Calculus of Variations with Applications (Dover Books on Mathematics) - Softcover

Ewing, George M.

 
9780486648569: Calculus of Variations with Applications (Dover Books on Mathematics)
Softcover
ISBN 10: 0486648567 ISBN 13: 9780486648569
Publisher: Dover Publications, 2016

Synopsis

This introductory text offers a far-reaching, rigorous, application-oriented approach to variational theory that will increase students' understanding of more specialized books and research papers in the field. The treatment acquaints readers with basic methodology, selecting a path through classical conditions for an extremum, modern existence theory, and problems of recent origin and with novel features. Numerous examples from engineering, physics, and other diverse areas receive full treatment.
The first six chapters require no special preparation beyond a familiarity with advanced calculus. Chapter 1 features a survey of the prerequisite concepts and results, which may be consulted as needed. Subsequent chapters demand greater mathematical maturity, drawing from the fields of modern real analysis, theory of differential equations, functional analysis, and topology. However, the book is sufficiently self-contained that those without such a background can still master much of the second half. Ideal as a primary or supplementary text, this volume imparts fundamental knowledge of a field with widespread, profound implications while challenging readers to develop greater insights.

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About the Author

A distinguished scholar and teacher in the field of applied analysis, George McNaught Ewing (1907–90) was George Lynn Cross Research Professor Emeritus of Mathematics at the University of Oklahoma. This important work became a standard reference in its field.

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Publisher
Dover Publications
Publication date
2016
Language
English
ISBN 10 
0486648567
ISBN 13 
9780486648569
Binding
Paperback
Number of pages
352