Fourier Series, Transforms, and Boundary Value Problems (Dover Books on Mathematics)

Book Details:

• Author: J. Ray Hanna

• Publisher: Dover

• Edition: 2nd

• Binding: Paperback

• Format: Illustrated

• Number of Pages: 368

• ISBN: 9780486466736

• Release Date: 29-08-2008

• Languages: English

• Package Dimensions: 9.1 x 6.0 x 0.8 inches

About the Book:

"Fourier and Transform Methods in Physics" by J. Ray Hanna offers an engaging and accessible introduction to Fourier and transform methods, with a particular emphasis on practical techniques rather than theoretical abstractions. The book is designed to teach students the essential principles of the Fourier method while also providing detailed considerations for modeling and solving real-world physical problems.

The text features clear, step-by-step outlines that guide students through solving problems, with many exercises included in the book along with answers for self-assessment. The primary focus is on the application of Fourier methods to physical problems, which are presented in the form of boundary value problems. The author addresses topics such as separation of variables, Sturm-Liouville theory, superposition, and boundary conditions in a logical and systematic sequence.

Advanced topics include multidimensional Fourier series solutions and Fourier integral solutions on unbounded domains. Additionally, special functions like Bessel and Legendre functions are introduced, specifically to tackle the cylindrical and spherical geometries that frequently appear in boundary value problems.

This volume is an excellent resource for students and professionals in mathematics, physical sciences, and engineering who are looking to develop a deeper understanding of Fourier methods and their practical applications. It is an ideal study guide for both learners and those looking to refine their expertise in solving physical problems using Fourier and transform methods.