209 books match the query 'Mathematics' and 38 start with t

cover of Tarski's World: Revised and Expanded

Tarski's World

Revised and Expanded

David Barker-Plummer, Jon Barwise, and John Etchemendy

CSLI, 2004

Tarski’s World is an innovative and exciting method of introducing students to the language of first-order logic. Using the courseware package, students quickly master the meanings of connectives and qualifiers and soon become fluent in the symbolic language at the core of modern logic. The program allows students to build three-dimensional worlds and then describe them in first-order logic. The program, compatible with Macintosh and Windows formats, also contains a unique and effective corrective tool in the form of a game, which methodically leads students back through their errors if they wrongly evaluate the sentences in the constructed worlds.

A brand new feature in this revised and expanded edition is student access to Grade Grinder, an innovative Internet-based grading service that provides accurate and timely feedback to students whenever they need it. Students can submit solutions for the program’s more than 100 exercises to the Grade Grinder for assessment, and the results are returned quickly to the students and optionally to the teacher as well. A web-based interface also allows instructors to manage assignments and grades for their classes.

Intended as a supplement to a standard logic text, Tarski’s World is an essential tool for helping students learn the language of logic.
 
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cover of Teaching the  Quadrivium: A Guide for Instructors

Teaching the Quadrivium

A Guide for Instructors

Peter Ulrickson

Catholic University of America Press, 2023

Reviving an educational tradition involves a double task. A new generation of students must be taught, and at the same time the teachers themselves must learn. This book addresses the teachers who seek to hand on the quadrivium-the four mathematical liberal arts of arithmetic, geometry, music, and astronomy-at the same time as they acquire it. Two components run in parallel throughout the book. The first component is practical. Weekly overviews and daily lesson plans explain how to complete the study of A Brief Quadrivium in the course of a single school year, and suggestions for weekly assessments make it easy to plan tests and monitor student progress. The second component is directed to the continuing education of the teacher. Short essays explore the history, philosophy, and practice of mathematics. The themes of these essays are coordinated with the simultaneous mathematical work being done by students, allowing the teacher to instruct more reflectively. Some users of this book are confident in their grasp of mathematics and natural science. For them, the essays will clarify the unity of mathematical activity over time and reveal the old roots of new developments. Other users of this book, including some parents who school their children at home, find mathematics intimidating. The clear structure of the lesson plans, and the support of the companion essays, give them the confidence to lead students through a demanding but doable course of study. The British mathematician John Edensor Littlewood remarked that one finds in the ancient mathematicians not “clever schoolboys” but rather “Fellows of another College.” This guide invites all teachers of the quadrivium to join the enduring mathematical culture of Littlewood and his predecessors, and to witness for themselves the significance and vitality of a tradition as old as Pythagoras.
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cover of The American and Japanese Auto Industries in Transition: Report of the Joint U.S.–Japan Automotive Study

The American and Japanese Auto Industries in Transition

Report of the Joint U.S.–Japan Automotive Study

Robert E. Cole and Taizo Yakushiji, Editors

University of Michigan Press, 1984

This report was prepared for the Policy Board by the U.S. and Japanese research staffs of the Joint U.S.–Japan Automotive Study under the general direction of Professors Paul W. McCracken and Keichi Oshima, with research operations organized and coordinated by Robert E. Cole on the U.S. side, in close communication with the Taizo Yakushiji on the Japanese side. [preface]
In view of the importance of stable, long-term economic relationships between Japan and the United States, automotive issues have to be dealt with in ways consistent with the joint prosperity of both countries. Furthermore, the current economic friction has the potential to adversely affect future political relationships. Indeed, under conditions of economic stagnation, major economic issues inevitably become political issues.
With these considerations in mind, the Joint U.S.–Japan Automotive Study project was started in September 1981 to determine the conditions that will allow for the prosperous coexistence of the respective automobile industries. During this two-year study, we have identified four driving forces that will play a major role in determining the future course of the automotive industry of both countries. These are: (1) consumers’ demands and aspirations vis-à-vis automobiles; (2) flexible manufacturing systems (FMS); (3) rapidly evolving technology; and (4) the internationalization of the automotive industry. [exec. summary]
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cover of The Best of All Possible Worlds: Mathematics and Destiny

The Best of All Possible Worlds

Mathematics and Destiny

Ivar Ekeland

University of Chicago Press, 2006

Optimists believe this is the best of all possible worlds. And pessimists fear that might really be the case. But what is the best of all possible worlds? How do we define it? Is it the world that operates the most efficiently? Or the one in which most people are comfortable and content? Questions such as these have preoccupied philosophers and theologians for ages, but there was a time, during the seventeenth and eighteenth centuries, when scientists and mathematicians felt they could provide the answer.

This book is their story. Ivar Ekeland here takes the reader on a journey through scientific attempts to envision the best of all possible worlds. He begins with the French physicist Maupertuis, whose least action principle asserted that everything in nature occurs in the way that requires the least possible action. This idea, Ekeland shows, was a pivotal breakthrough in mathematics, because it was the first expression of the concept of optimization, or the creation of systems that are the most efficient or functional. Although the least action principle was later elaborated on and overshadowed by the theories of Leonhard Euler and Gottfried Leibniz, the concept of optimization that emerged from it is an important one that touches virtually every scientific discipline today. 

