The Mathematics Of Politics Second Edition

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The Mathematics of Politics, Second Edition

Author : E. Arthur Robinson
Publisher : CRC Press
ISBN 13 : 149879890X
Total Pages : 452 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis The Mathematics of Politics, Second Edition by : E. Arthur Robinson

Download or read book The Mathematics of Politics, Second Edition written by E. Arthur Robinson and published by CRC Press. This book was released on 2016-11-18 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematics and Politics

Author : Alan D. Taylor
Publisher : Springer Science & Business Media
ISBN 13 : 0387776435
Total Pages : 378 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Mathematics and Politics by : Alan D. Taylor

Download or read book Mathematics and Politics written by Alan D. Taylor and published by Springer Science & Business Media. This book was released on 2009-12-29 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Essential Mathematics for Political and Social Research

Author : Jeff Gill
Publisher : Cambridge University Press
ISBN 13 : 0521834260
Total Pages : 449 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Essential Mathematics for Political and Social Research by : Jeff Gill

Download or read book Essential Mathematics for Political and Social Research written by Jeff Gill and published by Cambridge University Press. This book was released on 2006-04-24 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: "More than ever before, modern social scientists require a basic level of mathematical literacy, yet many students receive only limited mathematical training prior to beginning their research careers. This textbook addresses this dilemma by offering a comprehensive, unified introduction to the essential mathematics of social science. Throughout the book the presentation builds from first principles and eschews unnecessary complexity. Most importantly, the discussion is thoroughly and consistently anchored in real social science applications, with more than 80 research-based illustrations woven into the text and featured in end-of-chapter exercises. Students and researchers alike will find this first-of-its-kind volume to be an invaluable resource."--BOOK JACKET.

The Mathematics of Voting and Elections: A Hands-On Approach

Author : Jonathan K. Hodge
Publisher : American Mathematical Soc.
ISBN 13 : 1470442876
Total Pages : 255 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Mathematics of Voting and Elections: A Hands-On Approach by : Jonathan K. Hodge

Download or read book The Mathematics of Voting and Elections: A Hands-On Approach written by Jonathan K. Hodge and published by American Mathematical Soc.. This book was released on 2018-10-01 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics of Voting and Elections: A Hands-On Approach, Second Edition, is an inquiry-based approach to the mathematics of politics and social choice. The aim of the book is to give readers who might not normally choose to engage with mathematics recreationally the chance to discover some interesting mathematical ideas from within a familiar context, and to see the applicability of mathematics to real-world situations. Through this process, readers should improve their critical thinking and problem solving skills, as well as broaden their views of what mathematics really is and how it can be used in unexpected ways. The book was written specifically for non-mathematical audiences and requires virtually no mathematical prerequisites beyond basic arithmetic. At the same time, the questions included are designed to challenge both mathematical and non-mathematical audiences alike. More than giving the right answers, this book asks the right questions. The book is fun to read, with examples that are not just thought-provoking, but also entertaining. It is written in a style that is casual without being condescending. But the discovery-based approach of the book also forces readers to play an active role in their learning, which should lead to a sense of ownership of the main ideas in the book. And while the book provides answers to some of the important questions in the field of mathematical voting theory, it also leads readers to discover new questions and ways to approach them. In addition to making small improvements in all the chapters, this second edition contains several new chapters. Of particular interest might be Chapter 12 which covers a host of topics related to gerrymandering.

A Mathematics Course for Political and Social Research

Author : Will H. Moore
Publisher : Princeton University Press
ISBN 13 : 0691159173
Total Pages : 450 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis A Mathematics Course for Political and Social Research by : Will H. Moore

Download or read book A Mathematics Course for Political and Social Research written by Will H. Moore and published by Princeton University Press. This book was released on 2013-08-11 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Game Theory and Politics

Author : Steven J. Brams
Publisher : Courier Corporation
ISBN 13 : 0486143635
Total Pages : 338 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Game Theory and Politics by : Steven J. Brams

Download or read book Game Theory and Politics written by Steven J. Brams and published by Courier Corporation. This book was released on 2013-01-17 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVMany illuminating and instructive examples of the applications of game theoretic models to problems in political science appear in this volume, which requires minimal mathematical background. 1975 edition. 24 figures. /div

The New Math

Author : Christopher James Phillips
Publisher : University of Chicago Press
ISBN 13 : 022618496X
Total Pages : 242 pages
Book Rating : 4.2/5 (261 download)

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Book Synopsis The New Math by : Christopher James Phillips

Download or read book The New Math written by Christopher James Phillips and published by University of Chicago Press. This book was released on 2015 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: An era of sweeping cultural change in America, the postwar years saw the rise of beatniks and hippies, the birth of feminism, and the release of the first video game. This book examines the rise and fall of the new math as a marker of the period's political and social ferment.

