Calculus of Variations (Hardcover)

Language: English

Published by Cambridge University Press, Cambridge, 1999

0521642035 / 9780521642033

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Hardcover. This textbook on the calculus of variations leads the reader from the basics to modern aspects of the theory. One-dimensional problems and the classical issues such as Euler-Lagrange equations are treated, as are Noether's theorem, Hamilton-Jacobi theory, and in particular geodesic lines, thereby developing some important geometric and topological aspects. The basic ideas of optimal control theory are also given. The second part of the book deals with multiple integrals. After a review of Lebesgue integration, Banach and Hilbert space theory and Sobolev spaces (with complete and detailed proofs), there is a treatment of the direct methods and the fundamental lower semicontinuity theorems. Subsequent chapters introduce the basic concepts of the modern calculus of variations, namely relaxation, Gamma convergence, bifurcation theory and minimax methods based on the Palais-Smale condition. The prerequisites are knowledge of the basic results from calculus of one and several variables. After having studied this book, the reader will be well equipped to read research papers in the calculus of variations. This textbook on the calculus of variations covers from the basics to the modern aspects of the theory. It is intended to equip the reader to read present research papers in the subject. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…

Seller Inventory # 9780521642033

Title
Calculus of Variations (Hardcover)
Author
Juergen Jost
Publisher
Cambridge University Press, Cambridge
Publication year
1999
Condition
new
Binding
Hardcover
Language
English
ISBN 10
0521642035
ISBN 13
9780521642033

CitiRetail

Stevenage, United Kingdom

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AbeBooks seller since June 29, 2022

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