Tracing the profound impact of optimization and the unexpected ways in which it has influenced the study of mathematics, biology, economics, and even politics, Ekeland reveals throughout how the idea of optimization has driven some of our greatest intellectual breakthroughs. The result is a dazzling display of erudition—one that will be essential reading for popular-science buffs and historians of science alike.

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cover of The Broken Dice, and Other Mathematical Tales of Chance

The Broken Dice, and Other Mathematical Tales of Chance

Ivar Ekeland

University of Chicago Press, 1993

Ivar Ekeland extends his consideration of the catastrophe theory of the universe begun in his widely acclaimed Mathematics and the Unexpected, by drawing on rich literary sources, particularly the Norse saga of Saint Olaf, and such current topics as chaos theory, information theory, and particle physics.

"Ivar Ekeland gained a large and enthusiastic following with Mathematics and the Unexpected, a brilliant and charming exposition of fundamental new discoveries in the theory of dynamical systems. The Broken Dice continues the same theme, and in the same elegant, seemingly effortless style, but focuses more closely on the implications of those discoveries for the rest of human culture. What are chance and probability? How has our thinking about them been changed by the discovery of chaos? What are all of these concepts good for? . . . Ah, but, I mustn't give the game away, any more than I should if I were reviewing a detective novel. And this is just as gripping a tale. . . . Beg, borrow, or preferably buy a copy. . . . I guarantee you won't be disappointed."—Ian Stewart, Science
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cover of The Calculus: A Genetic Approach

The Calculus

A Genetic Approach

Otto Toeplitz

University of Chicago Press, 2007

When first published posthumously in 1963, this bookpresented a radically different approach to the teaching of calculus.  In sharp contrast to the methods of his time, Otto Toeplitz did not teach calculus as a static system of techniques and facts to be memorized. Instead, he drew on his knowledge of the history of mathematics and presented calculus as an organic evolution of ideas beginning with the discoveries of Greek scholars, such as Archimedes, Pythagoras, and Euclid, and developing through the centuries in the work of Kepler, Galileo, Fermat, Newton, and Leibniz. Through this unique approach, Toeplitz summarized and elucidated the major mathematical advances that contributed to modern calculus.

Reissued for the first time since 1981 and updated with a new foreword, this classic text in the field of mathematics is experiencing a resurgence of interest among students and educators of calculus today.

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cover of The Chicago Guide to Writing about Multivariate Analysis, Second Edition

The Chicago Guide to Writing about Multivariate Analysis, Second Edition

Jane E. Miller

University of Chicago Press, 2013

Many different people, from social scientists to government agencies to business professionals, depend on the results of multivariate models to inform their decisions.  Researchers use these advanced statistical techniques to analyze relationships among multiple variables, such as how exercise and weight relate to the risk of heart disease, or how unemployment and interest rates affect economic growth. Yet, despite the widespread need to plainly and effectively explain the results of multivariate analyses to varied audiences, few are properly taught this critical skill.

The Chicago Guide to Writing about Multivariate Analysis
is the book researchers turn to when looking for guidance on how to clearly present statistical results and break through the jargon that often clouds writing about applications of statistical analysis. This new edition features even more topics and real-world examples, making it the must-have resource for anyone who needs to communicate complex research results.

For this second edition, Jane E. Miller includes four new chapters that cover writing about interactions, writing about event history analysis, writing about multilevel models, and the “Goldilocks principle” for choosing the right size contrast for interpreting results for different variables. In addition, she has updated or added numerous examples, while retaining her clear voice and focus on writers thinking critically about their intended audience and objective. Online podcasts, templates, and an updated study guide will help readers apply skills from the book to their own projects and courses.

This continues to be the only book that brings together all of the steps involved in communicating findings based on multivariate analysis—finding data, creating variables, estimating statistical models, calculating overall effects, organizing ideas, designing tables and charts, and writing prose—in a single volume. When aligned with Miller’s twelve fundamental principles for quantitative writing, this approach will empower readers—whether students or experienced researchers—to communicate their findings clearly and effectively.
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cover of The Chicago Guide to Writing about Numbers, Second Edition

The Chicago Guide to Writing about Numbers, Second Edition

Jane E. Miller

University of Chicago Press, 2015

Earning praise from scientists, journalists, faculty, and students, The Chicago Guide to Writing about Numbers has helped thousands of writers communicate data clearly and effectively. Its publication offered a much-needed bridge between good quantitative analysis and clear expository writing, using straightforward principles and efficient prose. With this new edition, Jane Miller draws on a decade of additional experience and research, expanding her advice on reaching everyday audiences and further integrating non-print formats.
Miller, an experienced teacher of research methods, statistics, and research writing, opens by introducing a set of basic principles for writing about numbers, then presents a toolkit of techniques that can be applied to prose, tables, charts, and presentations. Throughout the book, she emphasizes flexibility, showing writers that different approaches work for different kinds of data and different types of audiences.

The second edition adds a chapter on writing about numbers for lay audiences, explaining how to avoid overwhelming readers with jargon and technical issues. Also new is an appendix comparing the contents and formats of speeches, research posters, and papers, to teach writers how to create all three types of communication without starting each from scratch. An expanded companion website includes new multimedia resources such as slide shows and podcasts that illustrate the concepts and techniques, along with an updated study guide of problem sets and suggested course extensions.

