Geometrical Methods in Variational Problems (Mathematics and Its Applications)

Bobylov, N.A.; Emel'yanov, S.V.; Korovin, S.

ISBN 10: 9401059551 / ISBN 13: 9789401059558

Published by Springer, 2012

About this Item

Seller Inventory # I-9789401059558

Bibliographic Details

• Title: Geometrical Methods in Variational Problems (Mathematics and Its Applications)
• Publisher: Springer
• Publication Date: 2012
• Language: English
• ISBN 10: 9401059551
• ISBN 13: 9789401059558
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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.

Review

"... 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)