- Used Books
- Staff Picks
- Gifts & Gift Cards
- Sell Books
- Stores & Events
- Let's Talk Books
Special Offers see all
More at Powell's
Recently Viewed clear list
Currently out of stock.
available for shipping or prepaid pickup only
Other titles in the Pure and Applied Mathematics: A Wiley-Interscience Series of series:
Fourier Analysisby Eric Stade
Synopses & Reviews
A reader-friendly, systematic introduction to Fourier analysis
Rich in both theory and application, Fourier Analysis presents a unique and thorough approach to a key topic in advanced calculus. This pioneering resource tells the full story of Fourier analysis, including its history and its impact on the development of modern mathematical analysis, and also discusses essential concepts and today's applications.
Written at a rigorous level, yet in an engaging style that does not dilute the material, Fourier Analysis brings two profound aspects of the discipline to the forefront: the wealth of applications of Fourier analysis in the natural sciences and the enormous impact Fourier analysis has had on the development of mathematics as a whole. Systematic and comprehensive, the book:
Based upon the principle that theory and practice are fundamentally linked, Fourier Analysis is the ideal text and reference for students in mathematics, engineering, and physics, as well as scientists and technicians in a broad range of disciplines who use Fourier analysis in real-world situations.
Book News Annotation:
Writing primarily for advanced undergraduate or graduate students in mathematics, engineering and physics or for "real life" users of Fourier analysis, Stade (mathematics, U. of Colorado, Boulder) assumes readers have background in calculus in one and several variables. Stade gives weight both to applications in the natural sciences and to the impact Fourier analysis has had on mathematics. He uses a systematic, cause-and-effect approach to his topics, beginning with Fourier coefficients and series, then applying Fourier series to boundary value problems. He then proceeds to the vector space, Sturm-Liouville problems, convolution and the delta function ("a splat and a spike"), Fourier transforms and integrals, local frequency analysis and wavelets. He includes special topics and applications such as the discrete Fourier transform, Fraunhofer diffraction and Fourier optics. Stade includes exercises with each chapter.
Annotation ©2004 Book News, Inc., Portland, OR (booknews.com)
ERIC STADE, PhD, is Professor of Mathematics at the University of Colorado at Boulder. He received his doctorate in 1988 from Columbia University and has authored a number of refereed journal articles in number theory and physics. He is a member of the American Association of University Professors and the Mathematical Association of America.
This pioneering resource tells the full story of Fourier analysis-its history, its impact on the development of modern mathematical analysis, and today's applications. The topics are presented using a cause-and-effect approach, illustrating where ideas originated and what necessitated them. Rich in both theory and application, Fourier Analysis is an unique, thorough approach to this key topic in advanced calculus.
About the Author
"Eric Stade has done a great job of writing a textbook that gets across the beauty and utility of this subject." (CMS Notes, September 2005)
"The author dies a great job of incorporating his sense of humor throughout this book...appealing to engineers and both applied and pure mathematicians…" (MAA Reviews, January 20, 2006)
"Arguments are rigorous...and treatments are thorough...a very nice book for the intended audience." (CHOICE, November 2005)
Table of Contents
1. Fourier Coefficients and Fourier Series.
2. Fourier Series and Boundary Value Problems.
3. L2 Spaces: Optimal Contexts for Fourier Series.
4. Sturm-Liouville Problems.
5. A Splat and a Spike.
6. Fourier Transforms and Fourier Integrals.
7. Special Topics and Applications.
8. Local Frequency Analysis and Wavelets.
What Our Readers Are Saying
Business » General