Alan D. Taylor, Allison M. Pacelli

Mathematics and Politics (eBook, PDF)

Strategy, Voting, Power, and Proof

• Format: PDF

Produktbeschreibung

Mathematics and Politics requires no prerequisites in either subject. The underlying philosophy involves minimizing algebraic computations while focusing on the conceptual aspects of mathematics in the context of real-world questions in political science. This new addition has an added co-author, Allison Pacelli, and covers six major topics: social choice, yes-no voting systems, political power, game-theoretic models of international conflict, fairness, and escalation. In addition to having two new chapters (treating apportionment and conflict resolution), the text has been extensively reorganized and the number of exercises increased to over 300.

EXCERPTS FROM REVIEWS OF THE FIRST EDITION

"Taylor has done a remarkable job of showing the power of deductive reasoning in ... the strategic choices actors make in conflict situations ... a penetrating analysis of both real-life and hypothetical situations."

-- Steven Brams, New York University

Alan Taylor's book is carefully crafted. He is ever aware of his audience, but relentlessly presses the beginning student to understand more and more."

-- Samuel Merrill III, American Mathematical Monthly

This book is a unique and valuable source ... Coverage is thorough and extensive; ideas are explained clearly and at an appropriate mathematical level."

-- Ed Packel, Lake Forest College

"... Mathematics and Politics is a nearly perfect solution, either for classes or for the serious professional who wants to retool. ... The writing is crisp, and the sense of excitement about learning mathematics is seductive."

-- Michael Munger, Chance

" I like this book. It's nice mathematics with serious applications."

-- John Ewing, Indiana University

"Now we have, in Alan Taylor's book, an introduction to these ideas that is delightfully lucid and requiresalmost no mathematical prerequisites."

-- Phillip D. Straffin, College Mathematics Journal

"[The book] breaks new ground and could stand as the definitive undergraduate textbook in this area for quite some time."

-- Stan Wagon, Macalester College

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 364
• Erscheinungstermin: 16. September 2008
• Englisch
• ISBN-13: 9780387776453
• Artikelnr.: 43727969

Autorenporträt

The author is a recognized expert in applying ideas in modern mathematics to problems in international conflict resolution. Intended for non-specialists and requiring only introductory mathematics, the quantitative methods are presented in strongly applied settings for political science and the social sciences.

Inhaltsangabe

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.

Rezensionen

From the reviews of the second edition:

"Mathematics and Politics is the fruit of undergraduate mathematics courses taught by the authors. The primary audience is political and social science majors. ... The writing style is appropriate for the intended audience with the understanding that the students/readers have some familiarity with political science economics or sociology. ... Overall the book serves as a useful quantitative introduction to several of the covered topics. ... Faculty in the social sciences should strongly consider Mathematics and Politics as a resource/reference." (J. Douglas Barrett, Technometrics, Vol. 53 (1), February, 2011)

"It is intended to serve as a text for social science and humanities students that will highlight the power and utility of mathematics. ... if you are considering a course as described above, this textbook deserves to be the one that will entice you into taking the plunge. And if you simply want to educate yourself in areas of social science mathematics that have only recently started to get the attention they deserve, Mathematics and Politics deserves your strong consideration." (Edward W. Packel, SIAM Review, Vol. 52 (4), 2010)

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