Geometrical Methods in Variational Problems
This self-contained monograph presents methods for the investigation of nonlinear variational problems. These methods are based on geometric and topological ideas such as topological index, degree of a mapping,
Morse-Conley index, Euler characteristics, deformation invariant, homotopic invariant, and the Lusternik-Shnirelman category. Attention is also given to applications in optimisation, mathematical physics, control, and numerical methods. Audience: This volume will be of interest to specialists in functional analysis and its applications, and can also be recommended as a text for graduate and postgraduate-level courses in these fields.
1117771407
Geometrical Methods in Variational Problems
This self-contained monograph presents methods for the investigation of nonlinear variational problems. These methods are based on geometric and topological ideas such as topological index, degree of a mapping,
Morse-Conley index, Euler characteristics, deformation invariant, homotopic invariant, and the Lusternik-Shnirelman category. Attention is also given to applications in optimisation, mathematical physics, control, and numerical methods. Audience: This volume will be of interest to specialists in functional analysis and its applications, and can also be recommended as a text for graduate and postgraduate-level courses in these fields.
109.99 In Stock
Geometrical Methods in Variational Problems

Geometrical Methods in Variational Problems

Geometrical Methods in Variational Problems

Geometrical Methods in Variational Problems

Hardcover(1999)

$109.99 
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Overview

This self-contained monograph presents methods for the investigation of nonlinear variational problems. These methods are based on geometric and topological ideas such as topological index, degree of a mapping,
Morse-Conley index, Euler characteristics, deformation invariant, homotopic invariant, and the Lusternik-Shnirelman category. Attention is also given to applications in optimisation, mathematical physics, control, and numerical methods. Audience: This volume will be of interest to specialists in functional analysis and its applications, and can also be recommended as a text for graduate and postgraduate-level courses in these fields.

Product Details

ISBN-13: 9780792357803
Publisher: Springer Netherlands
Publication date: 07/31/1999
Series: Mathematics and Its Applications , #485
Edition description: 1999
Pages: 543
Product dimensions: 6.69(w) x 9.61(h) x 0.36(d)

Table of Contents

Preface. 1. Preliminaries. 2. Minimization of Nonlinear Functionals. 3. Homotopic Methods in Variational Problems. 4. Topological Characteristics of Extremals of Variational Problems. 5. Applications. Bibliographical Comments. References. Index.
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