Mathematics in Politics and Governance
暫譯: 政治與治理中的數學

Aragón-Artacho, Francisco J., Goberna, Miguel A.

Mathematics in Politics and Governance
  • 出版商: Springer
  • 出版日期: 2025-04-06
  • 售價: $2,280
  • 貴賓價: 9.5 折 $2,166
  • 語言: 英文
  • 頁數: 220
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 303152778X
  • ISBN-13: 9783031527784
  • 相關分類: 機率統計學 Probability-and-statistics

    • 海外代購書籍(需單獨結帳)

相關主題

商品描述

This book presents the mathematical tools that politicians use to make rational decisions about health, education, culture, economy, finance, transportation, and national defense for their citizens. The selection of topics addressed is based on the experiences of four veteran politicians who have doctorates or master's degrees in mathematics. The exposition also considers the mathematical tools used by politicians to capture votes or optimize their impact on the design of electoral districts, i.e., gerrymandering, without forgetting the mathematics applied to parliamentary activity and political science.

Aimed at a general educated readership, a basic knowledge of mathematics is the only requisite to understanding most of the book. Certain sections, denoted in the book with a star, contain more advanced material and require some knowledge of undergraduate math. A later chapter is dedicated to applications and techniques of machine learning and the final chapter discusses a variety of cases where political decisions have affected mathematical development. Readers gravitating towards this book are those who are curious about the history of mathematics, including optimizers and mathematicians who would like to learn more about the historical roots of their discipline. There will also be strong appeal to mathematically-oriented economists, political scientists, and people generally interested in mathematics.

Mathematics is - or it should be! - an important part of our culture. The impact of mathematics is sometimes silent, but a powerful one. The authors of this book did an incredible work in digging out areas of mathematical reasoning that pervades social and political life. Reading this book, we will all enrich our vision of mathematics' value for society.

(Nuno Crato, Professor of Applied Mathematics, University of Lisbon, former minister of Education and Science of Portugal 2011-2015)

This monograph shows in an impressive way that mathematics can be very helpful in making and evaluating political decisions and that it is indispensable in the progressive penetration of all areas of society with scientific methods. This also includes politics. Not everything in politics can be justified or related to mathematics, but politics should not be made in contradiction to mathematical truths. For me, this is a central message of this publication.

(Johanna Wanka, Professor of Applied Mathematics, Merseburg University of Applied Sciences, former Minister of Education and Research, Germany 2013-2018)

商品描述(中文翻譯)

這本書介紹了政治家用來為其公民在健康、教育、文化、經濟、金融、交通和國防等方面做出理性決策的數學工具。所選擇的主題基於四位擁有數學博士或碩士學位的資深政治家的經驗。書中還考慮了政治家用來獲取選票或優化其在選舉區劃設計上的影響力的數學工具，即選區劃分（gerrymandering），同時也不忘記應用於議會活動和政治科學的數學。

本書面向一般受過教育的讀者，理解大部分內容只需具備基本的數學知識。書中某些部分以星號標示，包含更高級的材料，並需要一些本科數學的知識。後面的章節專門討論機器學習的應用和技術，最後一章則探討了政治決策如何影響數學發展的各種案例。對這本書感興趣的讀者，通常對數學的歷史感到好奇，包括優化者和數學家，他們希望了解自己學科的歷史根源。此外，對數學導向的經濟學家、政治科學家以及一般對數學感興趣的人也會有很大的吸引力。

數學是——或者應該是！——我們文化中重要的一部分。數學的影響有時是靜默的，但卻是強大的。本書的作者在挖掘滲透社會和政治生活的數學推理領域方面做了令人難以置信的工作。閱讀這本書，我們都將豐富對數學對社會價值的視野。

（努諾·克拉托，里斯本大學應用數學教授，2011-2015年葡萄牙教育與科學部前部長）

這本專著以令人印象深刻的方式展示了數學在制定和評估政治決策中的重要性，以及它在科學方法逐步滲透社會各個領域中的不可或缺性，這也包括政治。並非所有政治行為都能用數學來證明或關聯，但政治不應該與數學真理相矛盾。對我來說，這是本出版物的核心信息。

