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Nonlinear functional analysis a first course / [electronic resource] :
- 作者： Kesavan, S.
- 其他作者：
- 其他題名：
- Texts and readings in mathematics ;
- 出版： Singapore : Springer Nature Singapore :Imprint: Springer
- 版本：Second edition.
- 叢書名： Texts and readings in mathematics,v. 28
- 主題： Nonlinear functional analysis. , Functional Analysis.
- ISBN： 9789811663475 (electronic bk.) 、 9789811663482 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: 1. Differential Calculus on Normed Linear Spaces -- 2. The Brouwer Degree -- 3. The Leray-Schauder Degree -- 4. Bifurcation Theory -- 5. Critical Points of Functionals.
- 摘要註: 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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讀者標籤：
- 系統號： 005514950 | 機讀編目格式
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