The Mathematics of Politics
暫譯: 政治數學
Robinson, E. Arthur, Ullman, Daniel H.
- 出版商: CRC
- 出版日期: 2016-11-16
- 售價: $3,630
- 貴賓價: 9.5 折 $3,449
- 語言: 英文
- 頁數: 459
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 1498798861
- ISBN-13: 9781498798860
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相關主題
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，因此人們普遍認為它與政治無關。對於許多人來說，高中時期的數學經驗是對這門學科的持久印象，這使得數學被視為數字、運算、公式和符號操作的研究。那些相信這就是數學全部的人可能會得出結論，認為數學與政治無關。本書則反駁了這一印象。
這本受歡迎的書籍的第二版專注於有關政治的數學推理。在尋找理想的決策方式時，如果數學能夠確定找到這樣的理想實際上是不可能的，那麼許多浪費的努力就可以避免。
在本書的前三部分中，我們探討以下三個政治問題：
(1) 有沒有好的方法來選擇選舉的贏家？
(2) 有沒有好的方法來分配國會席位？
(3) 在衝突和不確定的情況下，有沒有好的決策方法？
在本書的第四部分也是最後一部分中，我們檢視美國用來選舉總統的選舉人團系統。在這裡，我們將在書的前三部分中介紹的觀念結合在一起。
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，他曾擔任過系主任。他目前的研究主要集中在動態系統理論和離散幾何學領域。除了教授數學與政治課程外，他還為科爾科倫藝術與設計學院的學生教授數學與藝術課程。
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。他擁有加州大學伯克利分校的博士學位和哈佛大學的學士學位。他曾於2001年至2006年擔任喬治華盛頓大學數學系主任，2006年至2007年擔任美國數學學會國會研究員，並於2011年至2015年擔任喬治華盛頓大學文理學院本科研究副院長。他自1997年以來一直擔任《美國數學月刊》的副編輯。他喜歡彈鋼琴、踢足球和玩拼字遊戲。