This continues to be the only book that brings together all the tasks that go into writing about numbers, integrating advice on finding data, calculating  statistics, organizing ideas, designing tables and charts, and writing prose all in one volume. Field-tested with students and professionals alike, this holistic book is the go-to guide for everyone who writes or speaks about numbers.
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cover of The Cult of Statistical Significance: How the Standard Error Costs Us Jobs, Justice, and Lives

The Cult of Statistical Significance

How the Standard Error Costs Us Jobs, Justice, and Lives

Stephen T. Ziliak and Deirdre N. McCloskey

University of Michigan Press, 2010

“McCloskey and Ziliak have been pushing this very elementary, very correct, very important argument through several articles over several years and for reasons I cannot fathom it is still resisted. If it takes a book to get it across, I hope this book will do it. It ought to.”

—Thomas Schelling, Distinguished University Professor, School of Public Policy, University of Maryland, and 2005 Nobel Prize Laureate in Economics

“With humor, insight, piercing logic and a nod to history, Ziliak and McCloskey show how economists—and other scientists—suffer from a mass delusion about statistical analysis. The quest for statistical significance that pervades science today is a deeply flawed substitute for thoughtful analysis. . . . Yet few participants in the scientific bureaucracy have been willing to admit what Ziliak and McCloskey make clear: the emperor has no clothes.”

—Kenneth Rothman, Professor of Epidemiology, Boston University School of Health

The Cult of Statistical Significance shows, field by field, how “statistical significance,” a technique that dominates many sciences, has been a huge mistake. The authors find that researchers in a broad spectrum of fields, from agronomy to zoology, employ “testing” that doesn’t test and “estimating” that doesn’t estimate. The facts will startle the outside reader: how could a group of brilliant scientists wander so far from scientific magnitudes? This study will encourage scientists who want to know how to get the statistical sciences back on track and fulfill their quantitative promise. The book shows for the first time how wide the disaster is, and how bad for science, and it traces the problem to its historical, sociological, and philosophical roots.

Stephen T. Ziliak is the author or editor of many articles and two books. He currently lives in Chicago, where he is Professor of Economics at Roosevelt University. Deirdre N. McCloskey, Distinguished Professor of Economics, History, English, and Communication at the University of Illinois at Chicago, is the author of twenty books and three hundred scholarly articles. She has held Guggenheim and National Humanities Fellowships. She is best known for How to Be Human* Though an Economist (University of Michigan Press, 2000) and her most recent book, The Bourgeois Virtues: Ethics for an Age of Commerce (2006).

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cover of The Decomposition of Figures Into Smaller Parts

The Decomposition of Figures Into Smaller Parts

Vladimir Grigor'evich Boltyanskii and Izrail' Tsudikovich Gokhberg

University of Chicago Press, 1980

In contrast to the vast literature on Euclidean geometry as a whole, little has been published on the relatively recent developments in the field of combinatorial geometry. Boltyanskii and Gohberg's book investigates this area, which has undergone particularly rapid growth in the last thirty years. By restricting themselves to two dimensions, the authors make the book uniquely accessible to interested high school students while maintaining a high level of rigor. They discuss a variety of problems on figures of constant width, convex figures, coverings, and illumination. The book offers a thorough exposition of the problem of cutting figures into smaller pieces. The central theorem gives the minimum number of pieces into which a figure can be divided so that all the pieces are of smaller diameter than the original figure. This theorem, which serves as a basis for the rest of the material, is proved for both the Euclidean plane and Minkowski's plane.
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cover of The First Electronic Computer: The Atanasoff Story

The First Electronic Computer

The Atanasoff Story

Alice R. Burks and Arthur W. Burks

University of Michigan Press, 1989

The First Electronic Computer is a groundbreaking historical and technical account of John Vincent Atanasoff’s revolutionary work on the world’s first electronic digital computer. Drawing upon years of meticulous research and firsthand experience, coauthors Alice and Arthur Burks trace the remarkable journey of Atanasoff—from his early life and education to his pivotal innovations at Iowa State College in the late 1930s and early 1940s.Atanasoff’s machine—the Atanasoff-Berry Computer (ABC)—proved the feasibility of electronic computation and introduced key concepts, such as electronic switching and regenerative memory, that became foundational to the digital computers that followed. The authors present detailed narratives of Atanasoff’s collaboration with graduate student Clifford Berry and recount the critical sequence of events that linked his invention to the famous ENIAC, commonly celebrated as the first general-purpose electronic computer.With depth and clarity, the book delves into the technical design, development, and operation of the ABC, while candidly addressing the major controversies surrounding computing history. The Burkses examine the intricate web of correspondence, personal interactions, and legal battles—especially the landmark Honeywell v. Sperry Rand patent case—culminating in the federal court’s recognition of Atanasoff’s precedence over ENIAC.Rich in technical detail and engaging historical narrative, The First Electronic Computer offers readers an unparalleled look at the origins of one of the most significant technological revolutions of the twentieth century, acknowledging Atanasoff’s contributions and clarifying his enduring legacy in computing history.
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cover of The Good Life in the Scientific Revolution: Descartes, Pascal, Leibniz, and the Cultivation of Virtue

The Good Life in the Scientific Revolution

Descartes, Pascal, Leibniz, and the Cultivation of Virtue

Matthew L. Jones

University of Chicago Press, 2006

Amid the unrest, dislocation, and uncertainty of seventeenth-century Europe, readers seeking consolation and assurance turned to philosophical and scientific books that offered ways of conquering fears and training the mind—guidance for living a good life.

