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Making Black Scientists
A Call to Action
Marybeth Gasman and Thai-Huy Nguyen
Harvard University Press, 2019

Americans have access to some of the best science education in the world, but too often black students are excluded from these opportunities. This essential book by leading voices in the field of education reform offers an inspiring vision of how America’s universities can guide a new generation of African Americans to success in science.

Educators, research scientists, and college administrators have all called for a new commitment to diversity in the sciences, but most universities struggle to truly support black students in these fields. Historically black colleges and universities (HBCUs) are different, though. Marybeth Gasman, widely celebrated as an education-reform visionary, and Thai-Huy Nguyen show that many HBCUs have proven adept at helping their students achieve in the sciences. There is a lot we can learn from these exemplary schools.

Gasman and Nguyen explore ten innovative schools that have increased the number of black students studying science and improved those students’ performance. Educators on these campuses have a keen sense of their students’ backgrounds and circumstances, familiarity that helps their science departments avoid the high rates of attrition that plague departments elsewhere. The most effective science programs at HBCUs emphasize teaching when considering whom to hire and promote, encourage students to collaborate rather than compete, and offer more opportunities for black students to find role models among both professors and peers.

Making Black Scientists reveals the secrets to these institutions’ striking successes and shows how other colleges and universities can follow their lead. The result is a bold new agenda for institutions that want to better serve African American students.

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Making Scientists
Six Principles for Effective College Teaching
Gregory Light and Marina Micari
Harvard University Press, 2013

For many college students, studying the hard sciences seems out of the question. Students and professors alike collude in the prejudice that physics and molecular biology, mathematics and engineering are elite disciplines restricted to a small number with innate talent. Gregory Light and Marina Micari reject this bias, arguing, based on their own transformative experiences, that environment is just as critical to academic success in the sciences as individual ability. Making Scientists lays the groundwork for a new paradigm of how scientific subjects can be taught at the college level, and how we can better cultivate scientists, engineers, and other STEM professionals.

The authors invite us into Northwestern University’s Gateway Science Workshop, where the seminar room is infused with a sense of discovery usually confined to the research lab. Conventional science instruction demands memorization of facts and formulas but provides scant opportunity for critical reflection and experimental conversation. Light and Micari stress conceptual engagement with ideas, practical problem-solving, peer mentoring, and—perhaps most important—initiation into a culture of cooperation, where students are encouraged to channel their energy into collaborative learning rather than competition with classmates. They illustrate the tangible benefits of treating students as apprentices—talented young people taking on the mental habits, perspectives, and wisdom of the scientific community, while contributing directly to its development.

Rich in concrete advice and innovative thinking, Making Scientists is an invaluable guide for all who care about the future of science and technology.

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A Manual of Intensional Logic
2nd Edition
Johan van Benthem
CSLI, 1988
Intensional logic, as understood here, is based on the broad presupposition that so-called "intensional contexts" in natural language can be explained semantically by the idea of multiple reference. The text reviews tense, modality, and conditionals, then presents developments in intensional theory, including partiality and generalized quantifiers. JOHAN van BENTHEM is professor of mathematical logic at the University of Amsterdam.
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Mapmatics
A Mathematician's Guide to Navigating the World
Paulina Rowińska
Harvard University Press

Explore the surprising connections between math and maps—and the myriad ways they’ve shaped our world and us.

Why are coastlines and borders so difficult to measure? How does a UPS driver deliver hundreds of packages in a single day? And where do elusive serial killers hide? The answers lie in the crucial connection between math and maps.

In Mapmatics, mathematician Paulina Rowińska leads us on a journey around the globe to discover how math and maps are deeply entwined, and always have been. From a sixteenth-century map, an indispensable navigation tool that exaggerates the size of northern countries, to public transport maps that both guide and confound passengers, to congressional maps that can empower or silence whole communities, maps and math have shaped not only our sense of space but our worldview. Rowińska shows that by understanding the math behind maps, we can recognize their biases. And we can appreciate the ingenious tools mathematicians are developing to resolve them.

Written with authority and compassion, wit and unforgettable storytelling, Mapmatics is math exposition at its best. By unpacking the math underlying the maps we depend on, this book illuminates how our world works, and, ultimately, how we can better look after it.

