LEADER 03727nam 22005055 450 001 9910908363003321 005 20260121143222.0 010 $a9783662662403$b(electronic bk.) 010 $z9783662662397 024 7 $a10.1007/978-3-662-66240-3 035 $a(MiAaPQ)EBC31786529 035 $a(Au-PeEL)EBL31786529 035 $a(CKB)36601338300041 035 $a(DE-He213)978-3-662-66240-3 035 $a(EXLCZ)9936601338300041 100 $a20241118d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aBasic Concepts of Global Optimization /$fby Oliver Stein 205 $a1st ed. 2024. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2024. 215 $a1 online resource (192 pages) 225 1 $aMathematics Study Resources,$x2731-3832 ;$v5 311 08$aPrint version: Stein, Oliver Basic Concepts of Global Optimization Berlin, Heidelberg : Springer Berlin / Heidelberg,c2024 9783662662397 327 $a1 Introduction -- 2 Convex Optimization Problems -- 3 Nonconvex Optimization Problems. 330 $aThis textbook is an introduction to global optimization, which treats mathematical facts stringently on the one hand, but also motivates them in great detail and illustrates them with 80 figures. The book is therefore not only aimed at mathematicians, but also at natural scientists, engineers and economists who want to understand and apply mathematically sound methods in their field. With almost two hundred pages, the book provides enough choices to use it as a basis for differently designed lectures on global optimization. The detailed treatment of the global solvability of optimization problems under application-relevant conditions sets a new accent that enriches the stock of previous textbooks on optimization. Using the theory and algorithms of smooth convex optimization, the book illustrates that the global solution of a class of optimization problems frequently encountered in practice is efficiently possible, while for the more difficult-to-handle non-convex problems it develops in detail the ideas of branch-and-bound methods. The author Prof. Dr. Oliver Stein is a full professor at the Karlsruhe Institute of Technology, where he heads the Continuous Optimization group at the Institute for Operations Research. His research focuses on the design and implementation of optimization methods and their theoretical foundations. His teaching focuses on global optimization, nonlinear optimization, mixed-integer optimization, convex analysis, parametric optimization, and multiobjective optimization. This book is the English translation of the 2nd edition of ?Grundzüge der Globalen Optimierung? (Springer, 2021) written in German. The translation was done with the help of artificial intelligence. A subsequent revision was performed by the author to further refine the work and to ensure that the translation is appropriate concerning content and scientific correctness. It may, however, read stylistically different from a conventional translation. 410 0$aMathematics Study Resources,$x2731-3832 ;$v5 606 $aMathematical optimization 606 $aOptimization 606 $aOptimització matemàtica$2thub 608 $aLlibres electrònics$2thub 615 0$aMathematical optimization. 615 14$aOptimization. 615 7$aOptimització matemàtica 676 $a519.6 700 $aStein$b Oliver$01425664 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910908363003321 996 $aBasic Concepts of Global Optimization$94290975 997 $aUNINA