Partial differential equations

Abstract

With an emphasis on teaching and learning, this book is for an advanced undergraduate course on partial differential equations or a beginning graduate course on partial differential equations. Divided into 13 chapters, this textbook covers most of the important topics found in books on partial differential equations, using most of the time the same approach.

This book contains material on partial differential equations usually taught at the undergraduate level for science and engineering students. The reason for including this material is that many mathematics students do not have the chance to study partial differential equations at the undergraduate level. The sections covering the undergraduate material are accessible to readers with only a calculus background. The presentation in these sections is usually more formal and therefore appropriate for introducing partial differential equations for science and engineering students. This book is accessible to students with a minimal introduction to measure and integration, and functional analysis.