Fourier Series: Texts and Readings in Mathematics

Book Details:

• Author: Rajendra Bhatia

• Publisher: Hindustan Book Agency

• Edition: 2nd edition

• Binding: Paperback

• Number of Pages: 184

• ISBN: 9788185931340

• Release Date: 01-01-2003

• Languages: English

• Package Dimensions: 8.5 x 5.5 x 0.5 inches

About the Book:

Fourier Series by Rajendra Bhatia provides a concise and accessible introduction to the fascinating world of Fourier analysis. Designed for students of analysis, mathematical methods, and mathematical physics, this book serves as both a learning tool and a valuable supplement to undergraduate courses in mathematical analysis.

The book begins with a captivating historical overview, tracing the development of Fourier series over three centuries. Bhatia carefully explains how the subject evolved from a practical problem—such as the conduction of heat—into a sophisticated mathematical theory that incorporates concepts like sets, functions, infinity, and convergence. This progression helps readers understand the application of Fourier theory in real-world contexts as well as its abstract foundations.

The theory is rigorously developed, with numerous examples, exercises, and advanced topics suitable for graduate students. Bhatia's approach allows readers to grasp both the practical and theoretical aspects of Fourier analysis. Exercises of varying difficulty levels throughout the text test the reader’s understanding and provide opportunities for further exploration.

This book is not only ideal for those learning Fourier analysis for the first time but also serves as an excellent resource for anyone interested in diving deeper into the theory and its applications in various scientific disciplines.