Mathematical Introduction to Linear Programming and Game Theory (Undergraduate Texts in Mathematics)

Brickman, Louis

ISBN 10: 0387969314 / ISBN 13: 9780387969312

Published by Springer, 1989

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Bibliographic Details

• Title: Mathematical Introduction to Linear Programming and Game Theory (Undergraduate Texts in Mathematics)
• Publisher: Springer
• Publication Date: 1989
• Language: English
• ISBN 10: 0387969314
• ISBN 13: 9780387969312
• Binding: Hardcover
• Condition: New

About this title

Synopsis

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.

From the Back Cover

The principal objectives of this book are to define linear programming and its usefulness, to explain the operation and elementary theory of the simplex algorithm, to present duality theory in a simple fashion, and to give a well motivated account of matrix games.