The digital edition of all books may be viewed on our website before purchase. Excerpt from Die Theorie der Variationsrechnung
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Vendeur : Forgotten Books, London, Royaume-Uni
Paperback. Etat : New. Print on Demand. This book is an in-depth exploration of the theory of variations, providing an accessible and rigorous introduction to this fundamental mathematical concept. The author begins by situating the theory of variations within the broader context of mathematical analysis, highlighting its unique role in solving optimization problems for functions with infinitely small increments, which cannot be solved using traditional differential calculus techniques. The book delves into the historical development of the theory of variations, tracing its origins back to the work of the Bernoulli brothers, Euler, and Lagrange. The author carefully examines Lagrange's seminal contributions to the field, particularly his introduction of a new method that avoids the pitfalls of the infinitesimal approach. The author also discusses the influence of the theory of variations on other areas of mathematics, including calculus and differential equations. Throughout the book, the author strikes a balance between theoretical exposition and practical application, guiding readers through a series of solved problems and instructive examples that illustrate the power and versatility of the theory of variations. The book also explores the close relationship between the theory of variations and the calculus of variations, showing how these two approaches complement each other in solving optimization problems. Ultimately, the book's strength lies in its ability to demystify the theory of variations, revealing its profound implications for understanding the behavior of functions and systems in both mathematics and the physical sciences. By providing a comprehensive and accessible treatment of the subject, this book is an invaluable resource for students, researchers, and anyone seeking a deeper understanding of the principles of optimization. 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 9781390001303_0
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