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99 variations on a proof
An exploration of mathematical style through 99 different proofs of the same theoremThis book offers a multifaceted perspective on mathematics by demonstrating 99 different proofs of the same theorem. Each chapter solves an otherwise unremarkable equation in distinct historical, formal, and imagi...
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A biologist's guide to mathematical modeling in ecology and evolution
Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer...
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A mathematics course for political and social research
Political science and sociology increasingly rely on mathematical modeling and sophisticated data analysis, and many graduate programs in these fields now require students to take a "math camp" or a semester-long or yearlong course to acquire the necessary skills. Available textbooks are written ...
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A practical guide to exemplary professional development schools
This book shares stories of 8 successful Professional Development Schools (PDS), offering practical ideas for new and existing partnerships. It highlights clinical preparation, teacher development and professional growth. It's a valuable resource for academic faculty transitioning to a PDS model,...
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A systems approach to public administration and social equity
A Systems Approach to Public Administration uses General Systems Theory to create The Plan, a series of social policies aimed at addressing global threats. It proposes Public Private Trusts in various sectors to form a Virtual Commonwealth, steering the political economy towards a sustainable, eq...
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Adelic line bundles on quasi-projective varieties
A comprehensive new theory of adelic line bundles on quasi-projective varieties over finitely generated fieldsThis book introduces a comprehensive theory of adelic line bundles on quasi-projective varieties over finitely generated fields, developed in both geometric and arithmetic contexts. In th...
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An imaginary tale
Today complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind their derivation to be filled with adventure and enigma. In An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' most...
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Beautiful geometry
An exquisite visual celebration of the 2,500-year history of geometryIf you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite ...
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Beijing lectures in harmonic analysis
Based on seven lecture series given by leading experts at a summer school at Peking University, in Beijing, in 1984. this book surveys recent developments in the areas of harmonic analysis most closely related to the theory of singular integrals, real-variable methods, and applications to several...
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Biomolecular feedback systems
This book provides an accessible introduction to the principles and tools for modeling, analyzing, and synthesizing biomolecular systems. It begins with modeling tools such as reaction-rate equations, reduced-order models, stochastic models, and specific models of important core processes. It the...
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Calculus reordered
A look at how calculus has evolved over hundreds of years and why calculus pedagogy needs to changeCalculus Reordered tells the remarkable story of how calculus grew over centuries into the subject we know today. David Bressoud explains why calculus is credited to seventeenth-century figures Isaa...
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Do not erase
A photographic exploration of mathematicians’ chalkboards“A mathematician, like a painter or poet, is a maker of patterns,” wrote the British mathematician G. H. Hardy. In Do Not Erase, photographer Jessica Wynne presents remarkable examples of this idea through images of mathematicians’ chalkboa...
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Enlightening symbols
An entertaining look at the origins of mathematical symbolsWhile all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century. What did mathematicians rely on for their work before th...
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Exponential sums, hypergeometric sheaves, and monodromy groups
An examination of some of the remarkable connections between group theory and arithmetic algebraic geometry over finite fieldsExponential sums have been of great interest ever since Gauss, and their importance in analytic number theory goes back a century to Kloosterman. Grothendieck’s creation o...
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Fashion, faith, and fantasy in the new physics of the universe
Nobel Prize–winning physicist Roger Penrose questions some of the most fashionable ideas in physics today, including string theoryWhat can fashionable ideas, blind faith, or pure fantasy possibly have to do with the scientific quest to understand the universe? Surely, theoretical physicists are i...
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Flatland
In 1884, Edwin Abbott Abbott wrote a mathematical adventure set in a two-dimensional plane world, populated by a hierarchical society of regular geometrical figures-who think and speak and have all too human emotions. Since then Flatland has fascinated generations of readers, becoming a perennial...
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Geometry, dynamics, and rigidity
A generously illustrated textbook and reference for graduate students and researchers that integrates two major areas of mathematicsGeometry, Dynamics, and Rigidity is an introduction to the modern interface between Riemannian geometry and dynamical systems. Organized in three parts, the book bui...
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George spencer brown’s “design with the nor”
A polymath and author of Laws of Form, George Spencer Brown, brought together mathematics, electronics, engineering and philosophy to form an unlikely bond. This book investigates Design with NOR, the title of the yet unpublished 1961 typescript by Spencer Brown.