The Mathematics of Elections and Voting

Author : W.D. Wallis
Publisher : Springer
ISBN 13 : 3319098101
Total Pages : 103 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis The Mathematics of Elections and Voting by : W.D. Wallis

Download or read book The Mathematics of Elections and Voting written by W.D. Wallis and published by Springer. This book was released on 2014-10-08 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title takes an in-depth look at the mathematics in the context of voting and electoral systems, with focus on simple ballots, complex elections, fairness, approval voting, ties, fair and unfair voting, and manipulation techniques. The exposition opens with a sketch of the mathematics behind the various methods used in conducting elections. The reader is lead to a comprehensive picture of the theoretical background of mathematics and elections through an analysis of Condorcet’s Principle and Arrow’s Theorem of conditions in electoral fairness. Further detailed discussion of various related topics include: methods of manipulating the outcome of an election, amendments, and voting on small committees. In recent years, electoral theory has been introduced into lower-level mathematics courses, as a way to illustrate the role of mathematics in our everyday life. Few books have studied voting and elections from a more formal mathematical viewpoint. This text will be useful to those who teach lower level courses or special topics courses and aims to inspire students to understand the more advanced mathematics of the topic. The exercises in this text are ideal for upper undergraduate and early graduate students, as well as those with a keen interest in the mathematics behind voting and elections.

Numbers Rule

Author : George Szpiro
Publisher : Princeton University Press
ISBN 13 : 0691209081
Total Pages : 240 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Numbers Rule by : George Szpiro

Download or read book Numbers Rule written by George Szpiro and published by Princeton University Press. This book was released on 2020-11-03 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author takes the general reader on a tour of the mathematical puzzles and paradoxes inherent in voting systems, such as the Alabama Paradox, in which an increase in the number of seats in the Congress could actually lead to a reduced number of representatives for a state, and the Condorcet Paradox, which demonstrates that the winner of elections featuring more than two candidates does not necessarily reflect majority preferences. Szpiro takes a roughly chronological approach to the topic, traveling from ancient Greece to the present and, in addition to offering explanations of the various mathematical conundrums of elections and voting, also offers biographical details on the mathematicians and other thinkers who thought about them, including Plato, Pliny the Younger, Pierre Simon Laplace, Thomas Jefferson, John von Neumann, and Kenneth Arrow.

Rethinking Mathematics

Author : Eric Gutstein
Publisher : Rethinking Schools
ISBN 13 : 0942961544
Total Pages : 192 pages
Book Rating : 4.9/5 (429 download)

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Book Synopsis Rethinking Mathematics by : Eric Gutstein

Download or read book Rethinking Mathematics written by Eric Gutstein and published by Rethinking Schools. This book was released on 2005 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this unique collection, more than 30 articles show how to weave social justice issues throughout the mathematics curriculum, as well as how to integrate mathematics into other curricular areas. Rethinking Mathematics offers teaching ideas, lesson plans, and reflections by practitioners and mathematics educators. This is real-world math-math that helps students analyze problems as they gain essential academic skills. This book offers hope and guidance for teachers to enliven and strengthen their math teaching. It will deepen students' understanding of society and help prepare them to be critical, active participants in a democracy. Blending theory and practice, this is the only resource of its kind.

The Mathematics of Voting and Apportionment

Author : Sherif El-Helaly
Publisher : Springer
ISBN 13 : 3030147681
Total Pages : 275 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis The Mathematics of Voting and Apportionment by : Sherif El-Helaly

Download or read book The Mathematics of Voting and Apportionment written by Sherif El-Helaly and published by Springer. This book was released on 2019-05-21 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook contains a rigorous exposition of the mathematical foundations of two of the most important topics in politics and economics: voting and apportionment, at the level of upper undergraduate and beginning graduate students. It stands out among comparable books by providing, in one volume, an extensive and mathematically rigorous treatment of these two topics. The text’s three chapters cover social choice, yes-no voting, and apportionment, respectively, and can be covered in any order, allowing teachers ample flexibility. Each chapter begins with an elementary introduction and several examples to motivate the concepts and to gradually lead to more advanced material. Landmark theorems are presented with detailed and streamlined proofs; those requiring more complex proofs, such as Arrow’s theorems on dictatorship, Gibbard’s theorem on oligarchy, and Gärdenfors’ theorem on manipulation, are broken down into propositions and lemmas in order to make them easier to grasp. Simple and intuitive notations are emphasized over non-standard, overly complicated symbols. Additionally, each chapter ends with exercises that vary from computational to “prove or disprove” types. The Mathematics of Voting and Apportionment will be particularly well-suited for a course in the mathematics of voting and apportionment for upper-level undergraduate and beginning graduate students in economics, political science, or philosophy, or for an elective course for math majors. In addition, this book will be a suitable read for to any curious mathematician looking for an exposition to these unpublicized mathematical applications. No political science prerequisites are needed. Mathematical prerequisites (included in the book) are minimal: elementary concepts in combinatorics, graph theory, order relations, and the harmonic and geometric means. What is needed most is the level of maturity that enables the student to think logically, derive results from axioms and hypotheses, and intuitively grasp logical notions such as “contrapositive” and “counterexample.”

