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＜電子ブック＞
Real and Convex Analysis / by Erhan Çınlar, Robert J Vanderbei
(Undergraduate Texts in Mathematics. ISSN:21975604)

版	1st ed. 2013.
出版者	(New York, NY : Springer US : Imprint: Springer)
出版年	2013
本文言語	英語
大きさ	IX, 161 p : online resource
著者標目	*Çınlar, Erhan author Vanderbei, Robert J author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Engineering mathematics LCSH:Engineering -- Data processing  全ての件名で検索 LCSH:Operations research LCSH:Management science LCSH:Mathematical optimization FREE:Analysis FREE:Mathematical and Computational Engineering Applications FREE:Operations Research, Management Science FREE:Optimization
一般注記	Sets and Functions -- Metric Spaces -- Functions on Metric Spaces -- Differential and Integral Equations -- Convexity.-Convex Optimization -- Measure and Integration -- Bibiography.-Index.- This book offers a first course in analysis for scientists and engineers. It can be used at the advanced undergraduate level or as part of the curriculum in a graduate program.    The book  is  built around metric spaces. In the first three chapters, the authors lay the foundational material and cover the all-important “four-C’s”: convergence, completeness, compactness, and continuity. In subsequent chapters, the basic tools of analysis are used to give brief introductions to differential and integral equations, convex analysis, and measure theory.    The treatment is modern and aesthetically pleasing. The book contains  detailed illustrations, examples and exercises. It lays the groundwork for the needs of classical fields as well as the important new fields of optimization and probability theory HTTP:URL=https://doi.org/10.1007/978-1-4614-5257-7

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