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＜電子ブック＞
Mathematical Introduction to Linear Programming and Game Theory / by Louis Brickman
(Undergraduate Texts in Mathematics. ISSN:21975604)

版	1st ed. 1989.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	1989
本文言語	英語
大きさ	XII, 132 p : online resource
著者標目	*Brickman, Louis author SpringerLink (Online service)
件　名	LCSH:Econometrics FREE:Quantitative Economics
一般注記	1 Simultaneous Linear Equations -- 2 Linear Programming Foundations -- 3 The Simplex Algorithm -- 4 Dual Tableaux and Two-Phase Algorithms -- 5 Dual LP Problems -- 6 Matrix Games 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 HTTP:URL=https://doi.org/10.1007/978-1-4612-4540-7

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