A Histroy of the Calculus of Variations (Classic Reprint) - Couverture souple

Loomis, Ernest

9781440045752: A Histroy of the Calculus of Variations (Classic Reprint)

Couverture souple

ISBN 10 : 1440045755 ISBN 13 : 9781440045752

Editeur : Forgotten Books, 2018

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Trace the birth and growth of the calculus of variations through the nineteenth century, seen through the eyes of a careful historian.

This volume surveys the key ideas, methods, and contributors that shaped the calculus of variations. It analyzes pivotal works and memoirs by figures such as Poisson, Ostrogradsky, Sarrus, Cauchy, Jacobi, Legendre, and Jacobi, showing how the subject evolved from classroom problems to a structured mathematical theory. The author aims for clarity and accessibility, guiding readers who have mastered the basics toward a broader understanding of the field’s history.

Clear historical overview of the calculus of variations and its major chapters.
Profiles of influential memoirs and the mathematicians who advanced the subject.
Discussion of how ideas about maxima, minima, and integrability developed over time.

Ideal for readers of the history of mathematics and students seeking context for the development of variational methods.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

Pr�sentation de l'�diteur

HlSTORY OF THE PROGRESS OF THE CALCULUS OF VARIATIONS DURING THE NINETEENTH CENTURY LIBRARY OF CONGRESS CATALOG CARD NUMBER 61-18586 PRINTED IN THE UNITED STATES OF AMERICA .
(Typographical errors above are due to OCR software and don't occur in the book.)

About the Publisher

Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.

Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the aged text. Read books online for free at www.forgottenbooks.org

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Forgotten Books
Date d'�dition: 2018
Langue: anglais
ISBN 10: 1440045755
ISBN 13: 9781440045752
Reliure: Broch�
Nombre de pages: 581
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A History of the Progress of the Calculus of Variations During the Nineteenth

Isaac Todhunter

Edit� par Forgotten Books, 2018

ISBN 10 : 1440045755 ISBN 13 : 9781440045752

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Vendeur : Forgotten Books, London, Royaume-Uni

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Paperback. Etat : New. Print on Demand. This book provides a comprehensive and detailed history of the Calculus of Variations during the 19th century. It delves into the subject's development, showcasing how prominent mathematicians of the era expanded its boundaries. The author meticulously analyzes key treatises and memoirs, comparing and contrasting different approaches to solving problems involving the variation of integrals, both single and multiple. The book also examines the criteria for distinguishing maximum from minimum values in integral expressions, tracing the evolution of these criteria through the works of Legendre, Brunacci, and Jacobi. Beyond merely outlining the chronological progress of the subject, the author delves into the conceptual and methodological shifts that occurred within the Calculus of Variations during this period. He highlights the emergence of new approaches, such as those involving variable limits of integration, and carefully analyzes the impact of key insights from various mathematicians. The author's thorough examination of past work allows him to identify and clarify errors, offering a valuable resource for those interested in understanding the evolution of this important mathematical field. 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 r�f. du vendeur 9781440045752_0

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