209 books match the query 'Mathematics' and 38 start with t
David Barker-Plummer, Jon Barwise, and John Etchemendy
CSLI, 2004
Peter Ulrickson
Catholic University of America Press, 2023
Robert E. Cole and Taizo Yakushiji, Editors
University of Michigan Press, 1984
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.
Ivar Ekeland
University of Chicago Press, 1993
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.
Jane E. Miller
University of Chicago Press, 2013
Jane E. Miller
University of Chicago Press, 2015
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).
Vladimir Grigor'evich Boltyanskii and Izrail' Tsudikovich Gokhberg
University of Chicago Press, 1980
Alice R. Burks and Arthur W. Burks
University of Michigan Press, 1989
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.
John Thorn, Pete Palmer, with David Reuther
University of Chicago Press, 2015
Bob Carroll, Pete Palmer, and John Thorn
University of Chicago Press, 2023
Richard C. Jeffrey
University of Chicago Press, 1990
Edited by Dana Richards
CSLI, 2023
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.
Edited by Mark L. Taper and Subhash R. Lele
University of Chicago Press, 2004
Christopher J. Phillips
University of Chicago Press, 2014

Abdelhamid I. Sabra
University of London Press, 2023
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.
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David F. Ericson
University of Chicago Press, 1993
Jon Barwise
CSLI, 1989

Susan S. Stodolsky
University of Chicago Press, 1988
Edited by Jonathan Ginzburg, Zurab Khasidashvili, Carl Vogel, Jean-Jacques Lévy,
CSLI, 1998
Shmuel Weinberger
University of Chicago Press, 1994
Herbert F. Weisberg
University of Chicago Press, 2005
Martin Gardner
University of Chicago Press, 1991

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.
Vito G. Daniele
The Institution of Engineering and Technology, 2014
John Levi Martin
University of Chicago Press, 2018
David Sankoff and Joseph Kruskal
CSLI, 1983
Edited by Sidney W. Graham and Jeffrey D. Vaaler
University of Texas Press, 1985
Pierre de la Harpe
University of Chicago Press, 2000
David B. Malament
University of Chicago Press, 2012

Eben Matlis
University of Chicago Press, 1973

E. Roy Weintraub, ed.
Duke University Press, 0
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
Zsolt Novak
Central European University Press, 2011