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Mathematics for Social Justice: Resources for the College Classroom
Mathematics for Social Justice offers a collection of resources for mathematics faculty interested in incorporating questions of social justice into their classrooms. The book begins with a series of essays from instructors experienced in integrating social justice themes into their pedagogy; these essays contain political and pedagogical motivations as well as nuts-and-bolts teaching advice. The heart of the book is a collection of fourteen classroom-tested modules featuring ready-to-use activities and investigations for the college mathematics classroom. The mathematical tools and techniques used are relevant to a wide variety of courses including college algebra, math for the liberal arts...
Mathematics for Social Justice
Mathematics for Social Justice: Focusing on Quantitative Reasoning and Statistics offers a collection of resources for mathematics faculty interested in incorporating questions of social justice into their classrooms. The book comprises seventeen classroom-tested modules featuring ready-to-use activities and investigations for college mathematics and statistics courses. The modules empower students to study issues of social justice and to see the power and limitations of mathematics in real-world contexts of deep concern. The primary focus is on classroom activities where students can ask their own questions, find and analyze real data, apply mathematical ideas themselves, and draw their own...
Women in MathArt
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A Celebration of the EDGE Program’s Impact on the Mathematics Community and Beyond
The Enhancing Diversity in Graduate Education (EDGE) Program began twenty years ago to provide support for women entering doctoral programs in the mathematical sciences. With a steadfast commitment to diversity among participants, faculty, and staff, EDGE initially alternated between Bryn Mawr and Spelman Colleges. In later years, EDGE has been hosted on campuses around the nation and expanded to offer support for women throughout their graduate school and professional careers. The refereed papers in A Celebration of the EDGE Program’s Impact on the Mathematics Community and Beyond range from short memoirs, to pedagogical studies, to current mathematics research. All papers are written by ...
The Best Writing on Mathematics 2011
The year's finest writing on mathematics from around the world This anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2011 makes available to a wide audience many articles not easily found anywhere else—and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates. Here Ian Hacking discusse...
Hopf Algebras and Generalizations
Hopf algebras have proved to be very interesting structures with deep connections to various areas of mathematics, particularly through quantum groups. Indeed, the study of Hopf algebras, their representations, their generalizations, and the categories related to all these objects has an interdisciplinary nature. It finds methods, relationships, motivations and applications throughout algebra, category theory, topology, geometry, quantum field theory, quantum gravity, and also combinatorics, logic, and theoretical computer science. This volume portrays the vitality of contemporary research in Hopf algebras. Altogether, the articles in the volume explore essential aspects of Hopf algebras and some of their best-known generalizations by means of a variety of approaches and perspectives. They make use of quite different techniques that are already consolidated in the area of quantum algebra. This volume demonstrates the diversity and richness of its subject. Most of its papers introduce the reader to their respective contexts and structures through very expository preliminary sections.
Function Theory on Symplectic Manifolds
This is a book on symplectic topology, a rapidly developing field of mathematics which originated as a geometric tool for problems of classical mechanics. Since the 1980s, powerful methods such as Gromov's pseudo-holomorphic curves and Morse-Floer theory on loop spaces gave rise to the discovery of unexpected symplectic phenomena. The present book focuses on function spaces associated with a symplectic manifold. A number of recent advances show that these spaces exhibit intriguing properties and structures, giving rise to an alternative intuition and new tools in symplectic topology. The book provides an essentially self-contained introduction into these developments along with applications to symplectic topology, algebra and geometry of symplectomorphism groups, Hamiltonian dynamics and quantum mechanics. It will appeal to researchers and students from the graduate level onwards.
Representations of Algebraic Groups, Quantum Groups, and Lie Algebras
Covers various aspects of the representation theory of Lie algebras, finite groups of Lie types, Hecke algebras, and Lie super algebras. This book outlines connections among irreducible representations of certain blocks of reduced enveloping algebras of semi-simple Lie algebras in positive characteristic.
Math Mystic's Guide to Creative Spirituality
The Math Mystic’s Guide to Creative Spirituality is unique, provocative, engaging, and a masterpiece of philosophical and mystical exploration. It offers gourmet treats for those with spiritual hunger, a feast of innovative perspectives on building social collateral (trust, forgiveness, resilience . . .), and intellectual desserts for the mathematically inclined. User-friendly for the non-mathematician, the book also provides a smorgasbord of resources for those who want to know more about the math. Deeply personal but also scholarly, with an unprecedented use of mathematical metaphors, this book will appeal to mathematicians, scientists, teachers, philosophers, religious educators, and sp...
Making Democracy Count
How we can repair our democracy by rebuilding the mechanisms that power it What’s the best way to determine what most voters want when multiple candidates are running? What’s the fairest way to allocate legislative seats to different constituencies? What’s the least distorted way to draw voting districts? Not the way we do things now. Democracy is mathematical to its very foundations. Yet most of the methods in use are a historical grab bag of the shortsighted, the cynical, the innumerate, and the outright discriminatory. Making Democracy Count sheds new light on our electoral systems, revealing how a deeper understanding of their mathematics is the key to creating civic infrastructure...
