.\u003c\/p\u003e","brand":"None","offers":[{"title":"Hardcover","offer_id":46155387863217,"sku":"9780691652108","price":264.0,"currency_code":"CAD","in_stock":true},{"title":"Paperback","offer_id":46155387895985,"sku":"9780691625690","price":98.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_8a5d235b-42e0-4d0e-9fca-50ff9c8a1f52.jpg?v=1764393168"}],"url":"https:\/\/www.indigo.ca\/collections\/math-physics-mathematics.oembed","provider":"Indigo","version":"1.0","type":"link"}