Stade Fourier Analysis

1. Auflage 2011
ISBN: 978-1-118-16551-5
Verlag: John Wiley & Sons
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 520 Seiten, E-Book

Reihe: Wiley Series in Pure and Applied Mathematics

A reader-friendly, systematic introduction to Fourieranalysis
Rich in both theory and application, Fourier Analysispresents a unique and thorough approach to a key topic in advancedcalculus. This pioneering resource tells the full story of Fourieranalysis, including its history and its impact on the developmentof modern mathematical analysis, and also discusses essentialconcepts and today's applications.
Written at a rigorous level, yet in an engaging style that doesnot dilute the material, Fourier Analysis brings twoprofound aspects of the discipline to the forefront: the wealth ofapplications of Fourier analysis in the natural sciences and theenormous impact Fourier analysis has had on the development ofmathematics as a whole. Systematic and comprehensive, the book:
* Presents material using a cause-and-effect approach,illustrating where ideas originated and what necessitated them
* Includes material on wavelets, Lebesgue integration, L2 spaces,and related concepts
* Conveys information in a lucid, readable style, inspiringfurther reading and research on the subject
* Provides exercises at the end of each section, as well asillustrations and worked examples throughout the text
Based upon the principle that theory and practice arefundamentally linked, Fourier Analysis is the ideal text andreference for students in mathematics, engineering, and physics, aswell as scientists and technicians in a broad range of disciplineswho use Fourier analysis in real-world situations.

Autoren/Hrsg.

Stade, Eric

Inhaltsverzeichnis

Preface.
Introduction.
1. Fourier Coefficients and Fourier Series.
2. Fourier Series and Boundary Value Problems.
3. L² Spaces: Optimal Contexts for FourierSeries.
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.

Über Autor(innen)

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.