Colton D. Partial Differential Equations: An Introduction

New York, USA: Dover Publication, Inc., 1988. — 320 p. — ISBN: 0394358279, 0486438341.Intended for a college senior or first-year graduate-level course in partial differential equations, this text offers students in mathematics, engineering, and the applied sciences a solid foundation for advanced studies in mathematics. Classical topics presented in a modern context include coverage of integral equations and basic scattering theory. This complete and accessible treatment includes a variety of examples of inverse problems arising from improperly posed applications. Exercises at the ends of chapters, many with answers, offer a clear progression in developing an understanding of this essential area of mathematics.The wave eqution
The heat eqution
Laplace’s eqution
Potential theory and fredholm integral eqution
Scatttering theory