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Titlebook: Mathematical Introduction to Linear Programming and Game Theory; Louis Brickman Textbook 1989 Springer Science+Business Media New York 198

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发表于 2025-3-21 17:31:47 | 显示全部楼层 |阅读模式
书目名称Mathematical Introduction to Linear Programming and Game Theory
编辑Louis Brickman
视频video
丛书名称Undergraduate Texts in Mathematics
图书封面Titlebook: Mathematical Introduction to Linear Programming and Game Theory;  Louis Brickman Textbook 1989 Springer Science+Business Media New York 198
描述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.
出版日期Textbook 1989
关键词DEX; Matrix; Tableau; boundary element method; design; duality; form; function; functions; game theory; games;
版次1
doihttps://doi.org/10.1007/978-1-4612-4540-7
isbn_softcover978-1-4612-8869-5
isbn_ebook978-1-4612-4540-7Series ISSN 0172-6056 Series E-ISSN 2197-5604
issn_series 0172-6056
copyrightSpringer Science+Business Media New York 1989
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The Simplex Algorithm,d has since been extremely and increasingly useful. Indeed, virtually all practical LP problems are solved by SIMPLEX or some variation thereof. The main purposes of this chapter are to define the type of problem to which SIMPLEX is directly applicable, to set forth the steps of the algorithm, and to explain the underlying theory.
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Matrix Games,three. Then the two players simultaneously display their choices. If the sum of the two selected cards is even, Rose wins that many dollars from Colin; if the sum is odd, Colin wins that amount from Rose. The following diagram summarizes these rules ..
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0172-6056 otation, 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 int
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Textbook 1989re 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 definiti
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Undergraduate Texts in Mathematicshttp://image.papertrans.cn/m/image/626184.jpg
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Dual LP Problems,ly and make contact with dual tableaux afterward. The ultimate point (roughly stated) is that solving an LP problem actually solves . LP problems. The principal ideas and results of this chapter (and the next one as well) have origins in the work of John von Neumann (1903–1957).
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978-1-4612-8869-5Springer Science+Business Media New York 1989
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Mathematical Introduction to Linear Programming and Game Theory978-1-4612-4540-7Series ISSN 0172-6056 Series E-ISSN 2197-5604
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