Theory and Decision Library B

Fundamentals of Convex Analysis

Duality, Separation, Representation, and Resolution

Authors: Panik, M.J.

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About this book

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.

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $139.00
price for USA in USD (gross)
  • ISBN 978-94-015-8124-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.99
price for USA in USD
  • ISBN 978-0-7923-2279-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.99
price for USA in USD
  • ISBN 978-90-481-4271-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Fundamentals of Convex Analysis
Book Subtitle
Duality, Separation, Representation, and Resolution
Authors
Series Title
Theory and Decision Library B
Series Volume
24
Copyright
1993
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-015-8124-0
DOI
10.1007/978-94-015-8124-0
Hardcover ISBN
978-0-7923-2279-5
Softcover ISBN
978-90-481-4271-2
Edition Number
1
Number of Pages
XXII, 296
Topics