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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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Masking Inequality with Good Intentions
Systemic Bias, Counterspies, and Discourse Acquisition in STEM Education
Heather M. Falconer
University Press of Colorado, 2023

In Masking Inequality with Good Intentions, Heather M. Falconer examines the impact of systemic bias on disciplinary discourse acquisition and identity development by asking “How do the norms and expectations of higher education and STEM, specifically, impact the development of scientific identity and discursive skill?” and “What role do societal markers like race and gender play in the negotiation of identity in STEM learning environments?”

Drawing on the experiences and writings of six students from historically underrepresented backgrounds in STEM, each participating in an undergraduate research program, Falconer discusses how programmatic and pedagogical choices can work to either further marginalize students and disrupt their writing and identity development as scientists or create counterspaces—spaces where students can thrive and push back against dominant, oppressive forces. Practical applications for pedagogy, curriculum, and program design are included.

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Mathematical Physics
Robert Geroch
University of Chicago Press, 1984
Mathematical Physics is an introduction to such basic mathematical structures as groups, vector spaces, topological spaces, measure spaces, and Hilbert space. Geroch uses category theory to emphasize both the interrelationships among different structures and the unity of mathematics. Perhaps the most valuable feature of the book is the illuminating intuitive discussion of the "whys" of proofs and of axioms and definitions. This book, based on Geroch's University of Chicago course, will be especially helpful to those working in theoretical physics, including such areas as relativity, particle physics, and astrophysics.
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Mathematical Reasoning with Diagrams
Mateja Jamnik
CSLI, 2001
Mathematicians at every level use diagrams to prove theorems. Mathematical Reasoning with Diagrams investigates the possibilities of mechanizing this sort of diagrammatic reasoning in a formal computer proof system, even offering a semi-automatic formal proof system—called Diamond—which allows users to prove arithmetical theorems using diagrams.
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Mathematics and Computers in Archaeology
J. E. Doran and F. R. Hodson
Harvard University Press

This book is for students and practitioners of archaeology. It offers an introductory survey of all the applications of mathematical and statistical techniques to their work. These applications are increasingly concerned with computerized data classification and quantification, and their effect is to reduce the level of uncertainty in the interpretation of the evidence that time and chance have left. Any archaeologist wanting to find out what these new methods have to offer has hitherto been forced to search for information in the specialist handbooks, conference proceedings, and review articles of his own, and very often of other, disciplines. This book brings the information conveniently together, so far as it pertains to archaeology, and permits an assessment of its relevance and quality.

Those who have been daunted by the specialist knowledge apparently demanded will now be able to acquire a thorough grasp of principles and practices. Only an elementary knowledge of mathematics is presumed throughout. Part 1 provides a brief introduction to basic concepts in archaeology and mathematics. Part 2 relates the standard archaeological techniques and procedures to mathematics; it concentrates on numerical approaches best suited to archaeological practices. Part 3 examines various automatic seriation techniques and discusses further work that is coming to play an essential part in the development of archaeology.

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Mathematics and Humor
John Allen Paulos
University of Chicago Press, 1982
John Allen Paulos cleverly scrutinizes the mathematical structures of jokes, puns, paradoxes, spoonerisms, riddles, and other forms of humor, drawing examples from such sources as Rabelais, Shakespeare, James Beattie, René Thom, Lewis Carroll, Arthur Koestler, W. C. Fields, and Woody Allen.

"Jokes, paradoxes, riddles, and the art of non-sequitur are revealed with great perception and insight in this illuminating account of the relationship between humor and mathematics."—Joseph Williams, New York Times

"'Leave your mind alone,' said a Thurber cartoon, and a really complete and convincing analysis of what humour is might spoil all jokes forever. This book avoids that danger. What it does. . .is describe broadly several kinds of mathematical theory and apply them to throw sidelights on how many kinds of jokes work."—New Scientist

"Many scholars nowadays write seriously about the ludicrous. Some merely manage to be dull. A few—like Paulos—are brilliant in an odd endeavor."—Los Angeles Times Book Review
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Mathematics and Religion
Our Languages of Sign and Symbol
Javier Leach
Templeton Press, 2010

Mathematics and Religion: Our Languages of Sign and Symbol is the sixth title published in the Templeton Science and Religion Series, in which scientists from a wide range of fields distill their experience and knowledge into brief tours of their respective specialties. In this volume, Javier Leach, a mathematician and Jesuit priest, leads a fascinating study of the historical development of mathematical language and its influence on the evolution of metaphysical and theological languages.

