LEADER 03630nam 22005415 450 001 9910887876603321 005 20260113152210.0 010 $a3-662-69741-6 024 7 $a10.1007/978-3-662-69741-2 035 $a(MiAaPQ)EBC31680678 035 $a(Au-PeEL)EBL31680678 035 $a(CKB)35895620100041 035 $a(DE-He213)978-3-662-69741-2 035 $a(OCoLC)1456754434 035 $a(EXLCZ)9935895620100041 100 $a20240917d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aBasic Concepts of Nonlinear Optimization /$fby Oliver Stein 205 $a1st ed. 2024. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2024. 215 $a1 online resource (224 pages) 225 1 $aMathematics Study Resources,$x2731-3832 ;$v8 311 08$a3-662-69740-8 327 $aIntroduction -- Unconstrained Optimization -- Constrained Optimization. 330 $aThis textbook is an introduction to nonlinear optimization, which treats mathematical concepts stringently on the one hand, but also motivates them in great detail and illustrates them with 42 figures. Therefore, the book is not only aimed at mathematicians, but also at natural scientists, engineers, and economists who want to understand and apply mathematically sound methods in their field. With just over two hundred pages, the book offers sufficient flexibility to serve as a foundation for various types of lectures on nonlinear optimization. Many geometric approaches for understanding both optimality conditions and numerical methods introduce a new perspective, enriching the existing literature on optimization. This is particularly evident in the detailed treatment of issues arising from different functional descriptions of the same geometry of feasible sets, and the thus motivated introduction of constraint qualifications for deriving derivative-based optimality conditions. The author Prof. Dr. Oliver Stein is a full professor at the Karlsruhe Institute of Technology, where he heads the Continuous Optimization group at the Institute for Operations Research. His research focuses on the design and implementation of optimization methods and their theoretical foundations. His teaching focuses on global optimization, nonlinear optimization, mixed-integer optimization, convex analysis, parametric optimization, and multiobjective optimization. This book is the English translation of the second edition of ?Grundzüge der Nichtlinearen Optimierung? (Springer, 2021) written in German. The translation was done with the help of artificial intelligence. A subsequent revision was performed by the author to further refine the work and to ensure that the translation is appropriate concerning content and scientific correctness. It may, however, read stylistically different from a conventional translation. 410 0$aMathematics Study Resources,$x2731-3832 ;$v8 606 $aMathematical optimization 606 $aOptimization 606 $aOptimització matemàtica$2thub 606 $aTeories no lineals$2thub 608 $aLlibres electrònics$2thub 615 0$aMathematical optimization. 615 14$aOptimization. 615 7$aOptimització matemàtica 615 7$aTeories no lineals 676 $a519.6 700 $aStein$b Oliver$01425664 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910887876603321 996 $aBasic Concepts of Nonlinear Optimization$94254565 997 $aUNINA