Fourier Series and Boundary Value Problems

by James Ward Brown, Ruel Vance Churchill

Published by McGraw-Hill since its first edition in 1941, this classic text is an introduction to Fourier series and their applications to boundary value problems in partial differential equations of engineering and physics. It will primarily be used by students with a background in ordinary differential equations and advanced calculus. There are two main objectives of this text. The first is to introduce the concept of orthogonal sets of functions and representations of arbitrary functions in series of functions from such sets. The second is a clear presentation of the classical method of separation of variables used in solving boundary value problems with the aid of those representations.

The book is a thorough revision of the seventh edition and much care is taken to give the student fewer distractions when determining solutions of eigenvalue problems, and other topics have been presented in their own sections like Gibbs' Phenomenon and the Poisson integral formula.

Genres: Mathematics, Textbooks, Nonfiction, Science, Reference

416 pages, Hardcover

First published December 1, 1963

Reviews

[Dale Baker]

best book ever??? maybe...do you do applied math for a livin' like me part of the time...this is a classic text that can help you...no matter what your level of mathematical sophistication...I love it and have taught from it...I had an amazing teacher(s) that taught from it...Thank you Dr. Nemat Nassar and the late great Si Rand...who taught me so much applied math and physics in grad school..scholar and all round great mench...RIP ...i miss talking to you quietly...ok back to the book...if you need a primer on pde's this it...you can prove orthoganality and the uniqueness of solution...thank you dr. ghassan kassab for helping me with this (one of dr fung's academic sons....one of many that I am grateful too...

[Mi Lia · Rating 5 out of 5]

Really good introductory book in the theory of partial differential equations and the most important methods of solving them (pretty much: seperation of variables). Ideal for self-study.