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＜電子ブック＞
Nonlinear Functional Analysis: A First Course / by S. Kesavan
(Texts and Readings in Mathematics. ISSN:23668725 ; 28)

版	2nd ed. 2022.
出版者	Singapore : Springer Nature Singapore : Imprint: Springer
出版年	2022
大きさ	XIII, 150 p. 1 illus : online resource
著者標目	*Kesavan, S author SpringerLink (Online service)
件　名	LCSH:Functional analysis FREE:Functional Analysis
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-981-16-6347-5

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