Introduction to Partial Differential Equation

This modern take on partial differential equations does not require knowledge beyond vector calculus and linear algebra.

Overview The subject of partial differential equations has an unchanging core of material but is constantly expanding and evolving. The core consists of solution methods, mainly separation of variables, for boundary value problems with constant coeffi­ cients in geometrically simple domains. Too often an introductory course focuses exclusively on these core problems and techniques and leaves the student with the impression that there is no more to the subject. Questions of existence, uniqueness, and well-posedness are ignored.

A rigorous, yet accessible, introduction to partial differential equations—updated in a valuable new edition