Calculus of Variations (Dover Books on Mathematics)

Calculus of Variations (Dover Books on Mathematics)
by I. M. Gelfand, S. V. Fomin

Calculus of Variations (Dover Books on Mathematics)
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Book Summary Information

Author: I. M. Gelfand, S. V. Fomin
Edition: Paperback
Audio: English (Unknown); English (Original Language); English (Published)
Published: 2000-10-16
ISBN: 0486414485
Number of pages: 240
Publisher: Dover Publications

Book Reviews of Calculus of Variations (Dover Books on Mathematics)

Book Review: The best "introductory" book in Variational Calculus.
Summary: 5 Stars

Readable books on Calculus of Variations are hard to come by, if not non-existent. This is one of the clearest and most readable and self-contained books in the topic. I used it in a fourth year course at Simon Fraser University, BC, Canada. This is an introductory book meant for undergraduates and it is very well suited for this level. I strongly recommend that all serious students in Physics, Chemistry, engineering, and computing science to take a serious look at the book as a starting point in studying this most underated and relevant topic as a necessary mathematical foundation. Virtually all fundamental laws of Physics, Chemistry, and Engineering have their origins from some form of variational prinicples. If anyone is interested in pursuing this topic, this should definitely be the first book one should read. The student should be equipped with at least one introductory course in Real Ananlysis in order to start studying Variational Calculus. Otherwise, the readable may not find this book readable. Just a practical (cook-book) style applied mathematics course in Calculus and Differential Equations is inadequate as preparation to study this topic. I most sincerely congratulate the author in having done such a superbly well organized job in writing such a highly readable book in this challenging and important topic.

Summary of Calculus of Variations (Dover Books on Mathematics)

First 6 chapters include theory of fields and sufficient conditions for weak and strong extrema. Chapter 7 considers application of variation methods to systems with infinite degrees of freedom, and Chapter 8 deals with direct methods in the calculus of variations. Problems follow each chapter and the 2 appendices.

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