Leach traces three historical moments of change in this evolution: the introduction of the deductive method in Greece, the use of mathematics as a language of science in modern times, and the formalization of mathematical languages in the nineteenth and twentieth centuries. As he unfolds this fascinating history, Leach notes the striking differences and interrelations between the two languages of science and religion. Until now there has been little reflection on these similarities and differences, or about how both languages can complement and enrich each other.

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Mathematics and the Unexpected
Ivar Ekeland
University of Chicago Press, 1988
"Not the least unexpected thing about Mathematics and the Unexpected is that a real mathematician should write not just a literate work, but a literary one."—Ian Stewart, New Scientist

"In this brief, elegant treatise, assessable to anyone who likes to think, Ivar Ekelund explains some philosophical implications of recent mathematics. He examines randomness, the geometry involved in making predictions, and why general trends are easy to project (it will snow in January) but particulars are practically impossible (it will snow from 2 p.m. to 5 p.m. on the 21st)."—Village Voice
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Mathematics of Modality
Robert Goldblatt
CSLI, 1993
Modal logic is the study of modalities—expressions that qualify assertions about the truth of statements—like some ordinary language phrases and mathematically motivated expressions. The study of modalities dates from antiquity, but has been most actively pursued in the last three decades. This volume collects together a number of Golblatt's papers on modal logic, beginning with his work on the duality between algebraic and set-theoretic models, and including two new articles, one on infinitary rules of inference, and the other about recent results on the relationship between modal logic and first-order logic.
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Mathematics, Science, and Postclassical Theory
Barbara Herrnstein Smith and Arkady Plotnitsky, eds.
Duke University Press, 1997
Mathematics, Science, and Postclassical Theory is a unique collection of essays dealing with the intersections between science and mathematics and the radical reconceptions of knowledge, language, proof, truth, and reality currently emerging from poststructuralist literary theory, constructivist history and sociology of science, and related work in contemporary philosophy. Featuring a distinguished group of international contributors, this volume engages themes and issues central to current theoretical debates in virtually all disciplines: agency, causality, determinacy, representation, and the social dynamics of knowledge.
In a substantive introductory essay, the editors explain the notion of "postclassical theory" and discuss the significance of ideas such as emergence and undecidability in current work in and on science and mathematics. Other essays include a witty examination of the relations among mathematical thinking, writing, and the technologies of virtual reality; an essay that reconstructs the conceptual practices that led to a crucial mathematical discovery—or construction—in the 19th century; a discussion of the implications of Bohr’s complementarity principle for classical ideas of reality; an examination of scientific laboratories as "hybrid" communities of humans and nonhumans; an analysis of metaphors of control, purpose, and necessity in contemporary biology; an exploration of truth and lies, and the play of words and numbers in Shakespeare, Frege, Wittgenstein, and Beckett; and a final chapter on recent engagements, or nonengagements, between rationalist/realist philosophy of science and contemporary science studies.


Contributors. Malcolm Ashmore, Michel Callon, Owen Flanagan, John Law, Susan Oyama, Andrew Pickering, Arkady Plotnitsky, Brian Rotman, Barbara Herrnstein Smith, John Vignaux Smyth, E. Roy Weintraub

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Matter and Mathematics
An Essential Account of Laws of Nature
Andrew Younan
Catholic University of America Press, 2022
To borrow a phrase from Galileo: What does it mean that the story of the creation is “written in the language of mathematics?” This book is an attempt to understand the natural world, its consistency, and the ontology of what we call laws of nature, with a special focus on their mathematical expression. It does this by arguing in favor of the Essentialist interpretation over that of the Humean and Anti-Humean accounts. It re-examines and critiques Descartes’ notion of laws of nature following from God’s activity in the world as mover of extended bodies, as well as Hume’s arguments against causality and induction. It then presents an Aristotelian-Thomistic account of laws of nature based on mathematical abstraction, necessity, and teleology, finally offering a definition for laws of nature within this framework.
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Measurement
Paul Lockhart
Harvard University Press, 2012

For seven years, Paul Lockhart’s A Mathematician’s Lament enjoyed a samizdat-style popularity in the mathematics underground, before demand prompted its 2009 publication to even wider applause and debate. An impassioned critique of K–12 mathematics education, it outlined how we shortchange students by introducing them to math the wrong way. Here Lockhart offers the positive side of the math education story by showing us how math should be done. Measurement offers a permanent solution to math phobia by introducing us to mathematics as an artful way of thinking and living.

