Description: Fundamentals of Convex Analysis Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Duality, Separation, Representation, and Resolution Author(s): M.J. Panik Format: Paperback Publisher: Springer, Netherlands Imprint: Springer ISBN-13: 9789048142712, 978-9048142712 Synopsis 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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Book Title: Fundamentals of Convex Analysis
Item Height: 244 mm
Item Width: 170 mm
Series: Theory and Decision Library B
Author: M.J. Panik
Publication Name: Fundamentals of Convex Analysis: Duality, Separation, Representation, and Resolution
Format: Paperback
Language: English
Publisher: Springer
Subject: Economics, Mathematics
Publication Year: 2010
Type: Textbook
Item Weight: 553 g
Number of Pages: 296 Pages
