Fourier Analysis and its Applications

Gerald B. Folland

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ISBN 10: 0534170943 ISBN 13: 9780534170943

Published by Amer Mathematical Society, 1992

Language: English

Condition: Used - Fine Hardcover

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Leichte Kratzer / Abnutzungen / Druckstellen; Leichte Verschmutzung / Farbtonver�nderung. This book presents the theory and applications of Fourier series and integrals, Laplace Transforms, eigenfunction expansions, and related topics. It deals almost exclusively with those aspects of Fourier analysis that are useful in physics and engineering. Using ideas from modern analysis, it discusses the concepts and reasoning behind the techniques without getting bogged down in the technicalities of rigorous proofs. A wide variety of applications are included, in addition to discussions of integral equations and signal analysis.

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Bibliographic Details

Title: Fourier Analysis and its Applications
Publisher: Amer Mathematical Society
Publication Date: 1992
Language: English
ISBN 10: 0534170943
ISBN 13: 9780534170943
Binding: Hardcover
Condition: Fine

About this title

Synopsis

This book presents the theory and applications of Fourier series and integrals, Laplace Transforms, eigenfunction expansions, and related topics. It deals almost exclusively with those aspects of Fourier analysis that are useful in physics and engineering. Using ideas from modern analysis, it discusses the concepts and reasoning behind the techniques without getting bogged down in the technicalities of rigorous proofs. A wide variety of applications are included, in addition to discussions of integral equations and signal analysis.

Review

With the same mastery as in his Real analysis, the author now offers us this excellent textbook on Fourier analysis: Fourier series, orthogonal systems, Bessel functions, Fourier and Laplace transforms, which are all very powerful mathematical tools in many a scientific domain. Without being exhaustive and without falling into a profusion of boring details, it nevertheless gives a panorama of these topics that is as complete as the framework of the book allows. Thus this text, which is designed for courses at the advanced undergraduate level and beyond, will also serve as a useful reference book. ---- Mathematical Reviews

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