Mathematical Introduction to Linear Programming and Game Theory

Louis Brickman

ISBN 10: 0387969314 / ISBN 13: 9780387969312

Editore: Springer New York, Springer US Jun 1989, 1989

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Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 148 pp. Englisch. Codice articolo 9780387969312

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Titolo: Mathematical Introduction to Linear ...

Casa editrice: Springer New York, Springer US Jun 1989

Data di pubblicazione: 1989

Legatura: Buch

Condizione: Neu

Descrizione articolo

Riassunto:

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.

Contenuti:

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.