Constitutional Calculus

Constitutional Calculus
Author: Jeff Suzuki
Publisher: JHU Press
Total Pages: 293
Release: 2015-03
Genre: Law
ISBN: 142141595X

How math trumps tradition in promoting justice, fairness, and a more stable democracy. How should we count the population of the United States? What would happen if we replaced the electoral college with a direct popular vote? What are the consequences of allowing unlimited partisan gerrymandering of congressional districts? Can six-person juries yield verdicts consistent with the needs of justice? Is it racist to stop and frisk minorities at a higher rate than non-minorities? These and other questions have long been the subject of legal and political debate and are routinely decided by lawyers, politicians, judges, and voters, mostly through an appeal to common sense and tradition. But mathematician Jeff Suzuki asserts that common sense is not so common, and traditions developed long ago in what was a mostly rural, mostly agricultural, mostly isolated nation of three million might not apply to a mostly urban, mostly industrial, mostly global nation of three hundred million. In Constitutional Calculus, Suzuki guides us through the U.S. Constitution and American history to show how mathematics reveals our flaws, finds the answers we need, and moves us closer to our ideals. From the first presidential veto to the debate over mandatory drug testing, the National Security Agency's surveillance program, and the fate of death row inmates, Suzuki draws us into real-world debates and then reveals how math offers a superior compass for decision-making. Relying on iconic cases, including the convictions of the Scottsboro boys, League of United Latin American Citizens v. Perry, and Floyd v. City of New York, Suzuki shows that more math can lead to better justice, greater fairness, and a more stable democracy. Whether you are fascinated by history, math, social justice, or government, your interest will be piqued and satisfied by the convincing case Suzuki makes.

The Calculus of Consent

The Calculus of Consent
Author: James M. Buchanan
Publisher: University of Michigan Press
Total Pages: 388
Release: 1965
Genre: Decision-making
ISBN: 9780472061006

A scientific study of the political and economic factors influencing democratic decision making

The Calculus of Consent and Constitutional Design

The Calculus of Consent and Constitutional Design
Author: Keith Dougherty
Publisher: Springer Science & Business Media
Total Pages: 124
Release: 2011-03-16
Genre: Political Science
ISBN: 0387981713

Buchanan and Tullock’s seminal work, The Calculus of Consent, linked economic methodology to substantive questions in political science. Among the major contributions of their book is a connection between constitutional decision making and contractarianism, a philosophical tradition that proponents believe can give institutions legitimacy. In other words, a major contribution of their book is a clear connection between empirical decision making and normative principles. The current book formalizes and extends their foundational ideas as it attempts to show how economic and philosophical arguments about the "best" voting rules can be used to improve constitutional design. It informs debates about constitutional political economy in comparative politics, democratic theory, and public choice. Political scientists often ask questions about what causes a nation to seek a new constitution, how constitutions are made, and what factors allow for corrupt decision making. The Calculus of Consent and Constitutional Design bridges the gap between normative questions about which institutions are most efficient and fair and empirical questions about how constitutions are formed. This provides a benchmark to help create better constitutions and informs empirical research about what institutions are most likely to succeed. The book begins by showing how contractarian ideals can be used to justify choices about decision-making. It then carefully defines several concepts employed by Buchanan and Tullock and shows why the relationships between these concepts may not be as closely linked as Buchanan and Tullock first thought. This provides a backdrop for analyzing the three phases of constitutional decision-making: 1) the constitutional phase, where rules for constitutional decision making must be justified; 2) the legislative phase, where the optimal k-majority rule is analyzed; and 3) the electoral phase, where the optimal voting rule for large electorates and open alternatives are determined. These phases differ by context and sources of legitimacy. Computational models and analytic techniques are introduced in each of these chapters. Finally, the book concludes with statements about the significance of the research for the creation of constitutions more broadly.

