Principles of Partial Differential Equations 2010th Edition

From the reviews:

“This book is intended to give the reader an opportunity to master solving problems in partial differential equations. … This book has been written specifically to satisfy the demand of a wide audience who needs knowledge of how to solve PDE problems … . The book under review is mainly addressed to those in higher-level undergraduate courses and for self-study for both graduate and higher-level undergraduate students.”­­­ (Vicenţiu Rădulescu, Mathematical Reviews, Issue 2010 k)

This concise book covers the classical tools of PDE theory used in today's science and engineering: characteristics, the wave propagation, the Fourier method, distributions, Sobolev spaces, fundamental solutions, and Green's functions. The approach is problem-oriented, giving the reader an opportunity to master solution techniques. The theoretical part is rigorous and with important details presented with care. Hints are provided to help the reader restore the arguments to their full rigor. Many examples from physics are intended to keep the book intuitive and to illustrate the applied nature of the subject. The book is useful for a higher-level undergraduate course and for self-study.