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Synopsis
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.
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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)
Print on DemandSeller: Revaluation Books, Exeter, United Kingdom
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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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