國立虎尾科技大學 |

Basic concepts of nonlinear optimization

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Basic concepts of nonlinear optimization/ by Oliver Stein.
Author:	Stein, Oliver.
Published:	Berlin, Heidelberg :Springer Berlin Heidelberg : : 2024.,
Description:	x, 214 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
Subject:	Nonlinear theories. -
Online resource:	https://doi.org/10.1007/978-3-662-69741-2
ISBN:	9783662697412

Basic concepts of nonlinear optimization
Stein, Oliver.

Basic concepts of nonlinear optimization[electronic resource] /by Oliver Stein. - Berlin, Heidelberg :Springer Berlin Heidelberg :2024. - x, 214 p. :ill., digital ;24 cm. - Mathematics study resources,v. 82731-3832 ;. - Mathematics study resources ;4..

Introduction -- Unconstrained Optimization -- Constrained Optimization.

This 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.

ISBN: 9783662697412

Standard No.: 10.1007/978-3-662-69741-2doiSubjects--Topical Terms:

527937
Nonlinear theories.

LC Class. No.: QA427

Dewey Class. No.: 515.7248

Basic concepts of nonlinear optimization
LDR:03099nam a2200349 a 4500 001 1154930
003 DE-He213
005 20240917130559.0
006 m d
007 cr nn 008maaau
008 250619s2024 gw s 0 eng d
020 $a 9783662697412 $q (electronic bk.)
020 $a 9783662697405 $q (paper)
024 7 $a 10.1007/978-3-662-69741-2 $2 doi
035 $a 978-3-662-69741-2
040 $a GP $c GP
041 1 $a eng $h ger
050 4 $a QA427
072 7 $a PBU $2 bicssc
072 7 $a MAT042000 $2 bisacsh
072 7 $a PBU $2 thema
082 0 4 $a 515.7248 $2 23
090 $a QA427 $b .S819 2024
100 1 $a Stein, Oliver. $e author. $3 1284365
240 1 0 $a Grundzüge der Nichtlinearen Optimierung. $l English
245 1 0 $a Basic concepts of nonlinear optimization $h [electronic resource] / $c by Oliver Stein.
260 $a Berlin, Heidelberg : $c 2024. $b Springer Berlin Heidelberg : $b Imprint: Springer,
300 $a x, 214 p. : $b ill., digital ; $c 24 cm.
490 1 $a Mathematics study resources, $x 2731-3832 ; $v v. 8
505 0 $a Introduction -- Unconstrained Optimization -- Constrained Optimization.
520 $a This 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.
650 0 $a Nonlinear theories. $3 527937
650 0 $a Mathematical optimization. $3 527675
650 1 4 $a Optimization. $3 669174
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a Mathematics study resources ; $v 4. $3 1408225
856 4 0 $u https://doi.org/10.1007/978-3-662-69741-2
950 $a Mathematics and Statistics (SpringerNature-11649)