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Textbooks in Mathematical Sciences

Mathematics and Politics

Strategy, Voting, Power and Proof

Authors: Taylor, Alan D.

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About this Textbook

interest in a particular application, however, often depends on his or hergeneralinterestintheareainwhichtheapplicationistakingplace. My experience at Union College has been that there is a real advan­ tage in having students enter the course knowing thatvirtually all the applications will focus on a single discipline-in this case, political science. The level ofpresentation assumes no college-level mathematicalor social science prerequisites. The philosophy underlying the approach we have taken in this book is based on the sense that we (mathemati­ cians)havetendedtomaketwoerrorsinteachingnonsciencestudents: wehaveoverestimatedtheircomfortwithcomputationalmaterial,and we have underestimated their ability to handle conceptual material. Thus, while there is very little algebra (and certainly no calculus) in our presentation, we have included numerous logical arguments that students in the humanitiesand the socialscienceswill find accessible, but not trivial. The book contains five main topics: a m.odel of escalation, game­ theoretic models of international conflict, yes-no voting systems, political power, and social choice. The first partofthe text is made up of a single chapter devoted to each topic. The second part of the text revisits each topic, again with a single chapter devoted to each. The organizationofthe bookisbasedonpedagogicalconsiderations, with the material becoming somewhat more sophisticated as one moves through the ten chapters. On the other hand, within any given chap­ terthere is little reliance on material from earlierchapters, except for those devoted to the same topic.

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $74.99
price for USA (gross)
  • ISBN 978-1-4612-2512-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA
  • ISBN 978-0-387-94391-6
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Online orders shipping within 2-3 days.

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Bibliographic Information

Bibliographic Information
Book Title
Mathematics and Politics
Book Subtitle
Strategy, Voting, Power and Proof
Authors
Series Title
Textbooks in Mathematical Sciences
Copyright
1995
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York, Inc.
eBook ISBN
978-1-4612-2512-6
DOI
10.1007/978-1-4612-2512-6
Softcover ISBN
978-0-387-94391-6
Series ISSN
1431-9381
Edition Number
1
Number of Pages
XIV, 284
Topics

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