Excerpt from Lectures on the Calculus of Variations (the Weierstrassian Theory)
The vanishing of the first variation and the differential equation The curvature expressed in terms of F and F.
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Excerpt from Lectures on the Calculus of Variations (the Weierstrassian Theory)
Through the courtesy of Professor Ormond Stone abstracts of this theory were published in Volumes IX, X, XI and XII of the Annals of Mathematics, and from time to time the Calculus of Variations has been included in my University lecture courses.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
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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Paperback. Condición: New. Print on Demand. This book introduces readers to the fascinating world of the Calculus of Variations, a field that has played a pivotal role in shaping our understanding of nature and its laws. The author, a renowned mathematician, presents the subject in a clear and accessible manner, making it approachable for those with a curious mind and a background in basic mathematics. Exploring the historical development of the Calculus of Variations from its humble beginnings to its present-day applications, the author sheds light on the contributions of eminent mathematicians such as Newton, Bernoulli, Euler, Lagrange, and Weierstrass. Through detailed explanations and illustrative examples, the book delves into the intricate concepts of minimum and maximum values, leading readers to grasp the essence of variational problems. With an emphasis on the profound implications of the Calculus of Variations in various scientific disciplines, the author demonstrates its indispensable role in areas such as mechanics, physics, and engineering. The book not only unravels the mathematical intricacies of the subject but also highlights its practical significance in shaping our technological advancements. Delving into the depths of the Calculus of Variations, this book offers a comprehensive exploration of its theoretical underpinnings, historical trajectory, and practical applications. It is an invaluable resource for students, researchers, and anyone seeking to expand their knowledge of this captivating 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. Nº de ref. del artículo: 9781333890131_0
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781333890131
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781333890131
Cantidad disponible: 15 disponibles
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Condición: New. KlappentextrnrnExcerpt from Lectures on the Calculus of Variations (the Weierstrassian Theory)The vanishing of the first variation and the differential equation The curvature expressed in terms of F and F.About the Publisher. Nº de ref. del artículo: 2148092697
Cantidad disponible: Más de 20 disponibles