Calculus of Variations

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Jürgen Jost (Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig) Xianqing Li-Jost (Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig)

Calculus of Variations

Jürgen Jost (Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig), Xianqing Li-Jost (Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig)

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English

Cambridge University Press
27 March 2008

Calculus of variations

Series: Cambridge Studies in Advanced Mathematics

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 like 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 only prerequisites are 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.

By: Jürgen Jost (Max-Planck-Institut für Mathematik in den Naturwissenschaften Leipzig), Xianqing Li-Jost (Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 64
Dimensions: Height: 229mm, Width: 152mm, Spine: 19mm
Weight: 510g
ISBN: 9780521057127
ISBN 10: 0521057124
Series: Cambridge Studies in Advanced Mathematics
Pages: 340
Publication Date: 27 March 2008
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Reviews for Calculus of Variations

This modern self-contained exposition...is an excellent textbook for graduate students and a good source of information in the calculus of variations. Mathematical Reviews

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Calculus of Variations

Jürgen Jost (Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig), Xianqing Li-Jost (Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig)

$126.95

Paperback

Reviews for Calculus of Variations

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