LEADER 02614nam 22005055 450 001 9910734865303321 005 20251113204638.0 010 $a981-9916-52-6 024 7 $a10.1007/978-981-99-1652-8 035 $a(CKB)27240656400041 035 $a(MiAaPQ)EBC30611012 035 $a(Au-PeEL)EBL30611012 035 $a(DE-He213)978-981-99-1652-8 035 $a(PPN)272266167 035 $a(EXLCZ)9927240656400041 100 $a20230626d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aElementary Convexity with Optimization /$fby Vivek S. Borkar, K. S. Mallikarjuna Rao 205 $a1st ed. 2023. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2023. 215 $a1 online resource (148 pages) 225 1 $aTexts and Readings in Mathematics,$x2366-8725 ;$v83 311 08$a9789819916511 320 $aIncludes bibliographical references and index. 327 $aContinuity and existence of optima -- Differentiability and local optimality -- Convex sets -- Convex functions -- Convex optimization -- Optimization algorithms: an overview -- Epilogue. 330 $aThis book develops the concepts of fundamental convex analysis and optimization by using advanced calculus and real analysis. Brief accounts of advanced calculus and real analysis are included within the book. The emphasis is on building a geometric intuition for the subject, which is aided further by supporting figures. Two distinguishing features of this book are the use of elementary alternative proofs of many results and an eclectic collection of useful concepts from optimization and convexity often needed by researchers in optimization, game theory, control theory, and mathematical economics. A full chapter on optimization algorithms gives an overview of the field, touching upon many current themes. The book is useful to advanced undergraduate and graduate students as well as researchers in the fields mentioned above and in various engineering disciplines. 410 0$aTexts and Readings in Mathematics,$x2366-8725 ;$v83 606 $aMathematical optimization 606 $aOptimization 615 0$aMathematical optimization. 615 14$aOptimization. 676 $a929.605 700 $aBorkar$b Vivek S.$0472615 702 $aRao$b K. S. Mallikarjuna 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910734865303321 996 $aElementary Convexity with Optimization$93403621 997 $aUNINA