（約翰娜·萬卡，梅爾斯堡應用科學大學應用數學教授，2013-2018年德國教育與研究部前部長）

作者簡介

Francisco J. Aragón-Artacho is an associate professor of statistics and operations research at the University of Alicante, Spain. After obtaining a PhD in Mathematics at the University of Murcia in 2007, he worked as an analyst for a private business company in Madrid for nearly a year. Subsequently, he held several postdoctoral positions at the University of Alicante, University of Newcastle (Australia) and the Luxembourg Centre for Systems Biomedicine. His main research topics are in the area of convex and set-valued analysis, with special emphasis in the development of optimization and feasibility algorithms. He has published 39 research papers and the textbook Nonlinear Optimization (Springer, 2019), coauthored by M.A Goberna, M.A. López, and M.M.L. Rodríguez. Possibly his best-known work is Walking on real numbers (Math. Intelligencer 35, 2013), coauthored with D.H. Bailey, J.M Borwein and P.B. Borwein, which features a massive image generated on the first100 billion base-4 digits of π. He has served as Associate Editor for the journals Optimization Letters (since 2022) and Fixed Point Theory (since 2021).

Miguel A. Goberna is an emeritus professor of statistics and operations research at the University of Alicante, Spain. He received a PhD in Mathematics in 1979 from the University of Valencia. His main research areas appear in the title, Geometry, Optimization, and Convex Analysis, of the Special Issue of the Springer journal Set-Valued and Variational Analysis in occasion of his 70th anniversary (Volume 30, No. 4, December 2022). He has published more than 150 research papers, but he is better known by his monographs Linear Semi-Infinite Optimization (J. Wiley, 1998), Post-Optimal Analysis in Linear Semi-Infinite Optimization (Springer, 2014) and Even Convexity and Optimization (Springer, 2020), and by his textbooks Algebra and Fundamentals (Ariel, 2000, in Spanish), LinearOptimization (McGraw-Hill, 2004, in Spanish) and Nonlinear Optimization (Springer, 2019). He has also published numerous articles on mathematics and/or politics, history of mathematics, education, etc. He has been Editor-in-Chief of the operations research Springer journal TOP between 2013 and 2016.

作者簡介(中文翻譯)

Francisco J. Aragón-Artacho 是西班牙阿利坎特大學的統計學與運籌學副教授。他於2007年在穆爾西亞大學獲得數學博士學位，隨後在馬德里的一家私營企業擔任分析師近一年。之後，他在阿利坎特大學、澳大利亞紐卡索大學及盧森堡系統生物醫學中心擔任多個博士後職位。他的主要研究主題集中在凸分析和集合值分析領域，特別強調優化和可行性算法的開發。他已發表39篇研究論文，並合著了教科書《非線性優化》（Springer, 2019），合著者包括 M.A Goberna、M.A. López 和 M.M.L. Rodríguez。他最著名的作品可能是《在實數上行走》（Math. Intelligencer 35, 2013），與 D.H. Bailey、J.M Borwein 和 P.B. Borwein 共同撰寫，該作品展示了一個基於前1000億個4進位數字生成的巨大圖像。他自2022年起擔任期刊《Optimization Letters》的副編輯，並自2021年起擔任《Fixed Point Theory》的副編輯。

Miguel A. Goberna 是西班牙阿利坎特大學的名譽教授，專攻統計學與運籌學。他於1979年在瓦倫西亞大學獲得數學博士學位。他的主要研究領域在於春季期刊《集合值與變分分析》特刊的標題中出現，該特刊是為了慶祝他的70週年（第30卷，第4期，2022年12月）。他已發表超過150篇研究論文，但更為人所知的是他的專著《線性半無窮優化》（J. Wiley, 1998）、《線性半無窮優化中的後最優分析》（Springer, 2014）和《偶凸性與優化》（Springer, 2020），以及他的教科書《代數與基礎》（Ariel, 2000，西班牙文）、《線性優化》（McGraw-Hill, 2004，西班牙文）和《非線性優化》（Springer, 2019）。他還發表了許多有關數學和/或政治、數學史、教育等方面的文章。他曾於2013年至2016年間擔任運籌學Springer期刊《TOP》的主編。

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