Introduction to the Theory of Fourier's Series and Integrals (Classic Reprint)

Introduction to the Theory of Fourier's Series and Integrals (Classic Reprint) PDF

Author: H. S. Carslaw

Publisher: Forgotten Books

Published: 2017-10-15

Total Pages: 340

ISBN-13: 9780265332207

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Excerpt from Introduction to the Theory of Fourier's Series and Integrals The modern theory of integration, associated chiefly with the name of Lebesgue, has introduced into the Theory of Fourier's Series and Integrals functions of a far more complicated nature. Various writers, notably W. H. Young, are engaged in building up a theory of these and allied series much more advanced than any thing treated in this book. These developments are in the meantime chiefly interesting to the Pure Mathematician specialising in the Theory of Functions of a Real Variable. My purpose has been to remove some of the difficulties of the Applied Mathematician. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Introduction to the Theory of Fourier's Series and Integrals and the Mathematical Theory of the Conduction of Heat

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

Author: Horatio Scott Carslaw

Publisher: Sagwan Press

Published: 2015-08-22

Total Pages: 460

ISBN-13: 9781297987892

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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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. 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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. 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.