Sobre O Desenvolvimento Das Func��es Em S�rie (Classic Reprint) - Softcover

Teixeira, F. Gomes

9780243534302: Sobre O Desenvolvimento Das Func��es Em S�rie (Classic Reprint)

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ISBN 10: 0243534302 ISBN 13: 9780243534302

Publisher: Forgotten Books, 2018

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Excerpt from Sobre o Desenvolvimento das Func��es em S�rie

A A representando quantidades constantes, e determinar estas cons tantes. Na impossibilidade de resolver este problema com toda a genera lidade, t�em os geometras considerado os casos particulares que, ou por sua simplicidade ou por sua importancia nas appliea��es da Analyse a Geo metria, a Mecanica e a Physica, t�em merecido preferencia. Assim foi considerado o caso de 9, 82 representarem potencias inteiras de uma fune��o, o caso de estas fune��es serem os senos ou os cosenos de multiplos suecessivos do arco x, 0 caso de estas fnnc��es representarem potencias inteiras, positivas ou negativas, de muitos binomios da f�rma r a, a; etc. Cada uma (festas quest�es exige bastante espa�o para ser tratada de uma maneira completa porisso aqui limitar - nos-hemos a tra tar da primeira, isto �, do desenvolvimento das fune��es em s�rie ordena da segundo as tpotencias inteiras de uma func��o dada.

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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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Publisher: Forgotten Books
Publication date: 2018
Language: English
ISBN 10: 0243534302
ISBN 13: 9780243534302
Binding: Paperback
Number of pages: 127

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Sobre o Desenvolvimento das Funcções em S� rie (Classic Reprint)

F. Gomes Teixeira

Published by Forgotten Books, 2024

ISBN 10: 0243534302 ISBN 13: 9780243534302

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Seller: Forgotten Books, London, United Kingdom

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Paperback. Condition: New. Print on Demand. This book introduces and explores the various methods employed to express mathematical functions as series, offering a comprehensive guide to this fundamental concept in mathematical analysis. Beginning with the simplest series expansions, it presents the methods developed by Bernoulli, Taylor, Lagrange, and Cauchy, among others, to tackle increasingly complex problems. Readers will learn about the criteria for the convergence of series and the conditions under which a function can be represented as a series. The book also examines the historical context of these developments, tracing the evolution of the theory of series expansions from its early origins to its modern applications in diverse fields. The author provides a thorough examination of the different methods for developing functions into series, from basic techniques to more advanced approaches. By exploring the relationship between series expansions and other mathematical concepts, this book sheds light on the power and versatility of series in mathematical analysis. 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. Seller Inventory # 9780243534302_0

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