Ebook: A first course in partial differential equations with complex variables and transform methods

This book is an attempt to present the materials usually covered in such courses in a framework where the general properties of partial differential equations such as characteristics, domains of dependence, and maximum principles can be clearly seen. It is intended for a one-year course in partial differential equations, including the elementary theory of complex variables. (The first seven chapters, or the first six and the last chapter form a one-semester course, and the first five chapters a one-quarter course.)