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Nonlinear functional analysisa first course /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Nonlinear functional analysisby S. Kesavan.
其他題名:	a first course /
作者:	Kesavan, S.
出版者:	Singapore :Springer Nature Singapore :2022.
面頁冊數:	xiii, 150 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Nonlinear functional analysis.
電子資源:	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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