In conversational prose that conveys his passion for the subject, Lockhart makes mathematics accessible without oversimplifying. He makes no more attempt to hide the challenge of mathematics than he does to shield us from its beautiful intensity. Favoring plain English and pictures over jargon and formulas, he succeeds in making complex ideas about the mathematics of shape and motion intuitive and graspable. His elegant discussion of mathematical reasoning and themes in classical geometry offers proof of his conviction that mathematics illuminates art as much as science.

Lockhart leads us into a universe where beautiful designs and patterns float through our minds and do surprising, miraculous things. As we turn our thoughts to symmetry, circles, cylinders, and cones, we begin to see that almost anyone can “do the math” in a way that brings emotional and aesthetic rewards. Measurement is an invitation to summon curiosity, courage, and creativity in order to experience firsthand the playful excitement of mathematical work.

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Modal Logic and Process Algebra
Edited by Alban Ponse, Maarten de Rijke, and Yde Venema
CSLI, 1995
Labelled transition systems are mathematical models for dynamic behaviour, or processes, and thus form a research field of common interest to logicians and theoretical computer scientists. In computer science, this notion is a fundamental one in the formal analysis of programming languages, in particular in process theory. In modal logic, transition systems are the central object of study under the name of Kripke models. This volume collects a number of research papers on modal logic and process theory. Its unifying theme is the notion of a bisimulation. Bisimulations are relations over transition systems, and provide a key tool in identifying the processes represented by these structures. The volume offers an up-to-date overview of perspectives on labeled transition systems and bisimulations.
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Modern Factor Analysis
Harry H. Harman
University of Chicago Press, 1976
This thoroughly revised third edition of Harry H. Harman's authoritative text incorporates the many new advances made in computer science and technology over the last ten years. The author gives full coverage to both theoretical and applied aspects of factor analysis from its foundations through the most advanced techniques. This highly readable text will be welcomed by researchers and students working in psychology, statistics, economics, and related disciplines.
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Modern Sampling Methods
Theory, Experimentation, Application
Palmer Johnson
University of Minnesota Press, 1959
Modern Sampling Methods: Theory, Experimentation, Application was first published in 1959. Minnesota Archive Editions uses digital technology to make long-unavailable books once again accessible, and are published unaltered from the original University of Minnesota Press editions.Of both theoretical and practical use to statisticians and research workers using sampling techniques, this book describes five new multi-stage sampling models. The models are described, compared, and evaluated through a skillfully designed experiment. The number of stages in all five models is the same; the manner in which they differ is in the particular sampling technique applied at each of the several stages. Recommendations are given on the choice of the most suitable model for a given practical situation. A mathematical appendix presents two lemmas that are useful for derivation of sampling formulas in multi-stage sampling.
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More Concise Algebraic Topology
Localization, Completion, and Model Categories
J. P. May and K. Ponto
University of Chicago Press, 2011
With firm foundations dating only from the 1950s, algebraic topology is a relatively young area of mathematics. There are very few textbooks that treat fundamental topics beyond a first course, and many topics now essential to the field are not treated in any textbook. J. Peter May’s A Concise Course in Algebraic Topology addresses the standard first course material, such as fundamental groups, covering spaces, the basics of homotopy theory, and homology and cohomology. In this sequel, May and his coauthor, Kathleen Ponto, cover topics that are essential for algebraic topologists and others interested in algebraic topology, but that are not treated in standard texts. They focus on the localization and completion of topological spaces, model categories, and Hopf algebras.
           
The first half of the book sets out the basic theory of localization and completion of nilpotent spaces, using the most elementary treatment the authors know of. It makes no use of simplicial techniques or model categories, and it provides full details of other necessary preliminaries. With these topics as motivation, most of the second half of the book sets out the theory of model categories, which is the central organizing framework for homotopical algebra in general. Examples from topology and homological algebra are treated in parallel. A short last part develops the basic theory of bialgebras and Hopf algebras.
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