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Book Cover
E-book
Author Kesavan, S., author.

Title Nonlinear functional analysis : a first course / S. Kesavan
Edition Second edition
Published Singapore : Springer ; New Delhi : Hindustan Book Agency, [2022]
©2022

Copies

Description 1 online resource (xiii, 150 pages)
Series Texts and readings in mathematics, 2366-8725 ; volume 28
Texts and readings in mathematics ; 28. 2366-8725
Contents 1. Differential Calculus on Normed Linear Spaces -- 2. The Brouwer Degree -- 3. The Leray-Schauder Degree -- 4. Bifurcation Theory -- 5. Critical Points of Functionals
Summary The book discusses the basic theory of topological and variational methods used in solving nonlinear equations involving mappings between normed linear spaces. It is meant to be a primer of nonlinear analysis and is designed to be used as a text or reference book by graduate students. Frechet derivative, Brouwer fixed point theorem, Borsuk's theorem, and bifurcation theory along with their applications have been discussed. Several solved examples and exercises have been carefully selected and included in the present edition. The prerequisite for following this book is the basic knowledge of functional analysis and topology
Bibliography Includes bibliographical references and index
Notes Online resource; title from PDF title page (SpringerLink, viewed June 8, 2022)
Subject Nonlinear functional analysis.
Análisis funcional no lineal
Nonlinear functional analysis
Form Electronic book
ISBN 9789811663475
9811663475