Toward A Mathematics Of Politics
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Toward A Mathematics Of Politics
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Author : Gordon Tullock
language : en
Publisher: Ann Arbor : University of Michigan Press
Release Date : 1967
Toward A Mathematics Of Politics written by Gordon Tullock and has been published by Ann Arbor : University of Michigan Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Mathematics categories.
Toward A Mathematical Of Politics
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Author : Gordon Tullock
language : en
Publisher:
Release Date : 1967
Toward A Mathematical Of Politics written by Gordon Tullock and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Political science categories.
Mathematics In Politics And Governance
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Author : Francisco J. Aragón-Artacho
language : en
Publisher: Springer
Release Date : 2024-05-15
Mathematics In Politics And Governance written by Francisco J. Aragón-Artacho and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-15 with Mathematics categories.
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)
Formal Theories Of Politics
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Author : Paul E. Johnson
language : en
Publisher: Pergamon
Release Date : 1989
Formal Theories Of Politics written by Paul E. Johnson and has been published by Pergamon this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Philosophy categories.
Formal Theories of Politics demonstrates the role of formal mathematical models in political science, and aims to convey a sense of the questions and methods which govern the political science research agenda. While there is still much interest in empirical patterns of voting behaviour and public opinion data, there has been substantial growth in emphasis on mathematical theory as a technique for the derivation of testable hypotheses. Topics discussed include: optimal candidate strategies and equilibria in competitive elections; voting agendas and parliamentary procedure in the multidimensional events; revolution, repression and inequality as outputs of dynamics systems. The mathematical techniques are widely varied, including game theory, functional analysis, differential equations, expert systems, stochastic processes and statistical models.
Mathematics And Politics
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Author : Alan D. Taylor
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-29
Mathematics And Politics written by Alan D. Taylor and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-29 with Social Science categories.
As a text for an undergraduate mathematics course for nonmajors, Mathematics and Politics requires no prerequisites in either area while the underlying philosophy involves minimizing algebraic computations and focusing instead on some conceptual aspects of mathematics in the context of important real-world questions in political science. Five major topics are covered including a model of escalation, game theoretic models of international conflict, yes-no voting systems, political power, and social choice. Each topic is discussed in an introductory chapter and revisited in more depth in a later chapter. This new edition has added co-author, Allison Pacelli, and two new chapters on "Fairness" and "More Fairness." The examples and the exercises have been updated and enhanced throughout. Reviews from first edition: This book is well written and has much math of interest. While it is pitched at a non-math audience there is material here that will be new and interesting to the readers... -Sigact News For mathematicians, Taylor's book shows how the social sciences make use of mathematical thinking, in the form of axiomatic systems, and offers a chance to teach this kind of thinking to our students. - The College Mathematics Journal The writing is crisp and the sense of excitement about learning mathematics is seductive. The political conflict examples are well thought out and clear. -Michael C. Munger
A Mathematics Course For Political And Social Research
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Author : Will H. Moore
language : en
Publisher: Princeton University Press
Release Date : 2013-08-11
A Mathematics Course For Political And Social Research written by Will H. Moore and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-11 with Political Science categories.
Political science and sociology increasingly rely on mathematical modeling and sophisticated data analysis, and many graduate programs in these fields now require students to take a "math camp" or a semester-long or yearlong course to acquire the necessary skills. Available textbooks are written for mathematics or economics majors, and fail to convey to students of political science and sociology the reasons for learning often-abstract mathematical concepts. A Mathematics Course for Political and Social Research fills this gap, providing both a primer for math novices in the social sciences and a handy reference for seasoned researchers. The book begins with the fundamental building blocks of mathematics and basic algebra, then goes on to cover essential subjects such as calculus in one and more than one variable, including optimization, constrained optimization, and implicit functions; linear algebra, including Markov chains and eigenvectors; and probability. It describes the intermediate steps most other textbooks leave out, features numerous exercises throughout, and grounds all concepts by illustrating their use and importance in political science and sociology. Uniquely designed and ideal for students and researchers in political science and sociology Uses practical examples from political science and sociology Features "Why Do I Care?" sections that explain why concepts are useful Includes numerous exercises Complete online solutions manual (available only to professors, email david.siegel at duke.edu, subject line "Solution Set") Selected solutions available online to students
Opening The Cage
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Author : Ole Skovsmose
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-05
Opening The Cage written by Ole Skovsmose and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-05 with Education categories.
