Principles of Fourier Analysis (Textbooks in Mathematics)

Howell, Kenneth B.

ISBN 10: 149873409X / ISBN 13: 9781498734097

Published by CRC Press, 2016

Brand new book. Fast ship. Please provide full street address as we are not able to ship to P O box address. Seller Inventory # SHAK167578

Synopsis:

Fourier analysis is one of the most useful and widely employed sets of tools for the engineer, the scientist, and the applied mathematician. As such, students and practitioners in these disciplines need a practical and mathematically solid introduction to its principles. They need straightforward verifications of its results and formulas, and they need clear indications of the limitations of those results and formulas. Principles of Fourier Analysis furnishes all this and more. It provides a comprehensive overview of the mathematical theory of Fourier analysis, including the development of Fourier series, "classical" Fourier transforms, generalized Fourier transforms and analysis, and the discrete theory. Much of the author's development is strikingly different from typical presentations. His approach to defining the classical Fourier transform results in a much cleaner, more coherent theory that leads naturally to a starting point for the generalized theory. He also introduces a new generalized theory based on the use of Gaussian test functions that yields an even more general -yet simpler -theory than usually presented. Principles of Fourier Analysis stimulates the appreciation and understanding of the fundamental concepts and serves both beginning students who have seen little or no Fourier analysis as well as the more advanced students who need a deeper understanding. Insightful, non-rigorous derivations motivate much of the material, and thought-provoking examples illustrate what can go wrong when formulas are misused. With clear, engaging exposition, readers develop the ability to intelligently handle the more sophisticated mathematics that Fourier analysis ultimately requires.

About the Author:

Kenneth Howell is an Associate Professor Emeritus in the Department of Mathematical Sciences of the University of Alabama in Huntsville. He holds a Ph.D. from Indiana University and earned bachelor degrees in both mathematics and physics. Dr. Howell has done extensive work in both academia and in industry. He is also the author of Ordinary Differential Equation: An Introduction to the Fundamentals, also by Chapman & Hall/CRC Press.

Bibliographic Details

Title: Principles of Fourier Analysis (Textbooks in...
Publisher: CRC Press
Publication Date: 2016
Binding: Hardcover
Condition: New
Edition: 2nd Edition