Hermeneutics as Politics

Author : Stanley Rosen
Publisher : Oxford University Press, USA
ISBN 13 : 0195061616
Total Pages : 222 pages
Book Rating : 4.1/5 (95 download)

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Book Synopsis Hermeneutics as Politics by : Stanley Rosen

Download or read book Hermeneutics as Politics written by Stanley Rosen and published by Oxford University Press, USA. This book was released on 1987 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This, the first of four volumes in the new Odeon series on continental philosophy, is an attempt to construe the interpretation of texts (ie the art of hermeneutics) as a political answer to a given historical situation. Professor Rosen views interpretation as the result neither of changing fashion nor of innocent playfulness, but rather as a self-conscious (even if disguised or concealed) political strategy. In this book, he discusses the German hermeneutical tradition, the Alexander Kojeve-Leo Straus relationship, and current leading continental and American philosophers such as Derrida and.

A Book of Abstract Algebra

Author : Charles C Pinter
Publisher : Courier Corporation
ISBN 13 : 0486474178
Total Pages : 402 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis A Book of Abstract Algebra by : Charles C Pinter

Download or read book A Book of Abstract Algebra written by Charles C Pinter and published by Courier Corporation. This book was released on 2010-01-14 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.

Data Analysis for Politics and Policy

Author : Edward R. Tufte
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 196 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Data Analysis for Politics and Policy by : Edward R. Tufte

Download or read book Data Analysis for Politics and Policy written by Edward R. Tufte and published by Prentice Hall. This book was released on 1974 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to data analysis; Predictions and projections: some issues of research design; Two-variable linear regression; Multiple regression.

Open Judicial Politics

Author : Rorie Spill Solberg
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis Open Judicial Politics by : Rorie Spill Solberg

Download or read book Open Judicial Politics written by Rorie Spill Solberg and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Oxford Handbook of Political Science

Author : Robert E. Goodin
Publisher : Oxford Handbooks of Political
ISBN 13 : 0199562954
Total Pages : 1310 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis The Oxford Handbook of Political Science by : Robert E. Goodin

Download or read book The Oxford Handbook of Political Science written by Robert E. Goodin and published by Oxford Handbooks of Political. This book was released on 2009-06-18 with total page 1310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing on the rich resources of the ten-volume series of The Oxford Handbooks of Political Science, this one-volume distillation provides a comprehensive overview of all the main branches of contemporary political science: political theory; political institutions; political behavior; comparative politics; international relations; political economy; law and politics; public policy; contextual political analysis; and political methodology. Sixty-seven of the top politicalscientists worldwide survey recent developments in those fields and provide penetrating introductions to exciting new fields of study. Following in the footsteps of the New Handbook of Political Science edited by Robert Goodin and Hans-Dieter Klingemann a decade before, this Oxford Handbook will become anindispensable guide to the scope and methods of political science as a whole. It will serve as the reference book of record for political scientists and for those following their work for years to come.

The Oxford Handbook of Political Economy

Author : Barry R. Weingast
Publisher : Oxford University Press
ISBN 13 : 0191563404
Total Pages : pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis The Oxford Handbook of Political Economy by : Barry R. Weingast

Download or read book The Oxford Handbook of Political Economy written by Barry R. Weingast and published by Oxford University Press. This book was released on 2008-06-20 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Over its long lifetime, "political economy" has had many different meanings: the science of managing the resources of a nation so as to provide wealth to its inhabitants for Adam Smith; the study of how the ownership of the means of production influenced historical processes for Marx; the study of the inter-relationship between economics and politics for some twentieth-century commentators; and for others, a methodology emphasizing individual rationality (the economic or "public choice" approach) or institutional adaptation (the sociological version). This Handbook views political economy as a grand (if imperfect) synthesis of these various strands, treating political economy as the methodology of economics applied to the analysis of political behavior and institutions. This Handbook surveys the field of political economy, with 58 chapters ranging from micro to macro, national to international, institutional to behavioral, methodological to substantive. Chapters on social choice, constitutional theory, and public economics are set alongside ones on voters, parties and pressure groups, macroeconomics and politics, capitalism and democracy, and international political economy and international conflict.