Fourier Analysis and Its Applications

by Gerald B. Folland

This book presents the theory and applications of Fourier series and integrals, eigenfunction expansions, and related topics, on a level suitable for advanced undergraduates. It includes material on Bessel functions, orthogonal polynomials, and Laplace transforms, and it concludes with chapters on generalized functions and Green's functions for ordinary and partial differential equations. The book deals almost exclusively with aspects of these subjects that are useful in physics and engineering, and includes a wide variety of applications. On the theoretical side, it uses ideas from modern analysis to develop the concepts and reasoning behind the techniques without getting bogged down in the technicalities of rigorous proofs.

Genres: Mathematics, Science

433 pages, Hardcover

First published January 1, 1992

Reviews

[Emmanuel Gil Torres · Rating 4 out of 5]

Very good book for fourier analysis and its applications, specifically to solving boundary value problems. Everything in the text builds on itself and becomes more general as you proceed.

[bread19 · Rating 4 out of 5]

a good book but was forced upon me so i have to deduct a star