Philip D. Straffin's Books

Game Theory and Strategy

By: Philip D. Straffin

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Game Theory and Strategy

By: Philip D. Straffin

This book deals with applications of game theory in a wide variety of disciplines.

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Page Count

258

Publisher

MAA

Published Date

ISBN 10

0883856379

ISBN 13

9780883856376

Game Theory and Strategy

By: Philip D. Straffin

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This book is an introduction to mathematical game theory, which might better be called the mathematical theory of conflict and cooperation. It is applicable whenever two individuals—or companies, or political parties, or nations—confront situations where the outcome for each depends on the behavior of all. What are the best strategies in such situations? If there are chances of cooperation, with whom should you cooperate, and how should you share the proceeds of cooperation? Since its creation by John von Neumann and Oskar Morgenstern in 1944, game theory has shed new light on business, politics, economics, social psychology, philosophy, and evolutionary biology. In this book, its fundamental ideas are developed with mathematics at the level of high school algebra and applied to many of these fields (see the table of contents). Ideas like “fairness” are presented via axioms that fair allocations should satisfy; thus the reader is introduced to axiomatic thinking as well as to mathematical modeling of actual situations.

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Page Count

256

Publisher

American Mathematical Society

Published Date

ISBN 10

1470471965

ISBN 13

9781470471965

Topology Now!

By: Robert Messer,Philip Straffin

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Topology Now!

By: Robert Messer,Philip Straffin

Topology is a branch of mathematics packed with intriguing concepts, fascinating geometrical objects, and ingenious methods for studying them. The authors have written this textbook to make the material accessible to undergraduate students without requiring extensive prerequisites in upper-level mathematics. The approach is to cultivate the intuitive ideas of continuity, convergence, and connectedness so students can quickly delve into knot theory, the topology of surfaces and three-dimensional manifolds, fixed points and elementary homotopy theory. The fundamental concepts of point-set topology appear at the end of the book when students can see how this level of abstraction provides a sound logical basis for the geometrical ideas that have come before. This organization exposes students to the exciting world of topology now(!) rather than later. Students using this textbook should have some exposure to the geometry of objects in higher-dimensional Euclidean spaces together with an appreciation of precise mathematical definitions and proofs.

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Page Count

254

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470447819

ISBN 13

9781470447816

Book's by Philip D. Straffin

Game Theory and Strategy

Game Theory and Strategy

Game Theory and Strategy

Game Theory and Strategy

Topology Now!

Topology Now!

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