Mathematics in Politics and Governance (政治與治理中的數學)
Aragón-Artacho, Francisco J., Goberna, Miguel A.
- 出版商: Springer
- 出版日期: 2024-04-06
- 售價: $2,190
- 貴賓價: 9.5 折 $2,081
- 語言: 英文
- 頁數: 220
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3031527755
- ISBN-13: 9783031527753
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相關主題
商品描述
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在做出關於健康、教育、文化、經濟、金融、交通和國防等方面的理性決策時所使用的數學工具。所選擇的主題是基於四位具有數學博士學位或碩士學位的資深政治家的經驗。本書還考慮了政治家使用的數學工具，以捕捉選票或優化他們對選區劃分設計的影響，即選區劃分，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，只需要基本的數學知識就能理解大部分內容。書中標有星號的某些部分包含更高級的材料，需要一些本科數學知識。後面的一章專門介紹了機器學習的應用和技術，最後一章討論了政治決策對數學發展產生影響的各種案例。對於對數學歷史感興趣的人，包括優化者和數學家想要了解他們學科的歷史根源的人，這本書具有很大的吸引力。同時，對於數學導向的經濟學家、政治科學家和對數學感興趣的人也具有很大的吸引力。
數學是我們文化的重要組成部分，或者應該是！數學的影響有時是無聲的，但卻是強大的。本書的作者在挖掘數學推理滲透社會和政治生活的領域方面做出了令人難以置信的工作。通過閱讀這本書，我們將豐富我們對數學對社會價值的視野。
(Nuno Crato，里斯本大學應用數學教授，葡萄牙教育和科學部前部長，2011-2015年)
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方面的重要性，以及在科學方法逐漸滲透社會各個領域中的不可或缺性。這也包括政治。政治中的不是一切都可以被數學證明或與數學相關，但政治不應與數學真理相矛盾。對我來說，這是本書的核心訊息。
(Johanna Wanka，梅爾茨堡應用科學大學應用數學教授，德國教育和研究部前部長，2013-2018年)
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統計學和運籌學的副教授。他於2007年在穆爾西亞大學獲得數學博士學位後，在馬德里的一家私營企業擔任分析師近一年。隨後，他在阿利坎特大學、新堡大學（澳大利亞）和盧森堡系統生物醫學中心擔任了幾個博士後職位。他的主要研究領域是凸分析和集合值分析，特別強調優化和可行性算法的發展。他發表了39篇研究論文和教科書《非線性優化》（Springer，2019），與M.A Goberna、M.A. López和M.M.L. Rodríguez合著。他最著名的作品可能是與D.H. Bailey、J.M Borwein和P.B. Borwein合著的《Walking on real numbers》（Math. Intelligencer 35, 2013），其中包含了對π的前1000億個基於4進制的數字生成的大型圖像。他曾擔任《優化信件》（自2022年起）和《不動點理論》（自2021年起）的副編輯。
Miguel A. Goberna 是西班牙阿利坎特大學統計學和運籌學的名譽教授。他於1979年從瓦倫西亞大學獲得數學博士學位。他的主要研究領域包括幾何學、優化和凸分析，這些領域在Springer期刊《集合值和變分分析》的特刊《幾何、優化和凸分析》（2022年12月，第30卷，第4期）中有所體現。他發表了150多篇研究論文，但他更出名的是他的專著《線性半無窮優化》（J. Wiley，1998）、《線性半無窮優化的後優化分析》（Springer，2014）和《偶凸性和優化》（Springer，2020），以及他的教科書《代數和基礎》（Ariel，2000，西班牙語）、《線性優化》（McGraw-Hill，2004，西班牙語）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。他曾在2013年至2016年間擔任運籌學Springer期刊TOP的主編。