The Good Life in the Scientific Revolution presents a triptych showing how three key early modern scientists, René Descartes, Blaise Pascal, and Gottfried Leibniz, envisioned their new work as useful for cultivating virtue and for pursuing a good life. Their scientific and philosophical innovations stemmed in part from their understanding of mathematics and science as cognitive and spiritual exercises that could create a truer mental and spiritual nobility.  In portraying the rich contexts surrounding Descartes’ geometry, Pascal’s arithmetical triangle, and Leibniz’s calculus, Matthew L. Jones argues that this drive for moral therapeutics guided important developments of early modern philosophy and the Scientific Revolution.

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cover of The Hidden Game of Baseball: A Revolutionary Approach to Baseball and Its Statistics

The Hidden Game of Baseball

A Revolutionary Approach to Baseball and Its Statistics

John Thorn, Pete Palmer, with David Reuther

University of Chicago Press, 2015

Long before Moneyball became a sensation or Nate Silver turned the knowledge he’d honed on baseball into electoral gold, John Thorn and Pete Palmer were using statistics to shake the foundations of the game. First published in 1984, The Hidden Game of Baseball ushered in the sabermetric revolution by demonstrating that we were thinking about baseball stats—and thus the game itself—all wrong. Instead of praising sluggers for gaudy RBI totals or pitchers for wins, Thorn and Palmer argued in favor of more subtle measurements that correlated much more closely to the ultimate goal: winning baseball games.
            The new gospel promulgated by Thorn and Palmer opened the door for a flood of new questions, such as how a ballpark’s layout helps or hinders offense or whether a strikeout really is worse than another kind of out. Taking questions like these seriously—and backing up the answers with data—launched a new era, showing fans, journalists, scouts, executives, and even players themselves a new, better way to look at the game.
            This brand-new edition retains the body of the original, with its rich, accessible analysis rooted in a deep love of baseball, while adding a new introduction by the authors tracing the book’s influence over the years. A foreword by ESPN’s lead baseball analyst, Keith Law, details The Hidden Game’s central role in the transformation of baseball coverage and team management and shows how teams continue to reap the benefits of Thorn and Palmer’s insights today. Thirty years after its original publication, The Hidden Game is still bringing the high heat—a true classic of baseball literature.
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cover of The Hidden Game of Football: A Revolutionary Approach to the Game and Its Statistics

The Hidden Game of Football

A Revolutionary Approach to the Game and Its Statistics

Bob Carroll, Pete Palmer, and John Thorn

University of Chicago Press, 2023

The 1988 cult classic behind football’s data analytics revolution, now back in print with a new foreword and preface.

Data analytics have revolutionized football. With play sheets informed by advanced statistical analysis, today’s coaches pass more, kick less, and go for more two-point or fourth-down conversions than ever before. In 1988, sportswriters Bob Carroll, Pete Palmer, and John Thorn proposed just this style of play in The Hidden Game of Football, but at the time baffled readers scoffed at such a heartless approach to the game. Football was the ultimate team sport and unlike baseball could not be reduced to pure probabilities. Nevertheless, the book developed a cult following among analysts who, inspired by its unorthodox methods, went on to develop the core metrics of football analytics used today: win probability, expected points, QBR, and more. With a new preface by Thorn and Palmer and a new foreword by Football Outsiders’s Aaron Schatz, The Hidden Game of Football remains an essential resource for armchair coaches, fantasy managers, and fans of all stripes.
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cover of The Logic of Decision

The Logic of Decision

Richard C. Jeffrey

University of Chicago Press, 1990

"[This book] proposes new foundations for the Bayesian principle of rational action, and goes on to develop a new logic of desirability and probabtility."—Frederic Schick, Journal of Philosophy
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cover of The Martin Gardner Bibliography

The Martin Gardner Bibliography

Edited by Dana Richards

CSLI, 2023

The first comprehensive bibliography of the publications of polymath Martin Gardner.

Martin Gardner (1914–2010) was a polymath whose international reputation extended from mathematics to literature, philosophy to science, and magic to fiction. This comprehensive bibliography covers every aspect of Gardner’s lengthy publishing career, from 1930 to 2010, and features detailed descriptions and indices of his writings on mathematics and many other topics. Editor Dana Richards worked directly with Gardner on this project from 1978 until Gardner’s death; it draws on the two hundred boxes of Gardner’s mathematical papers held in the Stanford archives
 
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cover of The Math Mafia: How a Persistent Group of Reformers Standardized American Education

The Math Mafia

How a Persistent Group of Reformers Standardized American Education

Emily T. Hamilton

University of Alabama Press, 2026

How Cold War urgency, academic ambition, and federal power converged to make math the cornerstone of American education policy.

The Math Mafia by Emily T. Hamilton is a historical account of mathematics education reform in twentieth-century America and how that movement played a role in shaping the broader contours of national education policy. Hamilton contends that a cohesive and well-organized community of advocates was instrumental in the rise of standardized testing and curriculum reforms, as well as federal involvement in classrooms, especially during the Cold War. By positioning mathematics as central to national strength and security, these reformers established math education as a key area of federal focus.

The “mafia” at the center of Hamilton’s story includes mathematicians, educators, and researchers from universities, as well as members of government-funded organizations such as the National Science Foundation and various educational psychology circles. Prominent figures such as Edward Begle, who led the School Mathematics Study Group during the “new math” movement, played key roles. Other influential participants include federal education officials, advocates from professional organizations such as the National Council of Teachers of Mathematics, and cognitive scientists, who contributed both research and theoretical frameworks that informed curriculum design and assessment methods.

