Calculus of Variations

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Modern guide to calculus of variations

This book is a must-read for advanced undergraduate and graduate students of mathematics and physics who want to master the basics of the calculus of variations. The book comprehensively covers the theory of fields and provides sufficient conditions for strong and weak extrema. It also explores the physical applications of variational methods, making it guide particularly relevant for readers interested in mechanics, conservation laws, and canonical equations.

Note: While we do our best to ensure the accuracy of cover images, ISBNs may at times be reused for different editions of the same title which may hence appear as a different cover.

Calculus of Variations

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ISBN: 9780486414485
Publisher: Dover Publications
Date of Publication: 2000-10-16
Format: Paperback
Goodreads rating: 4.2
(rated by 82 readers)

Description

Based on a series of lectures given by I.M.Gelfand at Moscow State University, this book actually goes considerably beyond the material presented in the lectures. The aim is to give treatment of the elements of the calculus of variations in a form both easily understandable and sufficiently modern. Considerable attention is devoted to physical applications of variational methods, e.g., canonical equations, variational principles of mechanics, and conservation laws.the reader who merely wishes to become familiar with the most basic concepts and methods of the calculus of variations need only study the first chapter. Students wishing a more extensive treatment, however, will find the first six chapters comprise a complete university-level course in the subject, including the theory of fields and sufficient conditions for weak and strong extrema. Chapter seven considers the application of variational methods to the study of systems with infinite degrees of freedom, and Chapter eight deals with direct methods in the calculus of variations. The problems following each chapter were made specially for this English-language edition, and many of them comment further on corresponding parts of the text. Two appendices and suggestions for supplementary reading round out the text.Substantially revised and corrected by the translator, this inexpensive ne edition will be welcomed by advanced undergraduate and graduate students of mathematics and physics.
 

Modern guide to calculus of variations

This book is a must-read for advanced undergraduate and graduate students of mathematics and physics who want to master the basics of the calculus of variations. The book comprehensively covers the theory of fields and provides sufficient conditions for strong and weak extrema. It also explores the physical applications of variational methods, making it guide particularly relevant for readers interested in mechanics, conservation laws, and canonical equations.

Note: While we do our best to ensure the accuracy of cover images, ISBNs may at times be reused for different editions of the same title which may hence appear as a different cover.