A History of the Progress of the Calculus of Variations During the Nineteenth Century (Classic Reprint)
Isaac Todhunter
ISBN 10: 1440045755 ISBN 13: 9781440045752
Published by Forgotten Books, 2018
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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.
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Bibliographic Details
Title: A History of the Progress of the Calculus of...
Publisher: Forgotten Books
Publication Date: 2018
Binding: paperback
Condition: Very Good
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A History of the Progress of the Calculus of Variations During the Nineteenth
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: 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. Seller Inventory # 9781440045752_0
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A Histroy of the Calculus of Variations Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781440045752
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A Histroy of the Calculus of Variations Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781440045752
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A History of the Calculus of Variations (Classic Reprint)
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Paperback. Condition: Brand New. 576 pages. 9.00x6.00x1.30 inches. This item is printed on demand. Seller Inventory # zk1440045755
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