Calculus of Variations
(eBook)

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Published
Dover Publications, 2012.
Status
Available Online

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Format
eBook
Language
English
ISBN
9780486135014

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Citations

APA Citation, 7th Edition (style guide)

I. M. Gelfand., I. M. Gelfand|AUTHOR., & S. V. Fomin|AUTHOR. (2012). Calculus of Variations . Dover Publications.

Chicago / Turabian - Author Date Citation, 17th Edition (style guide)

I. M. Gelfand, I. M. Gelfand|AUTHOR and S. V. Fomin|AUTHOR. 2012. Calculus of Variations. Dover Publications.

Chicago / Turabian - Humanities (Notes and Bibliography) Citation, 17th Edition (style guide)

I. M. Gelfand, I. M. Gelfand|AUTHOR and S. V. Fomin|AUTHOR. Calculus of Variations Dover Publications, 2012.

MLA Citation, 9th Edition (style guide)

I. M. Gelfand, I. M. Gelfand|AUTHOR, and S. V. Fomin|AUTHOR. Calculus of Variations Dover Publications, 2012.

Note! Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy. Citation formats are based on standards as of August 2021.

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Grouped Work IDbf460451-f0c9-d8d8-764d-8552adc0dae8-eng
Full titlecalculus of variations
Authorgelfand i m
Grouping Categorybook
Last Update2023-12-01 18:07:10PM
Last Indexed2024-04-24 05:05:31AM

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First LoadedNov 25, 2022
Last UsedMar 29, 2024

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    [synopsis] => 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 especially 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.
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