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Author : Gordon Tullock
Publisher : Ann Arbor : University of Michigan Press
Page : 200 pages
File Size : 47,8 Mb
Release : 1967
Category : Mathematics
ISBN : UOM:39015002397258
Author : E. Arthur Robinson,Daniel H. Ullman
Publisher : CRC Press
Page : 440 pages
File Size : 54,9 Mb
Release : 2016-11-18
Category : Mathematics
ISBN : 9781498798907
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.
Author : Gordon Tullock
Publisher : Unknown
Page : 0 pages
File Size : 42,5 Mb
Release : 1967
Category : Political science
ISBN : OCLC:1436123140
Author : Francisco J. Aragón-Artacho
Publisher : Springer Nature
Page : 233 pages
File Size : 51,7 Mb
Release : 2024-07-02
Category : Electronic
ISBN : 9783031527760
Author : E. Arthur Robinson,Daniel Ullman
Publisher : Unknown
Page : 128 pages
File Size : 42,8 Mb
Release : 2017
Category : Political science
ISBN : 1315366673
Author : P. E. Johnson
Publisher : Elsevier
Page : 225 pages
File Size : 47,8 Mb
Release : 2014-06-28
Category : Business & Economics
ISBN : 9781483297743
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.
Author : Alan D. Taylor
Publisher : Springer Science & Business Media
Page : 298 pages
File Size : 41,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461225126
interest in a particular application, however, often depends on his or hergeneralinterestintheareainwhichtheapplicationistakingplace. My experience at Union College has been that there is a real advan tage in having students enter the course knowing thatvirtually all the applications will focus on a single discipline-in this case, political science. The level ofpresentation assumes no college-level mathematicalor social science prerequisites. The philosophy underlying the approach we have taken in this book is based on the sense that we (mathemati cians)havetendedtomaketwoerrorsinteachingnonsciencestudents: wehaveoverestimatedtheircomfortwithcomputationalmaterial,and we have underestimated their ability to handle conceptual material. Thus, while there is very little algebra (and certainly no calculus) in our presentation, we have included numerous logical arguments that students in the humanitiesand the socialscienceswill find accessible, but not trivial. The book contains five main topics: a m.odel of escalation, game theoretic models of international conflict, yes-no voting systems, political power, and social choice. The first partofthe text is made up of a single chapter devoted to each topic. The second part of the text revisits each topic, again with a single chapter devoted to each. The organizationofthe bookisbasedonpedagogicalconsiderations, with the material becoming somewhat more sophisticated as one moves through the ten chapters. On the other hand, within any given chap terthere is little reliance on material from earlierchapters, except for those devoted to the same topic.
Author : Will H. Moore,David A. Siegel
Publisher : Princeton University Press
Page : 456 pages
File Size : 54,9 Mb
Release : 2013-07-24
Category : Political Science
ISBN : 9781400848614
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
Author : E. Arthur Robinson, Jr.,Daniel H. Ullman
Publisher : CRC Press
Page : 0 pages
File Size : 54,6 Mb
Release : 2010-12-09
Category : Business & Economics
ISBN : 1439819831
What Ralph Nader's spoiler role in the 2000 presidential election tells us about the American political system. Why Montana went to court to switch the 1990 apportionment to Dean’s method. How the US tried to use game theory to win the Cold War, and why it didn’t work. When students realize that mathematical thinking can address these sorts of pressing concerns of the political world it naturally sparks their interest in the underlying mathematics. A Mathematical Look at Politics is designed as an alternative to the usual mathematics texts for students in quantitative reasoning courses. It applies the power of mathematical thinking to problems in politics and public policy. Concepts are precisely defined. Hypotheses are laid out. Propositions, lemmas, theorems, and corollaries are stated and proved. Counterexamples are offered to refute conjectures. Students are expected not only to make computations but also to state results, prove them, and draw conclusions about specific examples. Tying the liberal arts classroom to real-world mathematical applications, this text is more deeply engaging than a traditional general education book that surveys the mathematical landscape. It aims to instill a fondness for mathematics in a population not always convinced that mathematics is relevant to them.
Author : Tonya Gau Bartell
Publisher : Springer
Page : 341 pages
File Size : 54,6 Mb
Release : 2018-08-14
Category : Education
ISBN : 9783319929071
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.
Author : John Miller Claunch,Joseph L. Bernd
Publisher : Unknown
Page : 104 pages
File Size : 49,7 Mb
Release : 1969
Category : Political science
ISBN : STANFORD:36105009170734
Vols. for 1964 contains papers presented at the Conference on Mathematical Applications in Political Science; 1965- consists chiefly of papers presented at institutes held at Southern Methodist University, 1965 and at Virginia Polytechnis Institute, 1966, 1968-
Author : Hayward R. Alker,Karl Wolfgang Deutsch,Antoine H. Stoetzel
Publisher : Unknown
Page : 496 pages
File Size : 44,8 Mb
Release : 1973
Category : Political science
ISBN : UOM:39015012438050
Author : Jeff Gill
Publisher : Cambridge University Press
Page : 482 pages
File Size : 44,6 Mb
Release : 2006-04-24
Category : Political Science
ISBN : 052168403X
Essential Mathematics for Political and Social Research addresses an educational deficiency in the social and behavioral sciences. This 2006 book was the first of its kind to specifically address the comprehensive introduction to the mathematical principles needed by modern social scientists. The material introduces basic mathematical principles necessary to do analytical work in the social sciences, starting from first principles, but without unnecessary complexity. The core purpose is to present fundamental notions in standard notation and standard language with a clear, unified framework throughout. Through examples and exercises, this book is intended to not only motivate specific mathematical principles and practices, but also introduce the way that social science researchers use these tools. The intended emphasis is on conceptual understanding of key principles and their subsequent application.
Author : Ole Skovsmose,Brian Greer
Publisher : Springer Science & Business Media
Page : 387 pages
File Size : 43,7 Mb
Release : 2012-09-05
Category : Education
ISBN : 9789460918087
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.
Author : United States. Bureau of Labor Statistics
Publisher : Unknown
Page : 806 pages
File Size : 49,6 Mb
Release : 1968
Category : Labor
ISBN : OSU:32435029682135
Publishes in-depth articles on labor subjects, current labor statistics, information about current labor contracts, and book reviews.