Calculus of Variations

Nonfiction, Science & Nature, Mathematics, Calculus
Cover of the book Calculus of Variations by S. V. Fomin, I. M. Gelfand, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: S. V. Fomin, I. M. Gelfand ISBN: 9780486135014
Publisher: Dover Publications Publication: April 26, 2012
Imprint: Dover Publications Language: English
Author: S. V. Fomin, I. M. Gelfand
ISBN: 9780486135014
Publisher: Dover Publications
Publication: April 26, 2012
Imprint: Dover Publications
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Dover Publications

Cover of the book Politics by S. V. Fomin, I. M. Gelfand
Cover of the book Medieval Ornament and Design by S. V. Fomin, I. M. Gelfand
Cover of the book Human Anatomy for Artists by S. V. Fomin, I. M. Gelfand
Cover of the book All's Well That Ends Well by S. V. Fomin, I. M. Gelfand
Cover of the book Tibetan Religious Art by S. V. Fomin, I. M. Gelfand
Cover of the book Great Short Poems from Around the World by S. V. Fomin, I. M. Gelfand
Cover of the book Tender Buttons by S. V. Fomin, I. M. Gelfand
Cover of the book Amulets and Superstitions by S. V. Fomin, I. M. Gelfand
Cover of the book Rotating Fluids in Engineering and Science by S. V. Fomin, I. M. Gelfand
Cover of the book Two Stories/Deux nouvelles by S. V. Fomin, I. M. Gelfand
Cover of the book De Natura Fossilium (Textbook of Mineralogy) by S. V. Fomin, I. M. Gelfand
Cover of the book How to Design and Make Wood Reliefs by S. V. Fomin, I. M. Gelfand
Cover of the book A Course on Group Theory by S. V. Fomin, I. M. Gelfand
Cover of the book Old Sword Play by S. V. Fomin, I. M. Gelfand
Cover of the book Decorative Alphabets Charted Designs by S. V. Fomin, I. M. Gelfand
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy