INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS
FROM FOURIER SERIES TO BOUNDARY-VALUE PROBLEMS

This exceptionally well-written and well-organized text is the outgrowth of a course given every year for 45 years at the Chalmers University of Technology, Goteborg, Sweden. The object of the course was to give students a basic knowledge of Fourier analysis and certain of its applications. The text is self-contained with respect to such analysis; however, in areas where the author relies on results from branches of mathematics outside the scope of this book, references to widely used books are given.

Table of Contents:

1. Fourier series

2. Orthogonal systems

3. Orthogonal polynomials

4. Fourier transforms

5. Laplace transforms

6. Bessel functions

7. Partial differential equations of first order

8. Partial differential equations of second order

Answers to exercises; Bibliography; Conventions; Symbols; Index

Written on an advanced level, the book is aimed at advanced undergraduates and graduate students with a background in calculus, linear algebra, ordinary differential equations, and complex analysis. Over 260 carefully chosen exercises, with answers, encompass both routing and more challenging problems to help students test their grasp of the material.