FOURIER TRANSFORMS

Book Details:

• Author: Ian N. Sneddon

• Publisher: Dover

• Edition: New Edition

• Binding: Paperback

• Number of Pages: 542

• ISBN: 9780486685229

• Release Date: 19-08-2010

• Languages: English

• Package Dimensions: 8.5 x 5.5 x 1.2 inches

About the Book:

"Fourier Transforms" by Ian N. Sneddon offers a comprehensive introduction to the theory of Fourier transforms and its applications, particularly in the context of boundary value problems in physics and engineering. The book is structured with a practical approach in mind, focusing on applications over abstract theory, making it ideal for students and research workers.

The first three chapters provide an accessible treatment of the fundamental principles behind Fourier transforms, while simplifying the presentation to ensure accessibility for undergraduates starting their journey into theoretical physics. While the mathematical foundations are not presented in the most general form, they are sufficiently broad to cover the vast majority of functions encountered in applied mathematics problems.

The remaining seven chapters dive deeper into the application of Fourier transforms to solve boundary and initial value problems, specifically in engineering and physics. Special care has been taken to introduce additional transforms, such as the Mellin, Laplace, and Hankel transforms, to further broaden the reader’s toolkit.

In addition to providing a strong physical and mathematical foundation, the book addresses important topics such as finite transforms, dual integral equations, and the Wiener-Hopf procedure, along with detailed discussions of the Dirac delta function.

With a clear focus on practical application and relevance to real-world problems, this book is a vital resource for anyone seeking to master the application of Fourier transforms in the fields of physics and engineering.