Political Numeracy

Political Numeracy
Author: Michael Meyerson
Publisher: W. W. Norton & Company
Total Pages: 304
Release: 2002
Genre: Mathematics
ISBN: 9780393041729

From the impossibility of a perfectly democratic vote to a clarifying model for affirmative action debates, constitutional law professor and math enthusiast Michael Meyerson "provides an engaging and unusual perspective on the no-man's land between mathematics and the law" (John Allen Paulos). In thoroughly accessible and entertaining terms, Meyerson shows how the principle of probability influenced the outcomes of the O. J. Simpson trials; makes a convincing case for the mathematical virtues of the electoral college; uses game theory to explain the federal government's shifting balance of power; relates the concept of infinity to the heated abortion debate; and uses topology and chaos theory to explain how our Constitution has successfully survived social and political change.

Calculus

Calculus
Author: Gilbert Strang
Publisher:
Total Pages: 824
Release: 2016-03-07
Genre: Calculus
ISBN: 9781938168062

"Published by OpenStax College, Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates."--BC Campus website.

Yet Another Calculus Text

Yet Another Calculus Text
Author: Dan Sloughter
Publisher: Orange Grove Texts Plus
Total Pages: 0
Release: 2009-09-24
Genre:
ISBN: 9781616100896

Patently Mathematical

Patently Mathematical
Author: Jeff Suzuki
Publisher: Johns Hopkins University Press
Total Pages: 296
Release: 2018-12-14
Genre: Mathematics
ISBN: 1421427052

A reaffirmation that mathematics should be used more often to make general public policy."—MAA Reviews

Calculus for the Life Sciences

Calculus for the Life Sciences
Author: James L. Cornette
Publisher: MAA Press
Total Pages: 713
Release: 2015-12-30
Genre:
ISBN: 9781614446156

Freshman and sophomore life sciences students respond well to the modeling approach to calculus, difference equations, and differential equations presented in this book. Examples of population dynamics, pharmacokinetics, and biologically relevant physical processes are introduced in Chapter 1, and these and other life sciences topics are developed throughout the text. The students should have studied algebra, geometry, and trigonometry, but may be life sciences students because they have not enjoyed their previous mathematics courses.

John Paul Stevens and the Constitution

John Paul Stevens and the Constitution
Author: Robert Sickels
Publisher: Penn State Press
Total Pages: 216
Release: 1990-10-01
Genre: Law
ISBN: 0271073071

A good pragmatist's constitutional theory is inseparable from the legal disputes out of which it arises. John Paul Stevens's theory, that of deciding individual cases well instead of applying constitutional principles in the abstract to cases by category, thus lends itself to being studied in its natural, factual habitat—in his own words, case by case. That's what this book does. In Chapter 1 Sickels distills Stevens's thoughts about law and appellate judging from his early writings and his opinions on the federal appeals court and, from 1975 to the present, on the U.S. Supreme Court. Stevens shows a concern for facts and consequences, for balancing, for deference to other decision makers unless they have been careless, for avoidance of undue complexity in judge-made law, and for drawing the line between clarity and oversimplification in legal rules. The next three chapters describe the application of Stevens's pragmatism to areas of constitutional law to which the Court and he especially have devoted most attention in recent years: First Amendment guarantees of freedom of expression and religion, the procedural guarantees (broadly, due process) of the Bill of Rights and the Fourteenth Amendment, and the equal protection of the laws. In each area, Stevens's special contributions are described. The concluding chapter places Stevens's judging in the contexts of the ongoing debate about the legitimacy of balancing, the ways of other moderates on the Court, and the voting records of the other members of the Court as a whole. Unique to this work is a meaningful introduction to the term moderate when applied to a Supreme Court justice, a definition based on careful analysis of the interplay of general rules and specific, case-by-case context. As such it is the very essence of Stevens's own way of judging and thus enables analysis of the work of a pragmatist on his own terms rather than through the distortions of a conflicting theory of law. John Paul Stevens is recognized as a jurist of unusual ability and one adheres to no ideological camp. While it is one thing to know he is neither rigid liberal nor a conservative, this book goes beyond the "neither nor" to accomplish the more difficult goal of defining what he is. This study is intended for scholars and students of the Supreme Court, the Constitution, the courts, and the American political process. Lawyers working before the Supreme Court, informed generalists, and courtwatchers generally, whether liberal, conservative, or neutral, will find much of interest here.