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.

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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.

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ISBN 13: 9781330157077

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**Book Description **Forgotten Books 9/27/2015, 2015. Paperback or Softback. Book Condition: New. Introduction to the Theory of Fourier's Series and Integrals (Classic Reprint). Book. Bookseller Inventory # BBS-9781330157077

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**Book Description **Forgotten Books, United States, 2017. Paperback. Book Condition: New. Language: English . Brand New Book ***** Print on Demand *****. Excerpt from Introduction to the Theory of Fourier s Series and Integrals The modern theory of integration, associated chie?y 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 chie?y 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 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. Bookseller Inventory # AAV9781330157077

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**Book Description **Forgotten Books. Paperback. Book Condition: New. This item is printed on demand. 342 pages. Dimensions: 9.0in. x 6.0in. x 0.7in.Excerpt from Introduction to the Theory of Fouriers Series and IntegralsThis book forms the first volume of the new edition of my book on Fouriers Series and Integrals and the Mathematical Theory of the Conduction of Heat, published in 1906; and now for some time out of print. Since 1906 so much advance has been made in the Theory of Fouriers Series and Integrals, as well as in the mathematical discussion of Heat Conduction, that it has seemed advisable to write a completely new work, and to issue the same in two volumes. The first volume, which now appears, is concerned with the Theory of Infinite Series and Integrals, with special reference to Fouriers Series and Integrals. The second volume will be devoted to the Mathematical Theory of the Conduction of Heat. No one can properly understand Fouriers Series and Integrals without a knowledge of what is involved in the convergence of infinite series and integrals. With these questions is bound up the development of the idea of a limit and a function, and both are founded upon the modern theory of real numbers. The first three chapters deal with these matters. In Chapter IV. the Definite Integral is treated from Riemanns point of view, and special attention is given to the question of the convergence of infinite integrals. The theory of series whose terms are functions of a single variable, and the theory of integrals which contain an arbitrary parameter are discussed in Chapters V. and VI. It will be seen that the two theories are closely related, and can be developed on similar lines. The treatment of Fouriers Series in Chapter VII. depends on Dirichlets Integrals. There, and elsewhere throughout the book, the Second Theorem of Mean Value will be found an essential part of the argument. About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www. forgottenbooks. comThis 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. This item ships from La Vergne,TN. Paperback. Bookseller Inventory # 9781330157077

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Published by
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ISBN 10: 1330157079
ISBN 13: 9781330157077

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**Book Description **Forgotten Books, United States, 2017. Paperback. Book Condition: New. Language: English . Brand New Book ***** Print on Demand *****.Excerpt from Introduction to the Theory of Fourier s Series and Integrals The modern theory of integration, associated chie?y 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 chie?y 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 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. Bookseller Inventory # AAV9781330157077

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Published by
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ISBN 10: 1330157079
ISBN 13: 9781330157077

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**Book Description **Forgotten Books, United States, 2017. Paperback. Book Condition: New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. Excerpt from Introduction to the Theory of Fourier s Series and Integrals The modern theory of integration, associated chie?y 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 chie?y 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 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. Bookseller Inventory # LIE9781330157077

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Published by
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ISBN 13: 9781330157077

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**Book Description **Forgotten Books, 2017. Book Condition: New. This item is printed on demand for shipment within 3 working days. Bookseller Inventory # LP9781330157077

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