03846nam a22004815i 4500 978-3-662-66240-3 DE-He213 20251030113317.0 cr nn 008mamaa 241118s2024 gw | s |||| 0|eng d 9783662662403 978-3-662-66240-3 10.1007/978-3-662-66240-3 doi QA402.5-402.6 PBU bicssc MAT042000 bisacsh PBU thema Stein, Oliver. author. (orcid)0000-0001-9514-6317 https://orcid.org/0000-0001-9514-6317 aut http://id.loc.gov/vocabulary/relators/aut 84533 Basic Concepts of Global Optimization [electronic resource] / by Oliver Stein. 1st ed. 2024. Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2024. X, 183 p. 76 illus. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Mathematics Study Resources, 2731-3832 ; 5 1 Introduction -- 2 Convex Optimization Problems -- 3 Nonconvex Optimization Problems. This 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. Mathematical optimization. 65522 Optimization. 65528 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783662662397 Printed edition: 9783662662410 Mathematics Study Resources, 2731-3832 ; 5 81153 https://doi.org/10.1007/978-3-662-66240-3 ZDB-2-SMA ZDB-2-SXMS 65031 65031