Introduction to Partial Differential Equations with Applications

This third edition, from a new publisher, has a number of attractive new features: More worked examples, more than 200 in all, more exercises with answers, more on modern developments such as asymptotic methods, correction of typographical errors,--- and loving care from the editors at Waveland Press. The result is a much nicer appearance, and high quality pedagogical improvements.-- I have taught from an earlier edition of this very nice book. Both the students and I have been happy with it. It is an important and useful topic in math [both pure and applied] , and it is especially relevant and central to the service courses offered by most math departments. Sample of topics: The Green function method, the equations of heat, and of waves, and the PDEs of Laplace and Poisson. Orthogonal functions and Fourier methods. The method of stationary phase, and the classical Sturm Liouvile problems.-- Pinsky's book is the best text for teaching these classical tools. A nice feature of the new edition is an added section on the use of Mathematica in the study of PDEs. When students need to look up one of the classical formulas in the theory of boundary value problems, I often refer to Pinsky's book which has always been on target.