Introduction to Partial Differential Equations with MATLAB

"This is an excellent textbook … first, the book can be used by a person who has no interest in MATLAB at all, and, second, this book deserves to be considered by—in fact, should be at the top of the list of—any professor looking for an undergraduate text in PDEs. … there are several reasons why I view this book as being in the upper echelon of undergraduate PDE textbooks. One is the extremely high quality of exposition. Coleman writes clearly and cleanly, with a conversational tone and a high regard for motivation. He clearly has a great deal of experience teaching this subject and has learned what points are likely to cause confusion and therefore need expanded discussion. The author also employs the nice pedagogical feature of page-long ‘preludes’ to each chapter, which not only summarize what the chapter will cover and how it fits into the general theme of things, but also typically provide some brief historical commentary as well. In general, the overall effect of this book is like listening to a discussion by a good professor in office hours. … very highly recommended. I don’t know when or if I will ever teach an undergraduate PDE course, but if I ever do, this book will certainly be on my short list of possible texts."—Mark Hunacek, MAA Reviews, September 2013Praise for the First Edition:"The strongest aspect of this text is the very large number of worked boundary value problem examples." —SIAM "This is a useful introductory text on PDEs for advanced undergraduate / beginning graduate students of applied mathematics, physics, or engineering sciences. … a nice introductory text which certainly is of great use in preparing and delivering courses." —Zentralblatt MATH "Readers new to the subject will find Coleman’s appendix cataloguing important partial differential equations in their natural surroundings quite useful. … Coleman’s more explicit, extended style would probably allow its use as an advanced graduate or reference text for UK engineers or physicists." —Times Higher Education "The book presents very useful material and can be used as a basic text for self-study of PDEs." —EMS Newsletter"Each chapter is introduced by a ‘prelude’ that describes its content and gives historical background. Each section concludes with a set of exercises, many of which are marked MATLAB." —CMS Notes

• Introduction. The Big Three PDEs. Fourier Series. Solving the Big Three PDEs. Characteristics. Integral Transforms. Bessel Functions and Orthogonal Polynomials. Sturm-Liouville Theory and Generalized Fourier Series. PDEs in Higher Dimensions. Nonhomogeneous Problems and Green's Functions. Numerical Methods. Appendices. References. Index.