Elementary Convexity with Optimization

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...

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Autori principali: Borkar, Vivek S. (Autore), Rao, K. S. Mallikarjuna (Autore)
Ente Autore: SpringerLink (Online service)
Natura: Elettronico eBook
Lingua:inglese
Pubblicazione: Singapore : Springer Nature Singapore : Imprint: Springer, 2023.
Edizione:1st ed. 2023.
Serie:Texts and Readings in Mathematics, 83
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Accesso online:https://doi.org/10.1007/978-981-99-1652-8
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Riassunto: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.
Descrizione fisica:1 online resource (XII, 139 p. 36 illus.). 2 illus. in color.
ISBN:9789819916528
ISSN:2366-8725 ;
DOI:10.1007/978-981-99-1652-8