The picture on the front of this book is an illustration for Totakahini: The tale of the parrot, by Rabindranath Tagore, in which he satirized education as a magnificent golden cage. Opening the cage addresses mathematics education as a complex socio-political phenomenon, exploring the vast terrain that spans critique and politics. Opening the cage includes contributions from educators writing critically about mathematics education in diverse contexts. They demonstrate that mathematics education is politics, they investigate borderland positions, they address the nexus of mathematics, education, and power, and they explore educational possibilities. Mathematics education is not a free enterprise. It is carried on behind bars created by economic, political, and social demands. This cage might not be as magnificent as that in Tagore’s fable. But it is strong. Opening the cage is a critical and political challenge, and we may be surprised to see what emerges.
Toward Equity And Social Justice In Mathematics Education
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Author : Tonya Gau Bartell
language : en
Publisher: Springer
Release Date : 2018-08-14
Toward Equity And Social Justice In Mathematics Education written by Tonya Gau Bartell and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-14 with Education categories.
This critical volume responds to the enduring challenge in mathematics education of addressing the needs of marginalized students in school mathematics, and stems from the 2015 Annual Meeting of the North American Group of the Psychology of Mathematics Education (PME-NA). This timely analysis brings greater clarity and support to such challenges by narrowing in on four foci: theoretical and political perspectives toward equity and justice in mathematics education, identifying and connecting to family and community funds of knowledge, student learning and engagement in preK-12 mathematics classrooms, and supporting teachers in addressing the needs of marginalized learners. Each of these areas examines how race, class, culture, power, justice and mathematics teaching and learning intersect in mathematics education to sustain or disrupt inequities, and include contributions from scholars writing about mathematics education in diverse contexts. Included in the coverage: Disrupting policies and reforms to address the needs of marginalized learners A socio-spatial framework for urban mathematics education Linking literature on allywork to the work of mathematics teacher educators Transnational families’ mathematical funds of knowledge Multilingual and technological contexts for supporting learners’ mathematical discourse Preservice teachers’ strategies for teaching mathematics with English learners Toward Equity and Social Justice in Mathematics Education is of significant interest to mathematics teacher educators and mathematics education researchers currently addressing the needs of marginalized students in school mathematics. It is also relevant to teachers of related disciplines, administrators, and instructional designers interested in pushing our thinking and work toward equity and justice in mathematics education.
Reform Democracy And Mathematics Education
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Author : Paola Ximena Valero-Dueñas
language : en
Publisher:
Release Date : 2002
Reform Democracy And Mathematics Education written by Paola Ximena Valero-Dueñas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
An Ecological Theory Of Democracy
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Author : William Collins
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
An Ecological Theory Of Democracy written by William Collins and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.
There are a number of people I wish to acknowledge for helping me write this book. First, the idea of politics as a nonequilibrium process owes its origins largely to a series of ongoing conservations I have had with Father Richard Telnack, o. c. s. o. Our discussions of Augustine's city of God and Hegel's Phenomenology in the hours before the night office led me to think about the world more as an ongoing flux than as a static rational order. The use of structurally unstable dynamical systems to. model democratic politics was greatly enhanced by my interactions with Professor Alex Kleiner, department of mathematics, Drake University. Professor Manfred Holler of the University of Aarhus provided a detailed critique of an earlier version. His insights and remarks were invaluable in improving the work's content and structure. I also wish to thank Dr. Werner A. Muller, director of Physica Verlag for his confidence in my work and his efforts on my behalf. Miss Jane Blevins was a patient and thorough typist. I thank her for her attention to the production of the manuscript. Finally, writing a book is in one way a moral act. It requires committment to pursue a line of thought to its conclusion when the final results are not clear. without the encouragement and support of my wife over a long period of time, I would have certainly faltered. Whatever good emerges from the work is due largely to her example and patient endurance.