Published by McGraw-Hill since its first edition in 1941, Fourier Series and Boundary Value Problems is an introduction to Fourier series and their applications to boundary value problems in partial differential equations of engineering and physics. This 8th edition, written by James Ward Brown, primarily caters to students with a background in ordinary differential equations and advanced calculus.

The book aims to achieve two main objectives: introducing the concept of orthogonal sets of functions and representations of arbitrary functions in series of such functions; and providing a clear presentation of the classical method of separation of variables used in solving boundary value problems. Care has been taken to minimize distractions when determining solutions of eigenvalue problems, making it easier for students to focus on key concepts.

Topics such as Gibbs’ Phenomenon and the Poisson integral formula are now presented in their own sections, enhancing the overall learning experience. With 416 pages of detailed content, this text remains a cornerstone resource for understanding Fourier series and boundary value problems in the context of engineering and physics.