Introduction to the Theory of Fourier's Series and Integrals

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

Author: Horatio Scott Carslaw

Publisher: Legare Street Press

Published: 2022-10-27

Total Pages: 0

ISBN-13: 9781015773301

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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 PDF

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.

The Theory of Fourier Series and Integrals

The Theory of Fourier Series and Integrals PDF

Author: Peter L. Walker

Publisher:

Published: 1986-06-03

Total Pages: 208

ISBN-13:

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In this book, the author has drawn on his considerable experience of teaching analysis to give a concise explanation of the theory of Fourier series and integrals.

An Introduction to Lebesgue Integration and Fourier Series

An Introduction to Lebesgue Integration and Fourier Series PDF

Author: Howard J. Wilcox

Publisher: Courier Corporation

Published: 2012-04-30

Total Pages: 194

ISBN-13: 0486137473

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This book arose out of the authors' desire to present Lebesgue integration and Fourier series on an undergraduate level, since most undergraduate texts do not cover this material or do so in a cursory way. The result is a clear, concise, well-organized introduction to such topics as the Riemann integral, measurable sets, properties of measurable sets, measurable functions, the Lebesgue integral, convergence and the Lebesgue integral, pointwise convergence of Fourier series and other subjects. The authors not only cover these topics in a useful and thorough way, they have taken pains to motivate the student by keeping the goals of the theory always in sight, justifying each step of the development in terms of those goals. In addition, whenever possible, new concepts are related to concepts already in the student's repertoire. Finally, to enable readers to test their grasp of the material, the text is supplemented by numerous examples and exercises. Mathematics students as well as students of engineering and science will find here a superb treatment, carefully thought out and well presented , that is ideal for a one semester course. The only prerequisite is a basic knowledge of advanced calculus, including the notions of compactness, continuity, uniform convergence and Riemann integration.

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