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Calculus of Variations (Dover Books on Mathematics) - Softcover

 
9780486414485: Calculus of Variations (Dover Books on Mathematics)
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First six chapters include theory of fields and sufficient conditions for weak and strong extrema. Chapter seven considers application of variation methods to systems with infinite degrees of freedom, and Chapter eight deals with direct methods in the calculus of variations. Problems follow each chapter and the 2 appendices.

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  • PublisherDover Publications Inc.
  • Publication date2003
  • ISBN 10 0486414485
  • ISBN 13 9780486414485
  • BindingPaperback
  • Number of pages240
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9780131122925: Calculus of Variations (Selected Russian publications in the mathematical sciences)

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ISBN 10:  0131122924 ISBN 13:  9780131122925
Publisher: Prentice-Hall, 1963
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Book Description Paperback. Condition: new. Paperback. Fresh, lively text serves as a modern introduction to the subject, with applications to the mechanics of systems with a finite number of degrees of freedom. Ideal for math and physics students. 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 a 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 7 considers the application of variational methods to the study of systems with infinite degrees of freedom, and Chapter 8 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 new edition will be welcomed by advanced undergraduate and graduate students of mathematics and physics. Fresh, lively text serves as a modern introduction to the subject, with applications to the mechanics of systems with a finite number of degrees of freedom. Ideal for math and physics students. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780486414485

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