Fourier Analysis
Wiley Series in Pure and Applied Mathematics
1. Auflage Mai 2005
520 Seiten, Hardcover
Wiley & Sons Ltd
Kurzbeschreibung
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.
Rich in both theory and application, Fourier Analysis presents a unique and thorough approach to a key topic in advanced calculus. Written at a rigorous level yet in an engaging style that does not dilute the material, Eric Stade 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. Based upon the principle that theory and practice are fundamentally linked, Fourier Analysis is the ideal text and reference for students in mathematics, engineering, physics, as well as scientists and technicians in a broad range of disciplines who use Fourier analysis in real world situations.
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.
