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Nonlinear functional analysisa first course /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Nonlinear functional analysisby S. Kesavan.
Reminder of title:	a first course /
Author:	Kesavan, S.
Published:	Singapore :Springer Nature Singapore :2022.
Description:	xiii, 150 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Nonlinear functional analysis.
Online resource:	https://doi.org/10.1007/978-981-16-6347-5
ISBN:	9789811663475$q(electronic bk.)

Nonlinear functional analysisa first course /
Kesavan, S.

Nonlinear functional analysisa first course /[electronic resource] :by S. Kesavan. - Second edition. - Singapore :Springer Nature Singapore :2022. - xiii, 150 p. :ill., digital ;24 cm. - Texts and readings in mathematics,v. 282366-8725 ;. - Texts and readings in mathematics ;74..

1. Differential Calculus on Normed Linear Spaces -- 2. The Brouwer Degree -- 3. The Leray-Schauder Degree -- 4. Bifurcation Theory -- 5. Critical Points of Functionals.

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.

ISBN: 9789811663475$q(electronic bk.)

Standard No.: 10.1007/978-981-16-6347-5doiSubjects--Topical Terms:

229319
Nonlinear functional analysis.

LC Class. No.: QA321.5

Dewey Class. No.: 515.7248

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520 $a 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.
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