Invitation to Partial Differential Equations

the long version

This book is based on notes from a beginning graduate course on partial differential equations. Prerequisites for using the book are a solid undergraduate course in real analysis. There are more than 100 exercises in the book. Some of them are just exercises, whereas others, even though they may require new ideas to solve them, provide additional important information about the subject. It is a great pleasure to see this book--written by a great master of the subject--finally in print. This treatment of a core part of mathematics and its applications offers the student both a solid foundation.