Название: Basic Mathematical Programming Theory
Автор: Giorgio Giorgi, Bienvenido Jimenez, Vicente Novo
Издательство: Springer
Год: 2023
Страниц: 443
Язык: английский
Формат: pdf (true), epub
Размер: 33.5 MB

It is quite superfluous to stress that mathematical optimization is a cornerstone of not only several scientific subjects, such as Economic Analysis, Operations Research, Management Sciences, Engineering, Chemistry, Physics, Statistics, Computer Science, but also Biology and other Social Sciences. The subject of (static) optimization, called also mathematical programming, is, besides its various applications, one of the most important and wide branches of modern mathematics, with deep and beautiful theoretical results. 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.