Calculus of Variations with Applications

Ewing, George M.

ISBN 10: 0486648567 / ISBN 13: 9780486648569

Editore: Dover Publications, Incorporated, 2016

Used book that is in excellent condition. May show signs of wear or have minor defects. Codice articolo 6215570-75

Riassunto:

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.

Informazioni sull?autore:

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.

Dati bibliografici

Titolo: Calculus of Variations with Applications
Casa editrice: Dover Publications, Incorporated
Data di pubblicazione: 2016
Legatura: Brossura
Condizione: Very Good