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Books > Science & Mathematics > Mathematics > Mathematical foundations > Set theory
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Fundamentals of Convex Analysis - Duality, Separation, Representation, and Resolution (Hardcover, 1993 ed.)
Loot Price: R3,156
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Fundamentals of Convex Analysis - Duality, Separation, Representation, and Resolution (Hardcover, 1993 ed.)
Series: Theory and Decision Library B, 24
Expected to ship within 10 - 15 working days
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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 of Convex 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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