The Math Mafia offers historians, educators, policymakers, and other interested readers a compelling perspective on the legacy of the math education reforms on federal education policy in the United States and is a welcome contribution to ongoing discourse around “teaching toward the test,” educational equity, school performance, and other hot-button issues in US education today.

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cover of The Nature of Scientific Evidence: Statistical, Philosophical, and Empirical Considerations

The Nature of Scientific Evidence

Statistical, Philosophical, and Empirical Considerations

Edited by Mark L. Taper and Subhash R. Lele

University of Chicago Press, 2004

An exploration of the statistical foundations of scientific inference, The Nature of Scientific Evidence asks what constitutes scientific evidence and whether scientific evidence can be quantified statistically. Mark Taper, Subhash Lele, and an esteemed group of contributors explore the relationships among hypotheses, models, data, and inference on which scientific progress rests in an attempt to develop a new quantitative framework for evidence. Informed by interdisciplinary discussions among scientists, philosophers, and statisticians, they propose a new "evidential" approach, which may be more in keeping with the scientific method. The Nature of Scientific Evidence persuasively argues that all scientists should care more about the fine points of statistical philosophy because therein lies the connection between theory and data.

Though the book uses ecology as an exemplary science, the interdisciplinary evaluation of the use of statistics in empirical research will be of interest to any reader engaged in the quantification and evaluation of data.
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cover of The New Math: A Political History

The New Math

A Political History

Christopher J. Phillips

University of Chicago Press, 2014

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. It was also the era of new math. Introduced to US schools in the late 1950s and 1960s, the new math was a curricular answer to Cold War fears of American intellectual inadequacy. In the age of Sputnik and increasingly sophisticated technological systems and machines, math class came to be viewed as a crucial component of the education of intelligent, virtuous citizens who would be able to compete on a global scale.

In this history, Christopher J. Phillips examines the rise and fall of the new math as a marker of the period’s political and social ferment. Neither the new math curriculum designers nor its diverse legions of supporters concentrated on whether the new math would improve students’ calculation ability. Rather, they felt the new math would train children to think in the right way, instilling in students a set of mental habits that might better prepare them to be citizens of modern society—a world of complex challenges, rapid technological change, and unforeseeable futures. While Phillips grounds his argument in shifting perceptions of intellectual discipline and the underlying nature of mathematical knowledge, he also touches on long-standing debates over the place and relevance of mathematics in liberal education. And in so doing, he explores the essence of what it means to be an intelligent American—by the numbers.
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cover of The Optics of Ibn al-Haytham Books IV–V: On Reflection and Images Seen by Reflection

The Optics of Ibn al-Haytham Books IV–V

On Reflection and Images Seen by Reflection

Abdelhamid I. Sabra

University of London Press, 2023

Books four and five of a landmark seven-volume work of medieval scientific study of optics.

Ibn al-Haytham was perhaps the greatest mathematician and physicist of the medieval Arabic/Islamic world. The most famous book in which he applied his scientific method is his Optics, through which he dealt with both the mathematics of rays of light and the physical aspects of the eye in seven comprehensive books. His rethinking of the entire science of optics set the scene for the whole of the subsequent development of the subject, influencing figures such as William of Ockham, Kepler, Descartes, and Christaan Huygens. The immense work of editing, translating into English, and commenting on this work was undertaken by Abdelhamid I. Sabra. This English translation of Books IV–V was completed by Sabra just before his death in 2013 with an introduction and critical analysis. It has been extensively revised by Jan Hogendijk.
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cover of The Organism Is a Theory: Giuseppe Longo on Biology, Mathematics, and AI

The Organism Is a Theory

Giuseppe Longo on Biology, Mathematics, and AI

Giuseppe Longo

University of Minnesota Press, 2026

A bold reimagining of life that bridges science, philosophy, cybernetics, and the complexities of biological existence
 

The Organism Is a Theory is an intriguing synthesis of decades of interdisciplinary research by eminent mathematician and biological scientist Giuseppe Longo. A unique collaboration between Longo and philosopher of technology Adam Nocek, the volume confronts foundational issues in the history of mathematics, computer science, physics, and theoretical biology.

 

Challenging conventional approaches that apply computational and formalist models to the biological world, Longo reveals how the limitations of these models hinder the understanding of organismic complexity, development, and evolution. Through a critique of dominant scientific paradigms, he emphasizes the need for a new biological theory that accounts for the temporal and spatial intricacies of life. Enhanced by Nocek’s comprehensive introduction and a fascinating three-part interview with Longo, The Organism Is a Theory offers a bold rethinking of the biosciences, integrating the work of Alan Turing, Bernhard Riemann, Henri Poincaré, Kurt Gödel, and others into Longo’s vision of critical biology.

 

Bridging scientific and philosophical discourses, this book creatively applies insights from mathematics, physics, and computing into the study of the organism to present a new theoretical approach to understanding biological complexity that resists reductive mechanistic and informatic explanations.

 

 

Retail e-book files for this title are screen-reader friendly with image accompanied by short alt text and/or extended description.

