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Mathematical Introduction to Linear Programming and Game Theory

  • Textbook
  • © 1989

Overview

Authors:
  1. Louis Brickman

    1. Department of Mathematics and Statistics, State University of New York at Albany, Albany, USA

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Part of the book series: Undergraduate Texts in Mathematics (UTM)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xi
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  2. Simultaneous Linear Equations

    • Louis Brickman
    Pages 1-15

  3. Linear Programming Foundations

    • Louis Brickman
    Pages 16-31

  4. The Simplex Algorithm

    • Louis Brickman
    Pages 32-61

  5. Dual Tableaux and Two-Phase Algorithms

    • Louis Brickman
    Pages 62-75

  6. Dual LP Problems

    • Louis Brickman
    Pages 76-94

  7. Matrix Games

    • Louis Brickman
    Pages 95-123

  8. Back Matter

    Pages 125-132
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Keywords

About this book

Mathematical elegance is a constant theme in this treatment of linear programming and matrix games. Condensed tableau, minimal in size and notation, are employed for the simplex algorithm. In the context of these tableau the beautiful termination theorem of R.G. Bland is proven more simply than heretofore, and the important duality theorem becomes almost obvious. Examples and extensive discussions throughout the book provide insight into definitions, theorems, and applications. There is considerable informal discussion on how best to play matrix games. The book is designed for a one-semester undergraduate course. Readers will need a degree of mathematical sophistication and general tools such as sets, functions, and summation notation. No single college course is a prerequisite, but most students will do better with some prior college mathematics. This thorough introduction to linear programming and game theory will impart a deep understanding of the material and also increase the student's mathematical maturity.

Authors and Affiliations

  • Department of Mathematics and Statistics, State University of New York at Albany, Albany, USA

    Louis Brickman

Bibliographic Information

  • Book Title: Mathematical Introduction to Linear Programming and Game Theory

  • Authors: Louis Brickman

  • Series Title: Undergraduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-4540-7

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1989

  • Hardcover ISBN: 978-0-387-96931-2Published: 23 June 1989

  • Softcover ISBN: 978-1-4612-8869-5Published: 01 May 2013

  • eBook ISBN: 978-1-4612-4540-7Published: 06 December 2012

  • Series ISSN: 0172-6056

  • Series E-ISSN: 2197-5604

  • Edition Number: 1

  • Number of Pages: XII, 132

  • Topics: Economic Theory/Quantitative Economics/Mathematical Methods

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