Elementary convexity with optimization [Documento eletrónico] / by Vivek S. Borkar, K. S. Mallikarjuna Rao
Language: eng - inglesa.Country: SG - Singapura.Publication: Singapore : Springer, 2023Description: XII, 139 p. : il.ISBN: 978-981-99-1652-8.Series: Texts and readings in mathematics, 83Subject - Topical Name: Mathematical optimization Online Resources:Click here to access onlineItem type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA402.5.SPR FCT (Browse shelf) | 1 | Available | 97357 |
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QA402.5.SPR FCT Variational views in mechanics | QA402.5.SPR FCT Non-smooth and complementarity-based distributed parameter systems | QA402.5.SPR FCT Convex analysis and beyond | QA402.5.SPR FCT Elementary convexity with optimization | QA402.5.SPR FCT Vectors and functions of several variables | QA402.5.SPR FCT Operations research and data science in public services | QA402.5.SPR FCT Approximation and computation in science and engineering |
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.
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