“I enjoyed perusing O’Neil’s book. A beginner in the field of PDEs will learn quite a number of juicy facts concerning the flow of heat and the transmission of waves. While a next step will undoubtedly involve more rigor in the use of analytic tools, this first course will catch the attention of those with a curiosity for studying physical processes using differential equations.”  (Mathematical Association of America, 15 February 2015)

“This book is one of the textbooks that provide an introduction to basic methods and applications of partial differential equations for students of mathematics, physics and engineering.”  (Zentralblatt MATH, 1 October 2014)