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Geometrical Methods in Variational Problems : MATHEMATICS AND ITS APPLICATIONS (KLUWER ) - Nikolai A. Bobylov

Geometrical Methods in Variational Problems

MATHEMATICS AND ITS APPLICATIONS (KLUWER )

Hardcover Published: 31st July 1999
ISBN: 9780792357803
Number Of Pages: 543

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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.

"... the book is a valuable contribution to the literature. It is well-written, self-contained and it has an extensive bibliography, especially with regard to the literature in the Russian language." (Mathematical Reviews, 2001a)

Preface
Preliminaries
Minimization of Nonlinear Functionals
Homotopic Methods in Variational Problems
Topological Characteristics of Extremals of Variational Problems
Applications
Bibliographical Comments
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780792357803
ISBN-10: 0792357809
Series: MATHEMATICS AND ITS APPLICATIONS (KLUWER )
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 543
Published: 31st July 1999
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 24.13 x 16.51  x 3.81
Weight (kg): 1.02