Philip D. Straffin

Political and related models

The purpose of this four volume series is to make available for college teachers and students samples of important and realistic applications of mathematics which can be covered in undergraduate programs. The goal is to provide illustrations of how modern mathematics is actually employed to solve relevant contemporary problems. Although these independent chapters were prepared primarily for teachers in the general mathematical sciences, they should prove valuable to students, teachers, and research scientists in many of the fields of application as well. Prerequisites for each chapter and suggestions for the teacher are provided. Several of these chapters have been tested in a variety of classroom settings, and all have undergone extensive peer review and revision. Illustrations and exercises are included in most chapters. Some units can be covered in one class, whereas others provide sufficient material for a few weeks of class time. Volume 1 contains 23 chapters and deals with differential equations and, in the last four chapters, problems leading to partial differential equations. Applications are taken from medicine, biology, traffic systems and several other fields. The 14 chapters in Volume 2 are devoted mostly to problems arising in political science, but they also address questions appearing in sociology and ecology. Topics covered include voting systems, weighted voting, proportional representation, coalitional values, and committees. The 14 chapters in Volume 3 emphasize discrete mathematical methods such as those which arise in graph theory, combinatorics, and networks.

Liu Hui and the First Golden Age of Chinese Mathematics

Stable URL:http://links.jstor.org/sici?sici=0025-570X%28199806%2971%3A3%3C163%3ALHATFG%3E2.0.CO%3B2-6Mathematics Magazine is currently published by Mathematical Association of America.Your use of the JSTOR archive indicates your acceptance of JSTORs Terms and Conditions of Use, available athttp://www.jstor.org/about/terms.html. JSTORs Terms and Conditions of Use provides, in part, that unless you have obtainedprior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content inthe JSTOR archive only for your personal, non-commercial use.Please contact the publisher regarding any further use of this work. Publisher contact information may be obtained athttp://www.jstor.org/journals/maa.html.Each copy of any part of a JSTOR transmission must contain the same copyright notice that appears on the screen or printedpage of such transmission.The JSTOR Archive is a trusted digital repository providing for long-term preservation and access to leading academicjournals and scholarly literature from around the world. The Archive is supported by libraries, scholarly societies, publishers,and foundations. It is an initiative of JSTOR, a not-for-profit organization with a mission to help the scholarly community takeadvantage of advances in technology. For more information regarding JSTOR, please contact support@jstor.org.http://www.jstor.orgSun Nov 18 09:41:18 2007

Spatial Models of Power and Voting Outcomes

This article is a brief, subjective guided tour into an area of active, recent work in political science—patial models of voting. We will be concerned with two main questions. The first is how we can measure the power of voters in an asymmetric voting situation. The second is how we can predict or judge the outcome of a voting situation.

The Game of Pathos: 10968

Editorial comment. M. L. Glasser notes that the result can be derived from equation (5.17) on page 28 of V. Kowalenko, N. E. Frankel, M. L. Glasser, and T. Taucher, Generalized Euler-Jacobi Inversion Formula and Asymptotics Beyond all Orders, LMS Lecture Note Series, no. 214 (Cambridge University Press, 1995). In addition, he points out that this reference provides similar expressions where the square root in the exponent is replaced by any rational power.

A First Course in Chaotic Dynamical Systems: Theory and Experiment.@@@A First Course in Chaotic Dynamical Systems Software: Labs 1-6.

* A Mathematical and Historical Tour * Examples of Dynamical Systems * Orbits * Graphical Analysis * Fixed and Periodic Points * Bifurcations * The Quadratic Family * Transition to Chaos * Symbolic Dynamics * Chaos * Sarkovskiis Theorem * The Role of the Critical Orbit * Newtons Method * Fractals * Complex Functions * The Julia Set * The Mandelbrot Set * Further Projects and Experiments