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＜電子ブック＞
Elementary Convexity with Optimization / by Vivek S. Borkar, K. S. Mallikarjuna Rao
(Texts and Readings in Mathematics. ISSN:23668725 ; 83)

版	1st ed. 2023.
出版者	(Singapore : Springer Nature Singapore : Imprint: Springer)
出版年	2023
本文言語	英語
大きさ	XII, 139 p. 36 illus., 2 illus. in color : online resource
著者標目	*Borkar, Vivek S author Rao, K. S. Mallikarjuna author SpringerLink (Online service)
件　名	LCSH:Mathematical optimization FREE:Optimization
一般注記	Continuity and existence of optima -- Differentiability and local optimality -- Convex sets -- Convex functions -- Convex optimization -- Optimization algorithms: an overview -- Epilogue This book develops the concepts of fundamental convex analysis and optimization by using advanced calculus and real analysis. Brief accounts of advanced calculus and real analysis are included within the book. The emphasis is on building a geometric intuition for the subject, which is aided further by supporting figures. Two distinguishing features of this book are the use of elementary alternative proofs of many results and an eclectic collection of useful concepts from optimization and convexity often needed by researchers in optimization, game theory, control theory, and mathematical economics. A full chapter on optimization algorithms gives an overview of the field, touching upon many current themes. The book is useful to advanced undergraduate and graduate students as well as researchers in the fields mentioned above and in various engineering disciplines HTTP:URL=https://doi.org/10.1007/978-981-99-1652-8

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