Introduction to the Theory of Fourier's Series and Integrals
Introduction to the Theory of Fourier's Series and Integrals

Author: Horatio Scott Carslaw

Publisher: Legare Street Press

Published: 2022-10-27

Total Pages: 0

ISBN-13: 9781015768550

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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

An Introduction to Fourier Series and Integrals
An Introduction to Fourier Series and Integrals

Author: Robert T. Seeley

Publisher: Courier Corporation

Published: 2014-02-20

Total Pages: 116

ISBN-13: 0486151794

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A compact, sophomore-to-senior-level guide, Dr. Seeley's text introduces Fourier series in the way that Joseph Fourier himself used them: as solutions of the heat equation in a disk. Emphasizing the relationship between physics and mathematics, Dr. Seeley focuses on results of greatest significance to modern readers. Starting with a physical problem, Dr. Seeley sets up and analyzes the mathematical modes, establishes the principal properties, and then proceeds to apply these results and methods to new situations. The chapter on Fourier transforms derives analogs of the results obtained for Fourier series, which the author applies to the analysis of a problem of heat conduction. Numerous computational and theoretical problems appear throughout the text.