Giorgio Giorgi, Bienvenido Jiménez, Vicente Novo

Gebundenes Buch

Basic Mathematical Programming Theory

Beschreibung

The subject of (static) optimization, also called mathematical programming, is one of the most important and widespread branches of modern mathematics, serving as a cornerstone of such scientific subjects as economic analysis, operations research, management sciences, engineering, chemistry, physics, statistics, computer science, biology, and social sciences. This book presents a unified, progressive treatment of the basic mathematical tools of mathematical programming theory. The authors expose said tools, along with results concerning the most common mathematical programming problems formulated in a finite-dimensional setting, forming the basis for further study of the basic questions on the various algorithmic methods and the most important particular applications of mathematical programming problems. This book assumes no previous experience in optimization theory, and the treatment of the various topics is largely self-contained. Prerequisites are the basic tools of differential calculus for functions of several variables, the basic notions of topology and of linear algebra, and the basic mathematical notions and theoretical background used in analyzing optimization problems. The book is aimed at both undergraduate and postgraduate students interested in mathematical programming problems but also those professionals who use optimization methods and wish to learn the more theoretical aspects of these questions.

Autor

Prof. Giorgio Giorgi teaches Mathematics at the Faculty of Economics of the University of Pavia. His research interests essentially focus on mathematical economics, generalized convexity, and optimization. Bienvenido Jiménez and Vicente Novo are professors of Applied Mathematics at the National University of Distance Education, Madrid, Spain. Their research focus on smooth and nonsmooth optimization, mathematical programming and multiobjective, vector and set optimization.

Produktdetails

• International Series in Operations Research & Management Science 344
• Verlag: Springer / Springer International Publishing / Springer, Berlin
• Artikelnr. des Verlages: 978-3-031-30323-4
• 2023
• Seitenzahl: 448
• Erscheinungstermin: 19. Juli 2023
• Englisch
• Abmessung: 241mm x 160mm x 30mm
• Gewicht: 834g
• ISBN-13: 9783031303234
• ISBN-10: 3031303237
• Artikelnr.: 67570599

Rezensionen

"This book serves as a comprehensive and indispensable tool for Ph.D. students and young researchers in the Field of nonlinear programming. ... it offers a substantial coverage of theoretical results concerning optimality conditions in nonlinear programming. Certain chapters are particularly valuable as teaching materials for advanced master's courses." (Giovanni Fasano, Mathematical Reviews, Decemeber, 2024)