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Nonlinear Functional Analysis: A First Course

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Nonlinear Functional Analysis: A First Course/ by S. Kesavan.
Author:	Kesavan, S.
Description:	XIII, 150 p. 1 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Functional analysis. -
Online resource:	https://doi.org/10.1007/978-981-16-6347-5
ISBN:	9789811663475

Nonlinear Functional Analysis: A First Course
Kesavan, S.

Nonlinear Functional Analysis: A First Course[electronic resource] /by S. Kesavan. - 2nd ed. 2022. - XIII, 150 p. 1 illus.online resource. - Texts and Readings in Mathematics,282366-8725 ;. - Texts and Readings in Mathematics,71.

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

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

527706
Functional analysis.

LC Class. No.: QA319-329.9

Dewey Class. No.: 515.7

Nonlinear Functional Analysis: A First Course
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