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cover of The Shaping of American Liberalism: The Debates over Ratification, Nullification, and Slavery

The Shaping of American Liberalism

The Debates over Ratification, Nullification, and Slavery

David F. Ericson

University of Chicago Press, 1993

In The Liberal Tradition in America (1955), Louis Hartz first put forth his thesis that the American political tradition derives essentially from consensual liberal principles. The many detractors to this theory include Bernard Bailyn, who argued that preliberal, republican values initially held sway in eighteenth-century American politics. In The Shaping of American Liberalism, David Ericson offers an innovative reinterpretation of both positions by redefining the terms of the argument.

Focusing on three critical debates in American history—the debate between Anti-Federalists and Federalists over the ratification of the Constitution; the debate between the national republicans and the states-rights republicans over the nullification of the tariff; and the Lincoln-Douglas debates over slavery and pluralist democracy—Ericson shows that republicanism, rather than being opposed to liberalism, is in fact an offshoot of it. His descriptions of republicanism and pluralism represent the poles of an evolving tradition of liberal ideas in America: the former championing the claims of the public sphere, general welfare, and civic virtue; the latter protecting the rights of the individual to liberty, property, and privacy.

Republicanism and pluralism are therefore more properly understood as two sets of competing ideas that evolved from common roots. Ericson concludes that although republican themes persist in American politics, the profound transformations brought about by the Civil War made the ascendancy of pluralism virtually inevitable.

This highly original discussion of the relation between liberalism and republicanism—the central concern of much of the recent scholarship in American political thought—will be important reading for those interested in American politics, history, and culture.
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cover of The Situation in Logic

The Situation in Logic

Jon Barwise

CSLI, 1989

Situation theory and situation semantics are recent approaches to language and inforamtion, approaches first formulated by Jon Barwise amd John Perry in Situations and Attitudes (1983). The present volume collects some of Barwise's papers written since then, those directly concerned with relations between logic, situation theory, and situation semantics. Several appers appear here mfor the first time. JON BARWISE is director of the Symbolic Systems Program and professor of philosophy at Stanford University and a researcher at CSLI.
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cover of The Subject Matters: Classroom Activity in Math and Social Studies

The Subject Matters

Classroom Activity in Math and Social Studies

Susan S. Stodolsky

University of Chicago Press, 1988

To achieve quality education in American schools, we need a better understanding of the way classroom instruction works. Susan S. Stodolsky addresses this need with her pioneering analysis of the interrelations between forms of instruction, levels of student involvement, and subject matter. Her intensive observation of fifth-grade math and social studies classes reveals that subject matter, a variable overlooked in recent research, has a profound effect on instructional practice.

Stodolsky presents a challenge to educational research. She shows that classroom activities are coherent actions shaped by the instructional context—especially what is taught. Stodolsky contradicts the received view of both teaching and learning as uniform and consistent. Individual teachers arrange instruction very differently, depending on what they are teaching, and students respond to instruction very differently, depending on the structure and demands of the lesson.

The instructional forms used in math classes, a "basic" subject, and social studies classes, an "enrichment" subject, differ even when the same teacher conducts both classes. Social studies classes show more diversity in activities, while math classes are very similar to one another. Greater variety is found in social studies within a given teacher's class and when different teachers' classes are compared. Nevertheless, in the classrooms Stodolsky studied, the range of instructional arrangements is very constricted.

Challenging the "back to basics" movement, Stodolsky's study indicates that, regardless of subject matter, students are more responsive to instruction that requires a higher degree of intellectual complexity and performance, to learning situations that involve them in interaction with their peers, and to active modes of learning. Stodolsky also argues that students develop ideas about how to learn a school subject, such as math, by participating in particular activities tied to instruction in the subject. These conceptions about learning are unplanned but enduring and significant consequences of schooling.

The Subject Matters has important implications for instructional practice and the training, education, and supervision of teachers. Here is a new way of understanding the dynamics of teaching and learning that will transform how we think about schools and how we study them.
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cover of The Tbilisi Symposium on Logic, Language and Computation: Selected Papers

The Tbilisi Symposium on Logic, Language and Computation

Selected Papers

Edited by Jonathan Ginzburg, Zurab Khasidashvili, Carl Vogel, Jean-Jacques Lévy,

CSLI, 1998

This volume brings together papers from linguists, logicians, and computer scientists from thirteen countries (Armenia, Denmark, France, Georgia, Germany, Israel, Italy, Japan, Poland, Spain, Sweden, UK, and USA). This collection aims to serve as a catalyst for new interdisciplinary developments in language, logic and computation and to introduce new ideas from the expanded European academic community. Spanning a wide range of disciplines, the papers cover such topics as formal semantics of natural language, dynamic semantics, channel theory, formal syntax of natural language, formal language theory, corpus-based methods in computational linguistics, computational semantics, syntactic and semantic aspects of l-calculus, non-classical logics, and a fundamental problem in predicate logic.
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cover of The Topological Classification of Stratified Spaces

The Topological Classification of Stratified Spaces

Shmuel Weinberger

University of Chicago Press, 1994

This book provides the theory for stratified spaces, along with important examples and applications, that is analogous to the surgery theory for manifolds. In the first expository account of this field, Weinberger provides topologists with a new way of looking at the classification theory of singular spaces with his original results.

Divided into three parts, the book begins with an overview of modern high-dimensional manifold theory. Rather than including complete proofs of all theorems, Weinberger demonstrates key constructions, gives convenient formulations, and shows the usefulness of the technology. Part II offers the parallel theory for stratified spaces. Here, the topological category is most completely developed using the methods of "controlled topology." Many examples illustrating the topological invariance and noninvariance of obstructions and characteristic classes are provided. Applications for embeddings and immersions of manifolds, for the geometry of group actions, for algebraic varieties, and for rigidity theorems are found in Part III.

