Mathematics and politics : strategy, voting, power and proof
著者
書誌事項
Mathematics and politics : strategy, voting, power and proof
Springer, c2008
2nd ed
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注記
Includes bibliographical references (p. ([354]-359) and index
内容説明・目次
内容説明
As a text for an undergraduate mathematics course for nonmajors, Mathematics and Politics requires no prerequisites in either area while the underlying philosophy involves minimizing algebraic computations and focusing instead on some conceptual aspects of mathematics in the context of important real-world questions in political science.
Five major topics are covered including a model of escalation, game theoretic models of international conflict, yes-no voting systems, political power, and social choice. Each topic is discussed in an introductory chapter and revisited in more depth in a later chapter. This new edition has added co-author, Allison Pacelli, and two new chapters on "Fairness" and "More Fairness." The examples and the exercises have been updated and enhanced throughout.
Reviews from first edition:
This book is well written and has much math of interest. While it is pitched at a non-math audience there is material here that will be new and interesting to the readers...
-Sigact News
For mathematicians, Taylor's book shows how the social sciences make use of mathematical thinking, in the form of axiomatic systems, and offers a chance to teach this kind of thinking to our students.
- The College Mathematics Journal
The writing is crisp and the sense of excitement about learning mathematics is seductive. The political conflict examples are well thought out and clear.
-Michael C. Munger
目次
Social Choice.- Yes-No Voting.- Political Power.- Conflict.- Fairness.- Escalation.- More Social Choice.- More Yes-No Voting.- More Political Power.- More Conflict.- More Fairness.- More Escalation.
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