Philip 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

Topology Now!

By: Robert Messer,Philip Straffin

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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

Game Theory and Strategy

By: Philip D. Straffin

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Game Theory and Strategy

By: Philip D. Straffin

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

Cedar Grove

By: Philip Edward Jaeger

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Cedar Grove

By: Philip Edward Jaeger

Cedar Grove is situated in the Peckman River Valley between the First and Second Watchung Mountains. Located only fifteen miles west of New York City, the area remained a farming community until well into the twentieth century. While generally focusing on the town in the early 1900s, Cedar Grove also chronicles significant events and personalities through the end of the millennium. Best known for being the home of the Meadowbrook and its nationwide radio broadcasts, Cedar Grove is also the birthplace of other historical events. The crossword puzzle, a source of pleasure for tens of millions, was invented by Cedar Grove resident Arthur Wynne in 1913. Wynne's first puzzle is included for those who would like to solve it. Allen B. Du Mont, an electronics pioneer, conducted research on cathode ray tubes in the garage of his Cedar Grove home during the early 1930s and later created a television network bearing his name.Although the Meadowbrook is remembered by many, few realize that during World War II enemy propaganda attempted to demoralize our fighting forces by falsely proclaiming that the famous roadhouse had burned down. Such was its importance to America's youth in those years.

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Page Count

132

Publisher

Arcadia Publishing

Published Date

ISBN 10

0738504521

ISBN 13

9780738504520

The Mathematical Experience, Study Edition

By: Philip Davis,Reuben Hersh,Elena Anne Marchisotto

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The Mathematical Experience, Study Edition

By: Philip Davis,Reuben Hersh,Elena Anne Marchisotto

Winner of the 1983 National Book Award! "...a perfectly marvelous book about the Queen of Sciences, from which one will get a real feeling for what mathematicians do and who they are. The exposition is clear and full of wit and humor..." - The New Yorker (1983 National Book Award edition) Mathematics has been a human activity for thousands of years. Yet only a few people from the vast population of users are professional mathematicians, who create, teach, foster, and apply it in a variety of situations. The authors of this book believe that it should be possible for these professional mathematicians to explain to non-professionals what they do, what they say they are doing, and why the world should support them at it. They also believe that mathematics should be taught to non-mathematics majors in such a way as to instill an appreciation of the power and beauty of mathematics. Many people from around the world have told the authors that they have done precisely that with the first edition and they have encouraged publication of this revised edition complete with exercises for helping students to demonstrate their understanding. This edition of the book should find a new generation of general readers and students who would like to know what mathematics is all about. It will prove invaluable as a course text for a general mathematics appreciation course, one in which the student can combine an appreciation for the esthetics with some satisfying and revealing applications. The text is ideal for 1) a GE course for Liberal Arts students 2) a Capstone course for perspective teachers 3) a writing course for mathematics teachers. A wealth of customizable online course materials for the book can be obtained from Elena Anne Marchisotto (elena.marchisotto@csun.edu) upon request.

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Page Count

522

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817682953

ISBN 13

9780817682958

The Heart of Calculus

Explorations and Applications

By: Philip M. Anselone,John W. Lee

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The Heart of Calculus

Explorations and Applications

By: Philip M. Anselone,John W. Lee

This book contains enrichment material for courses in first and second year calculus, differential equations, modeling, and introductory real analysis. It targets talented students who seek a deeper understanding of calculus and its applications. The book can be used in honors courses, undergraduate seminars, independent study, capstone courses taking a fresh look at calculus, and summer enrichment programs. The book develops topics from novel and/or unifying perspectives. Hence, it is also a valuable resource for graduate teaching assistants developing their academic and pedagogical skills and for seasoned veterans who appreciate fresh perspectives. The explorations, problems, and projects in the book impart a deeper understanding of and facility with the mathematical reasoning that lies at the heart of calculus and conveys something of its beauty and depth. A high level of rigor is maintained. However, with few exceptions, proofs depend only on tools from calculus and earlier. Analytical arguments are carefully structured to avoid epsilons and deltas. Geometric and/or physical reasoning motivates challenging analytical discussions. Consequently, the presentation is friendly and accessible to students at various levels of mathematical maturity. Logical reasoning skills at the level of proof in Euclidean geometry suffice for a productive use of the book.

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