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 Parallax by S. V. Fomin, I. M. Gelfand
Cover of the book Food and Drink by S. V. Fomin, I. M. Gelfand
Cover of the book Goblin Market by S. V. Fomin, I. M. Gelfand
Cover of the book The Book of Signs by S. V. Fomin, I. M. Gelfand
Cover of the book Agrippa's Occult Philosophy by S. V. Fomin, I. M. Gelfand
Cover of the book The Soup Book by S. V. Fomin, I. M. Gelfand
Cover of the book Magicians' Tricks by S. V. Fomin, I. M. Gelfand
Cover of the book Optics and Optical Instruments by S. V. Fomin, I. M. Gelfand
Cover of the book The Turning Place by S. V. Fomin, I. M. Gelfand
Cover of the book Introduction to Linear Algebra and Differential Equations by S. V. Fomin, I. M. Gelfand
Cover of the book Enchiridion by S. V. Fomin, I. M. Gelfand
Cover of the book Jack London The Dover Reader by S. V. Fomin, I. M. Gelfand
Cover of the book Illustrated Encyclopedia of World Railway Locomotives by S. V. Fomin, I. M. Gelfand
Cover of the book Fundamentals of Chemical Reaction Engineering by S. V. Fomin, I. M. Gelfand
Cover of the book Spheroidal Wave Functions 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