This volume will be of interest to topologists, as well as mathematicians in other fields such as differential geometry, operator theory, and algebraic geometry.
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The Total Survey Error Approach

A Guide to the New Science of Survey Research

Herbert F. Weisberg

University of Chicago Press, 2005

In 1939, George Gallup's American Institute of Public Opinion published a pamphlet optimistically titled The New Science of Public Opinion Measurement. At the time, though, survey research was in its infancy, and only now, six decades later, can public opinion measurement be appropriately called a science, based in part on the development of the total survey error approach.

Herbert F. Weisberg's handbook presents a unified method for conducting good survey research centered on the various types of errors that can occur in surveys—from measurement and nonresponse error to coverage and sampling error. Each chapter is built on theoretical elements drawn from specific disciplines, such as social psychology and statistics, and follows through with detailed treatments of the specific types of error and their potential solutions. Throughout, Weisberg is attentive to survey constraints, including time and ethical considerations, as well as controversies within the field and the effects of new technology on the survey process—from Internet surveys to those completed by phone, by mail, and in person. Practitioners and students will find this comprehensive guide particularly useful now that survey research has assumed a primary place in both public and academic circles.
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cover of The Unexpected Hanging and Other Mathematical Diversions

The Unexpected Hanging and Other Mathematical Diversions

Martin Gardner

University of Chicago Press, 1991

Seasoned with Gardner's interest in the history and philosophy of science, this delightful book is a treasure-trove of puzzles, anecdotes, games, and logical theory. These intriguing problems, collected from Gardner's Scientific American columns, involve knots, interlocking rings, rotations and reflections, logical paradox, two-dimensional universes, chess strategies, and gambling odds.

"Gardner conjures problems that are both profound and silly; exquisite truths and outrageous absurdities; paradoxes, anagrams, palindromes and party tricks. . . . He knows, better than most, how many amazing true things there are in the world."—Newsweek
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cover of The Universe in Thirteen Graphs: Charting Cosmic Discoveries Across Space and Time

The Universe in Thirteen Graphs

Charting Cosmic Discoveries Across Space and Time

Chris Lintott, Jeffrey Grube, and Daina Bouquin

University of Chicago Press, 2027

See the Universe as astronomers do: These thirteen graphs distill the cutting-edge discoveries of the cosmos—from planets and stars to galaxies, to ripples in spacetime itself.

From the front page of newspapers to your favorite t-shirt, the visual language of the cosmos is pervasive. Yet while you may have seen stunning images of planets, nebulae, and even the shadow of a black hole, pretty pictures alone cannot reveal the universe. Whether you’re looking for planets outside our solar system, searching for dark matter, listening for ripples in spacetime, or looking back to very early times, to truly understand the cosmos you need graphs.

In this fully illustrated and engaging book, astronomers Chris Lintott and Jeffrey Grube and data scientist Daina Bouquin focus on thirteen graphs to offer a tour of the major astronomical discoveries of the last century. Meet the HR diagram, which tells us about stellar lives; marvel at the Hubble diagram’s evidence for the expansion of the Universe; understand special relativity through Minkowski spacetime; and turn back time to the earliest visible light of the cosmic microwave background. With fascinating stories of discovery and accessible science for understanding ongoing debates, this book proves that while a picture may be worth a thousand words, a graph can show you the universe.

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cover of The Wiener-Hopf Method in Electromagnetics

The Wiener-Hopf Method in Electromagnetics

Vito G. Daniele

The Institution of Engineering and Technology, 2014

This advanced research monograph is devoted to the Wiener-Hopf technique, a function-theoretic method that has found applications in a variety of fields, most notably in analytical studies of diffraction and scattering of waves. It provides a comprehensive treatment of the subject and covers the latest developments, illustrates the wide range of possible applications for this method, and includes an extensive outline of the most powerful analytical tool for the solution of diffraction problems.
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cover of Thinking Through Statistics

Thinking Through Statistics

John Levi Martin

University of Chicago Press, 2018

Simply put, Thinking Through Statistics is a primer on how to maintain rigorous data standards in social science work, and one that makes a strong case for revising the way that we try to use statistics to support our theories. But don’t let that daunt you. With clever examples and witty takeaways, John Levi Martin proves himself to be a most affable tour guide through these scholarly waters.

Martin argues that the task of social statistics isn't to estimate parameters, but to reject false theory. He illustrates common pitfalls that can keep researchers from doing just that using a combination of visualizations, re-analyses, and simulations. Thinking Through Statistics gives social science practitioners accessible insight into troves of wisdom that would normally have to be earned through arduous trial and error, and it does so with a lighthearted approach that ensures this field guide is anything but stodgy.
 