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Henri poincaré
A comprehensive look at the mathematics, physics, and philosophy of Henri PoincaréHenri Poincaré (1854–1912) was not just one of the most inventive, versatile, and productive mathematicians of all time—he was also a leading physicist who almost won a Nobel Prize for physics and a prominent philos...
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Hot molecules, cold electrons
An entertaining mathematical exploration of the heat equation and its role in the triumphant development of the trans-Atlantic telegraph cableHeat, like gravity, shapes nearly every aspect of our world and universe, from how milk dissolves in coffee to how molten planets cool. The heat equation, ...
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How to read historical mathematics
Techniques for deciphering texts by early mathematiciansWritings by early mathematicians feature language and notations that are quite different from what we're familiar with today. Sourcebooks on the history of mathematics provide some guidance, but what has been lacking is a guide tailored to t...
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Humanities data analysis
A practical guide to data-intensive humanities research using the Python programming languageThe use of quantitative methods in the humanities and related social sciences has increased considerably in recent years, allowing researchers to discover patterns in a vast range of source materials. Des...
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In praise of simple physics
Fun puzzles that use physics to explore the wonders of everyday lifePhysics can explain many of the things that we commonly encounter. It can tell us why the night is dark, what causes the tides, and even how best to catch a baseball. With In Praise of Simple Physics, popular math and science wri...
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In pursuit of zeta-3
An engrossing look at the history and importance of a centuries-old but still unanswered math problemFor centuries, mathematicians the world over have tried, and failed, to solve the zeta-3 problem. Math genius Leonhard Euler attempted it in the 1700s and came up short. The straightforward puzzle...
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Instability and non-uniqueness for the 2d euler equations, after m. vishik
An essential companion to M. Vishik’s groundbreaking work in fluid mechanicsThe incompressible Euler equations are a system of partial differential equations introduced by Leonhard Euler more than 250 years ago to describe the motion of an inviscid incompressible fluid. These equations can be der...
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Intermittent convex integration for the 3d euler equations
A new threshold for the existence of weak solutions to the incompressible Euler equationsTo gain insight into the nature of turbulent fluids, mathematicians start from experimental facts, translate them into mathematical properties for solutions of the fundamental fluids PDEs, and construct solut...
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International perspectives on mathematics teacher education
This book provides insights from scholars worldwide on mathematics teacher education. It covers the content teachers need, pedagogical approaches, and the connection between tertiary preparation and school contexts. Key themes include culturally responsive pedagogies, partnerships, and developing...
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Introduction to computational science
The essential introduction to computational science—now fully updated and expandedComputational science is an exciting new field at the intersection of the sciences, computer science, and mathematics because much scientific investigation now involves computing as well as theory and experiment. Th...
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Introduction to mathematical sociology
A comprehensive textbook on the tools of mathematical sociology and their applicationsMathematical models and computer simulations of complex social systems have become everyday tools in sociology. Yet until now, students had no up-to-date textbook from which to learn these techniques. Introducti...
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Learning to hide
This book explores the experiences of Latinx students at Washington River High School, highlighting their journey of learning English and constructing citizen identities amid sociopolitical tensions. It examines interactions between established residents and newcomers, set against the backdrop of...
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Making up your own mind
How you can become better at solving real-world problems by learning creative puzzle-solving skillsWe solve countless problems—big and small—every day. With so much practice, why do we often have trouble making simple decisions—much less arriving at optimal solutions to important questions? Are w...
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Mathematical methods for geophysics and space physics
An essential textbook on the mathematical methods used in geophysics and space physicsGraduate students in the natural sciences—including not only geophysics and space physics but also atmospheric and planetary physics, ocean sciences, and astronomy—need a broad-based mathematical toolbox to faci...
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Mathematics and computation
From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophyMathematics and Computation provides a broad, conceptua...
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Mathematics for economists
Self-contained treatment of all the mathematics needed by undergraduate and masters-level students of economics starting from a very low level. Topics covered include calculus, matrix algebra, probability, dynamics and static and dynamic optimisation, all illustrated by examples and problems from...
