The Mathematics Of Voting And Elections A Hands On Approach
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The Mathematics Of Voting And Elections
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Author : Jonathan K. Hodge
language : en
Publisher: American Mathematical Soc.
Release Date :
The Mathematics Of Voting And Elections written by Jonathan K. Hodge and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
The Mathematics of Voting and Elections: A Hands-on Approach will help you discover answers to these and many other questions. Easily accessible to anyone interested in the subject, the book requires virtually no prior mathematical experience beyond basic arithmetic, and includes numerous examples and discussions regarding actual elections from politics and popular culture.
The Mathematics Of Voting And Elections A Hands On Approach
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Author : Jonathan K. Hodge
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-10-01
The Mathematics Of Voting And Elections A Hands On Approach written by Jonathan K. Hodge and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-01 with Mathematics categories.
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.
Understanding The Fundamentals Of The U S Presidential Election System
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Author : Alexander S. Belenky
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-04-25
Understanding The Fundamentals Of The U S Presidential Election System written by Alexander S. Belenky 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 2012-04-25 with Law categories.
This is the first book on the U.S. presidential election system to analyze the basic principles underlying the design of the existing system and those at the heart of competing proposals for improving the system. The book discusses how the use of some election rules embedded in the U.S. Constitution and in the Presidential Succession Act may cause skewed or weird election outcomes and election stalemates. The book argues that the act may not cover some rare though possible situations which the Twentieth Amendment authorizes Congress to address. Also, the book questions the constitutionality of the National Popular Vote Plan to introduce a direct popular presidential election de facto, without amending the Constitution, and addresses the plan’s “Achilles’ Heel.” In particular, the book shows that the plan may violate the Equal Protection Clause from the Fourteenth Amendment of the Constitution. Numerical examples are provided to show that the counterintuitive claims of the NPV originators and proponents that the plan will encourage presidential candidates to “chase” every vote in every state do not have any grounds. Finally, the book proposes a plan for improving the election system by combining at the national level the “one state, one vote” principle – embedded in the Constitution – and the “one person, one vote” principle. Under this plan no state loses its current Electoral College benefits while all the states gain more attention of presidential candidates.
The Mathematics Of Voting And Elections
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Author : Jonathan K. Hodge
language : en
Publisher:
Release Date : 2018
The Mathematics Of Voting And Elections written by Jonathan K. Hodge and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with POLITICAL SCIENCE categories.
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 ca.
Integer And Polynomial Algebra
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Author : Kenneth R. Davidson
language : en
Publisher: American Mathematical Society
Release Date : 2023-10-30
Integer And Polynomial Algebra written by Kenneth R. Davidson and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-30 with Mathematics categories.
This book is a concrete introduction to abstract algebra and number theory. Starting from the basics, it develops the rich parallels between the integers and polynomials, covering topics such as Unique Factorization, arithmetic over quadratic number fields, the RSA encryption scheme, and finite fields. In addition to introducing students to the rigorous foundations of mathematical proofs, the authors cover several specialized topics, giving proofs of the Fundamental Theorem of Algebra, the transcendentality of $e$, and Quadratic Reciprocity Law. The book is aimed at incoming undergraduate students with a strong passion for mathematics.
Presidential Elections And Majority Rule
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Author : Edward B. Foley
language : en
Publisher: Oxford University Press
Release Date : 2019-12-02
Presidential Elections And Majority Rule written by Edward B. Foley and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-02 with Law categories.
The Electoral College that governs America has been with us since 1804, when Thomas Jefferson's supporters redesigned it for his re-election. The Jeffersonians were motivated by the principle of majority rule. Gone were the days when a president would be elected by acclamation, as George Washington had been. Instead, given the emergence of intense two-party competition, the Jeffersonians wanted to make sure that the Electoral College awarded the presidency to the candidate of the majority, rather than minority, party. They also envisioned that a candidate would win by amassing a majority of Electoral College votes secured from states where the candidate's party was in the majority. For most of American history, this system has worked as intended, producing presidents who won Electoral College victories derived from state-based majorities. In the last quarter-century, however, there have been three significant aberrations from the Jeffersonian design: 1992, 2000, and 2016. In each of these years, the Electoral College victory depended on states where the winner received only a minority of votes. In this authoritative history of the American Electoral College system, Edward Foley analyzes the consequences of the unparalleled departure from the Jeffersonians' original intent-and delineates what we can do about it. He explains how states, by simply changing their Electoral College procedures, could restore the original Jeffersonian commitment to majority rule. There are various ways to do this, all of which comply with the Constitution. If only a few states had done so before 2016, the outcome might have been different. Doing so before future elections can prevent another victory that, contrary to the original Jeffersonian intent, a majority of voters did not want.
The Mathematics Of Politics Second Edition
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Author : E. Arthur Robinson
language : en
Publisher: CRC Press
Release Date : 2016-11-18
The Mathematics Of Politics Second Edition written by E. Arthur Robinson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-18 with Mathematics categories.
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.
A Mathematical Look At Politics
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Author : E. Arthur Robinson Jr.
language : en
Publisher: CRC Press
Release Date : 2010-12-09
A Mathematical Look At Politics written by E. Arthur Robinson Jr. and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-09 with Business & Economics categories.
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 pres
Teaching Mathematics Through Cross Curricular Projects
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Author : Elizabeth A. Donovan
language : en
Publisher: American Mathematical Society
Release Date : 2024-07-22
Teaching Mathematics Through Cross Curricular Projects written by Elizabeth A. Donovan and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-22 with Mathematics categories.
This book offers engaging cross-curricular modules to supplement a variety of pure mathematics courses. Developed and tested by college instructors, each activity or project can be integrated into an instructor’s existing class to illuminate the relationship between pure mathematics and other subjects. Every chapter was carefully designed to promote active learning strategies. The editors have diligently curated a volume of twenty-six independent modules that cover topics from fields as diverse as cultural studies, the arts, civic engagement, STEM topics, and sports and games. An easy-to-use reference table makes it straightforward to find the right project for your class. Each module contains a detailed description of a cross-curricular activity, as well as a list of the recommended prerequisites for the participating students. The reader will also find suggestions for extensions to the provided activities, as well as advice and reflections from instructors who field-tested the modules. Teaching Mathematics Through Cross-Curricular Projects is aimed at anyone wishing to demonstrate the utility of pure mathematics across a wide selection of real-world scenarios and academic disciplines. Even the most experienced instructor will find something new and surprising to enhance their pure mathematics courses.
The Moore Method
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Author : Charles Arthur Coppin
language : en
Publisher: MAA
Release Date : 2009
The Moore Method written by Charles Arthur Coppin and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Education categories.
The Moore method is a type of instruction used in advanced mathematics courses that moves away from a teacher-oriented experience to a learner-centered one. This book gives an overview of the Moore Method as practiced by the four authors. The authors outline six principles they all have as goals : elevating students from recipients to creators of knowledge; letting students discover the power of their minds; believing every student can and will do mathematics; allowing students to discover, present and debate mathematics; carefully matching problems and materials to the students; and having the material cover a significant body of knowledge. Topics include establishing a classroom culture, grading methods, materials development and more. Appendices include sample tests, notes and diaries of individual courses.