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 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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.
This is a pre-1923 historical reproduction that was curated for quality. Quality assurance was conducted on each of these books in an attempt to remove books with imperfections introduced by the digitization process. Though we have made best efforts - the books may have occasional errors that do not impede the reading experience. We believe this work is culturally important and have elected to bring the book back into print as part of our continuing commitment to the preservation of printed works worldwide. This text refers to the Bibliobazaar edition.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
EUR 0,73 expédition depuis Etats-Unis vers France
Destinations, frais et délaisVendeur : PBShop.store US, Wood Dale, IL, Etats-Unis
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781330157077
Quantité disponible : 15 disponible(s)
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781330157077
Quantité disponible : 15 disponible(s)
Vendeur : Forgotten Books, London, Royaume-Uni
Paperback. Etat : New. Print on Demand. This book delves into the fascinating realm of infinite series and integrals, with a particular emphasis on Fourier series and integrals. It embarks on a journey through the foundations of mathematical analysis, exploring the intricacies of rational and irrational numbers, and establishing the concept of the linear continuum. The author meticulously examines the convergence of infinite sequences and series, laying the groundwork for understanding the behaviour of functions and their limits. The definite integral takes centre stage, with Riemann's approach providing a comprehensive framework for analysis. Building upon these concepts, the book delves into the theory of infinite series, exploring uniform convergence and its implications for term-by-term integration and differentiation. Fourier series are introduced and rigorously examined, drawing upon the works of Dirichlet and Poisson. The author explores the nature of convergence of Fourier series, delving into Gibbs Phenomenon and its impact on approximation. The exploration culminates in the study of Fourier integrals, extending the reach of Fourier analysis to a broader class of functions. This comprehensive journey through infinite series and integrals illuminates the profound connections between mathematical theory and its applications, revealing the elegant tools that mathematicians employ to understand and model the world around us. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9781330157077_0
Quantité disponible : Plus de 20 disponibles
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Taschenbuch. Etat : Neu. Neuware. N° de réf. du vendeur 9781330157077
Quantité disponible : 2 disponible(s)
Vendeur : Mispah books, Redhill, SURRE, Royaume-Uni
paperback. Etat : New. New. book. N° de réf. du vendeur ERICA80013301570796
Quantité disponible : 1 disponible(s)