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.
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Da: MW Books, New York, NY, U.S.A.
1st edition. Very good paperback copy; edges somewhat dust-dulled and nicked. Remains quite well-preserved overall. Physical Description; VIII, 271 str. : ilustr. ; 22 cm. Subjects; Calcul des variations. Calculus of variations. 1 Kg. Codice articolo 414800
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Paperback. Condizione: Very Good. This book is in very good condition and will be shipped within 24 hours of ordering. The cover may have some limited signs of wear but the pages are clean, intact and the spine remains undamaged. This book has clearly been well maintained and looked after thus far. Money back guarantee if you are not satisfied. See all our books here, order more than 1 book and get discounted shipping. Codice articolo 6545-9780486654997
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Paperback. Condizione: Very Good. An Introduction to the Calculus of Variations (Dover Books on Mathematics) This book is in very good condition and will be shipped within 24 hours of ordering. The cover may have some limited signs of wear but the pages are clean, intact and the spine remains undamaged. This book has clearly been well maintained and looked after thus far. Money back guarantee if you are not satisfied. See all our books here, order more than 1 book and get discounted shipping. Codice articolo 7719-9780486654997
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Da: MW Books Ltd., Galway, Irlanda
1st edition. Very good paperback copy; edges somewhat dust-dulled and nicked. Remains quite well-preserved overall. Physical Description; VIII, 271 str. : ilustr. ; 22 cm. Subjects; Calcul des variations. Calculus of variations. 1 Kg. Codice articolo 414800
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Da: Au bon livre, La Barre en Ouche, Francia
Broché. Condizione: D'occasion - État correct. Dover Publications, paperback (souple), 1987. Couverture un peu passée au dos, marques d'usage au dos, quelques annotations rares au crayon, livre se tient bien. Envoi rapide et soigné. Codice articolo 5L8C122
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