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cover of Time Warps, String Edits, and Macromolecules: The Theory and Practice of Sequence Comparision

Time Warps, String Edits, and Macromolecules

The Theory and Practice of Sequence Comparision

David Sankoff and Joseph Kruskal

CSLI, 1983

Time Warps, String Edits and Macromolecules is a young classic in computational science. The computational perspective is that of sequence processing, in particular the problem of recognizing related sequences. The book is the first, and still best compilation of papers explaining how to measure distance between sequences, and how to compute that measure effectively. This is called string distance, Levenshtein distance, or edit distance. The book contains lucid explanations of the basic techniques; well-annotated examples of applications; mathematical analysis of its computational (algorithmic) complexity; and extensive discussion of the variants needed for weighted measures, timed sequences (songs), applications to continuous data, comparison of multiple sequences and extensions to tree-structures. This theory finds applications in molecular biology, speech recognition, analysis of bird song and error correcting in computer software.
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Topics in Analytic Number Theory

Edited by Sidney W. Graham and Jeffrey D. Vaaler

University of Texas Press, 1985

This collection of research papers, originally published in 1985, brings together twelve articles by distinguished contributors.
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Topics in Geometric Group Theory

Pierre de la Harpe

University of Chicago Press, 2000

In this book, Pierre de la Harpe provides a concise and engaging introduction to geometric group theory, a new method for studying infinite groups via their intrinsic geometry that has played a major role in mathematics over the past two decades. A recognized expert in the field, de la Harpe adopts a hands-on approach, illustrating key concepts with numerous concrete examples.

The first five chapters present basic combinatorial and geometric group theory in a unique and refreshing way, with an emphasis on finitely generated versus finitely presented groups. In the final three chapters, de la Harpe discusses new material on the growth of groups, including a detailed treatment of the "Grigorchuk group." Most sections are followed by exercises and a list of problems and complements, enhancing the book's value for students; problems range from slightly more difficult exercises to open research problems in the field. An extensive list of references directs readers to more advanced results as well as connections with other fields.
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cover of Topics in the Foundations of General Relativity and Newtonian Gravitation Theory

Topics in the Foundations of General Relativity and Newtonian Gravitation Theory

David B. Malament

University of Chicago Press, 2012

In Topics in the Foundations of General Relativity and Newtonian Gravitation Theory, David B. Malament presents the basic logical-mathematical structure of general relativity and considers a number of special topics concerning the foundations of general relativity and its relation to Newtonian gravitation theory. These special topics include the geometrized formulation of Newtonian theory (also known as Newton-Cartan theory), the concept of rotation in general relativity, and Gödel spacetime. One of the highlights of the book is a no-go theorem that can be understood to show that there is no criterion of orbital rotation in general relativity that fully answers to our classical intuitions. Topics is intended for both students and researchers in mathematical physics and philosophy of science.
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Torsion-Free Modules

Eben Matlis

University of Chicago Press, 1973

The subject of torsion-free modules over an arbitrary integral domain arises naturally as a generalization of torsion-free abelian groups. In this volume, Eben Matlis brings together his research on torsion-free modules that has appeared in a number of mathematical journals. Professor Matlis has reworked many of the proofs so that only an elementary knowledge of homological algebra and commutative ring theory is necessary for an understanding of the theory.

The first eight chapters of the book are a general introduction to the theory of torsion-free modules. This part of the book is suitable for a self-contained basic course on the subject. More specialized problems of finding all integrally closed D-rings are examined in the last seven chapters, where material covered in the first eight chapters is applied.

An integral domain is said to be a D-ring if every torsion-free module of finite rank decomposes into a direct sum of modules of rank 1. After much investigation, Professor Matlis found that an integrally closed domain is a D-ring if, and only if, it is the intersection of at most two maximal valuation rings.
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cover of Toward a History of Game Theory, Volume 24

Toward a History of Game Theory, Volume 24

E. Roy Weintraub, ed.

Duke University Press, 0

During the 1940s "game theory" emerged from the fields of mathematics and economics to provide a revolutionary new method of analysis. Today game theory provides a language for discussing conflict and cooperation not only for economists, but also for business analysts, sociologists, war planners, international relations theorists, and evolutionary biologists. Toward a History of Game Theory offers the first history of the development, reception, and dissemination of this crucial theory.

Drawing on interviews with original members of the game theory community and on the Morgenstern diaries, the first section of the book examines early work in game theory. It focuses on the groundbreaking role of the von Neumann-Morgenstern collaborative work, The Theory of Games and Economic Behavior (1944). The second section recounts the reception of this new theory, revealing just how game theory made its way into the literatures of the time and thus became known among relevant communities of scholars. The contributors explore how game theory became a wedge in opening up the social sciences to mathematical tools and use the personal recollections of scholars who taught at Michigan and Princeton in the late 1940s to show why the theory captivated those practitioners now considered to be "giants" in the field. The final section traces the flow of the ideas of game theory into political science, operations research, and experimental economics.

Contributors. Mary Ann Dimand, Robert W. Dimand, Robert J. Leonard, Philip Mirowski, Angela M. O'Rand, Howard Raiffa, Urs Rellstab, Robin E. Rider, William H. Riker, Andrew Schotter, Martin Shubik, Vernon L. Smith

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cover of Truth, Reference and Realism

Truth, Reference and Realism

Zsolt Novak

Central European University Press, 2011

The volume presents the material of the first Oxford-Budapest Conference on Truth, Reference and Realism held at CEU in 2005. The problem addressed by the conference, famously formulated by Paul Benacerraf in a paper on Mathematical Truth, was how to understand truth in the semantics of discourses about abstract domains whose objects and properties cannot be observed by sense perception. The papers of the volume focus on this semantic issue in four major fields: logic, mathematics, ethics and the metaphysics of properties in general. Beyond marking an important event, the collected papers are also substantial contributions to the above topic, from the most distinguished authors in these areas.
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