Description
Book SynopsisThis 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.
Trade Review"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 ContentsPreface.
Introduction.
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.
Appendix.
References.
Index.
