Partial Differential Equations/Introduction

The theory of partial differential equations is a tour de force through undergraduate analysis and serves well to connect several topics as methods for the solution of a common problem. There are several lines of attack towards PDEs, and we aim to present some of the most useful ones. Some very important classical partial differential equations have their own chapter, for sometimes the solution techniques geared towards them do not generalize to any other equation, at least not verbatim.