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Fundamentals of Convex Analysis

106,99 €*

Sofort verfügbar, Lieferzeit: 1-3 Tage

Produktnummer: 180e90d32e12d045179d362c3564a9bc86
Autor: Panik, M.J.
Themengebiete: Complementary Slackness Grad calculus duality economics equilibrium general equilibrium linear algebra mathematical analysis mathematics
Veröffentlichungsdatum: 30.06.1993
EAN: 9780792322795
Sprache: Englisch
Seitenzahl: 296
Produktart: Gebunden
Verlag: Springer Netherland
Untertitel: Duality, Separation, Representation, and Resolution
Produktinformationen "Fundamentals of Convex Analysis"
Fundamentals of Convex Analysis offers an in-depth look at some of the fundamental themes covered within an area of mathematical analysis called convex analysis. In particular, it explores the topics of duality, separation, representation, and resolution. The work is intended for students of economics, management science, engineering, and mathematics who need exposure to the mathematical foundations of matrix games, optimization, and general equilibrium analysis. It is written at the advanced undergraduate to beginning graduate level and the only formal preparation required is some familiarity with set operations and with linear algebra and matrix theory. Fundamentals ofConvex Analysis is self-contained in that a brief review of the essentials of these tool areas is provided in Chapter 1. Chapter exercises are also provided. Topics covered include: convex sets and their properties; separation and support theorems; theorems of the alternative; convex cones; dual homogeneous systems; basic solutions and complementary slackness; extreme points and directions; resolution and representation of polyhedra; simplicial topology; and fixed point theorems, among others. A strength of this work is how these topics are developed in a fully integrated fashion.

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