Cotton D. Partial differential equations: an introduction

New York: Dover Publications, 2012. — 661 p.I have designed this book as a course for senior year or first-year graduate students in mathematics and mathematically-oriented beginning graduate students in engineering and the applied sciences. Its aim is to fill the gap between elementary textbooks that deal almost exclusively with separation of variables and integral transform techniques and those more advanced books which assume a mathematical sophistication at the level of a second- or third-year graduate student. In particular, this book is accessible to students having only a knowledge of advanced calculus and ordinary differential equations and will provide a glimpse of the beauty of the theory of partial differential equations at an earlier stage in their mathematical career than is normally the case.Title Page
Copyright PageAcknowledgementsThe Wave Equation
The Heat Equation
Laplace's Equation
Potential Theory and Fredholm Integral Equations
Scattering Theory