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An Introduction to the Calculus of Variations
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ISBN: 9780486654997

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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. Books, [PU: Dover Publications]

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An Introduction to the Calculus of Variations
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ISBN: 9780486654997

ID: 9780486654997

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. Books, [PU: Dover Publications]

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An Introduction to the Calculus of Variations - Charles W. Fox
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Paperback, [PU: Dover Publications Inc.], Highly regarded text for advanced undergraduate and graduate students explores first and second variations of an integral, generalizations, isoperimetrical problems, least action, special relativity, elasticity, more. 1963 edition., Calculus Of Variations

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An Introduction to the Calculus of Variations An-Introduction-to-the-Calculus-of-Variations~~Charles-Fox Science>Mathematics>Mathematics Paperback, Dover Publications

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Details zum Buch
An Introduction to the Calculus of Variations

Highly regarded text for advanced undergraduate and graduate students explores first and second variations of an integral, generalizations, isoperimetrical problems, least action, special relativity, elasticity, more. 1963 edition.

Detailangaben zum Buch - An Introduction to the Calculus of Variations


EAN (ISBN-13): 9780486654997
ISBN (ISBN-10): 0486654990
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: DOVER PUBN INC
304 Seiten
Gewicht: 0,313 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 18.05.2007 16:07:18
Buch zuletzt gefunden am 03.10.2017 11:37:15
ISBN/EAN: 9780486654997

ISBN - alternative Schreibweisen:
0-486-65499-0, 978-0-486-65499-7


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