The Mathematics of Politics

Robinson, E. Arthur, Ullman, Daniel H.

The Mathematics of Politics
  • 出版商: CRC
  • 出版日期: 2023-01-21
  • 售價: $2,320
  • 貴賓價: 9.5 折 $2,204
  • 語言: 英文
  • 頁數: 478
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 1032477091
  • ISBN-13: 9781032477091

    • 海外代購書籍(需單獨結帳)

商品描述

It is because mathematics is often misunderstood, it is commonly

believed it has nothing to say about politics. The high school

experience with mathematics, for so many the lasting impression

of the subject, suggests that mathematics is the study of numbers,

operations, formulas, and manipulations of symbols. Those

believing this is the extent of mathematics might conclude

mathematics has no relevance to politics. This book counters this impression.

The second edition of this popular book focuses on mathematical reasoning

about politics. In the search for ideal ways to make certain kinds

of decisions, a lot of wasted effort can be averted if mathematics can determine that

finding such an ideal is actually impossible in the first place.

In the first three parts of this book, we address the following three

political questions:

(1) Is there a good way to choose winners of elections?

(2) Is there a good way to apportion congressional seats?

(3) Is there a good way to make decisions in situations of conflict and

uncertainty?

In the fourth and final part of this book, we examine the Electoral

College system that is used in the United States to select a president.

There we bring together ideas that are introduced in each of the three

earlier parts of the book.

商品描述(中文翻譯)

數學常常被誤解，普遍認為它與政治無關。高中時對數學的經驗，對許多人來說是對這門學科的持久印象，認為數學是關於數字、運算、公式和符號操作的研究。那些認為這就是數學的全部的人可能會得出數學與政治無關的結論。本書打破了這種印象。

這本受歡迎的書籍的第二版專注於數學推理與政治相關的問題。在尋找理想的方式來做出某些決策時，如果數學能夠確定在第一步就無法找到這樣的理想，就可以避免許多浪費的努力。

在本書的前三部分中，我們探討以下三個政治問題：
(1) 是否有一種好的方法來選舉的勝利者？
(2) 是否有一種好的方法來分配國會席位？
(3) 是否有一種好的方法來在衝突和不確定情況下做出決策？

在本書的第四部分，我們研究了美國用於選舉總統的選舉人團制度。在那裡，我們將前三部分中介紹的思想結合在一起。

作者簡介

E. Arthur Robinson, Jr. is a Professor of Mathematics a Professor of mathematics at the George Washington University, where he has been since 1987. Like his coauthor, he was once the department chair. His current research is primarily in the area of dynamical systems theory and discrete geometry. Besides teaching the Mathematics and Politics course, he is teaching a course on Math and Art for the students of the Corcoran School the Arts and Design.

Daniel H. Ullman is a Professor of Mathematics at the George Washington University, where he has been since 1985. He holds a Ph.D. from Berkeley and an A.B. from Harvard. He served as chair of the department of mathematics at GW from 2001 to 2006, as the American Mathematical Society Congressional Fellow from 2006 to 2007, and as Associate Dean for Undergraduate Studies in the arts and sciences at GW from 2011 to 2015. He has been an Associate Editor of the American Mathematical Monthly since 1997. He enjoys playing piano, soccer, and Scrabble.

作者簡介(中文翻譯)

E. Arthur Robinson, Jr. 是喬治華盛頓大學的數學教授，自1987年以來一直在該校任教。與他的合著者一樣，他曾經擔任系主任。他目前的研究主要集中在動力系統理論和離散幾何領域。除了教授數學和政治課程外，他還為Corcoran School of the Arts and Design的學生教授一門關於數學和藝術的課程。

Daniel H. Ullman 是喬治華盛頓大學的數學教授，自1985年以來一直在該校任教。他擁有伯克利大學的博士學位和哈佛大學的學士學位。他曾擔任喬治華盛頓大學數學系的系主任（2001年至2006年），美國數學學會國會研究員（2006年至2007年），以及喬治華盛頓大學文理學院本科學生事務副院長（2011年至2015年）。自1997年以來，他一直擔任《美國數學月刊》的副編輯。他喜歡彈鋼琴、踢足球和玩Scrabble。

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