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Mathematics instruction in dual language classrooms
This book explores the role of language and culture in teaching mathematics, especially in dual language classrooms. It applies socio-cultural theory to research on teaching mathematics to Emergent Bilinguals, examining translanguaging, disciplinary literacy, and culturally responsive instruction.
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Moduli stacks of étale (ϕ, γ)-modules and the existence of crystalline lifts
A foundational account of a new construction in the p-adic Langlands correspondenceMotivated by the p-adic Langlands program, this book constructs stacks that algebraize Mazur’s formal deformation rings of local Galois representations. More precisely, it constructs Noetherian formal algebraic sta...
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Multiplicative hitchin fibrations and the fundamental lemma
A proof of the endoscopic fundamental lemma for spherical Hecke algebras using a new comprehensive framework of multiplicative Hitchin fibrationsThis book develops a comprehensive framework of multiplicative Hitchin fibrations, which is a novel analogue of the classical Hitchin fibrations, and th...
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Pedagogies for equitable access
This book examines the impact of COVID-19 on education, focusing on the rapid shift to online learning and its challenges. It explores instructional strategies, curriculum adaptations, teacher education practices, and pedagogical innovations in multilingual/multicultural settings, emphasizing equ...
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Probability and statistics for economists
A comprehensive and up-to-date introduction to the mathematics that all economics students need to knowProbability theory is the quantitative language used to handle uncertainty and is the foundation of modern statistics. Probability and Statistics for Economists provides graduate and PhD student...
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Reaching for the extreme
From bestselling author and mathematician Ian Stewart, the fascinating story of the extreme problems that have driven math forward from antiquity to today"Stewart has a genius for explanation."—New ScientistMany of the deepest and most important areas of mathematics have emerged from questions ab...
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Selected writings from the journal of the saskatchewan mathematics teachers' society
This volume celebrates 50 years (1961-2011) of vinculum journal, featuring 50 articles from each decade. It offers historical context and contemporary views on mathematics education in Saskatchewan, serving as a resource for teachers, educators, researchers, and students.
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Symmetry
Symmetry is a classic study of symmetry in mathematics, the sciences, nature, and art from one of the twentieth century's greatest mathematicians. Hermann Weyl explores the concept of symmetry beginning with the idea that it represents a harmony of proportions, and gradually departs to examine it...
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Tales of impossibility
A comprehensive look at four of the most famous problems in mathematicsTales of Impossibility recounts the intriguing story of the renowned problems of antiquity, four of the most famous and studied questions in the history of mathematics. First posed by the ancient Greeks, these compass and stra...
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Ten great ideas about chance
A fascinating account of the breakthrough ideas that transformed probability and statisticsIn the sixteenth and seventeenth centuries, gamblers and mathematicians transformed the idea of chance from a mystery into the discipline of probability, setting the stage for a series of breakthroughs that...
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The arithmetic of polynomial dynamical pairs
New mathematical research in arithmetic dynamicsIn The Arithmetic of Polynomial Dynamical Pairs, Charles Favre and Thomas Gauthier present new mathematical research in the field of arithmetic dynamics. Specifically, the authors study one-dimensional algebraic families of pairs given by a polynomi...
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The best writing on mathematics 2012
The year's finest writing on mathematics from around the worldThis annual 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 2012 makes available t...
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The best writing on mathematics 2019
The year's finest mathematical writing from around the worldThis annual 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 2019 makes available to ...
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The best writing on mathematics 2021
The year’s finest mathematical writing from around the worldThis annual anthology brings together the year’s finest mathematics writing from around the world—and you don’t need to be a mathematician to enjoy the pieces collected here. These essays—from leading names and fresh new voices—delve int...
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The calculus of friendship
The Calculus of Friendship is the story of an extraordinary connection between a teacher and a student, as chronicled through more than thirty years of letters between them. What makes their relationship unique is that it is based almost entirely on a shared love of calculus. For them, calculus i...
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The calculus of happiness
How math holds the keys to improving one’s health, wealth, and love lifeWhat’s the best diet for overall health and weight management? How can we change our finances to retire earlier? How can we maximize our chances of finding our soul mate? In The Calculus of Happiness, Oscar Fernandez shows us...
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