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Science/Engineering Mathematical Introduction to Linear Programming and Game Theory

Posted on 2010-03-16




Name:Science/Engineering Mathematical Introduction to Linear Programming and Game Theory
ASIN/ISBN:0387969314
Language:English
File size:1 Mb
Publish Date: 1998
ISBN: 0387969314
Pages: 130 pages
File Size: 1 MB
Other Info: Springer; Djvu
   Science/Engineering Mathematical Introduction to Linear Programming and Game Theory

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Louis Brickman, "Mathematical Introduction to Linear Programming and Game Theory"

Mathematical elegance is a constant theme in this treatment of linear programming and matrix games. Condensed tableaus, minimal in size and notation, are employed for the simplex algorithm. In the context of these tableaus the beautiful termination theorem of RG 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.

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