An Introduction to the Calculus of Variations - Brossura

Fox, Charles

 
9780486654997: An Introduction to the Calculus of Variations
Brossura
ISBN 10: 0486654990 ISBN 13: 9780486654997
Casa editrice: Dover Pubns, 2003

Sinossi

An understanding of variational methods, the source of such fundamental theorems as the principle of least action and its various generalizations, is essential to the study of mathematical physics and applied mathematics.
In this highly regarded text, aimed at advanced undergraduate and graduate students in mathematics, the author develops the calculus of variations both for its own intrinsic interest and because of its wide and powerful applications to modern mathematical physics.
The first two chapters deal with the first and second variation of an integral in the simplest case, illustrated by applications of the principle of least action to dynamical problems. Chapters III and IV delve into pure mathematics, exploring generalizations and isoperimetrical problems. Applied mathematics are discussed in Chapters V, VI, and VII, including studies of least action, a proof of Hamilton's principle and its use in dealing with dynamical problems in the special theory of relativity, and such methods of approximation as the Rayleigh-Ritz method, illustrated by applications to the theory of elasticity. The last three chapters examine variable end points and strong variations, including an account of Weierstrass's theory of strong variations, based upon the work of Hilbert.
Ideal as a text, this volume offers an exceptionally clear presentation of the mathematics involved, with many illustrative examples, while numerous references cite additional source readings for those interested in pursuing a topic further. Students are assumed to have a knowledge of partial differentiation and differential equations.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Product Description

Rare Book

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Dover Pubns
Data di pubblicazione
2003
Lingua
Inglese
ISBN 10 
0486654990
ISBN 13 
9780486654997
Rilegatura
Copertina flessibile
Numero di pagine
304
Contatto del produttore
non disponibile
Persona responsabile
Soc. Agr. La Raia Ss
http://www.la-raia.it

Strada Monterotondo, 79
Novi Ligure
15067
Italia

Altre edizioni note dello stesso titolo

9780435526917: Introduction to Calculus of Variations

Edizione in evidenza

ISBN 10:  043552691X ISBN 13:  9780435526917
Casa editrice: Heinemann Educational Publishers, 1970
Rilegato