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Representation theory of semisimple groups
In this classic work, Anthony W. Knapp offers a survey of representation theory of semisimple Lie groups in a way that reflects the spirit of the subject and corresponds to the natural learning process. This book is a model of exposition and an invaluable resource for both graduate students and r...
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A geometrical introduction to tensor calculus
An authoritative, self-contained introduction to geometrical tensor calculus for scientists and engineersTensors are widely used in physics and engineering to describe physical properties that have multiple dimensions and magnitudes. In recent years, they have become increasingly important for da...
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Developmental neuroscience
A concise introductory textbook on the development of the nervous systemThis textbook offers a concise introduction to the exciting field of developmental neuroscience, a discipline concerned with the mechanisms by which complex nervous systems emerge during embryonic growth. Bridging the divide ...
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The world inside your head
This groundbreaking book reveals the perceptual underpinnings of society, showing how sights, sounds, and smells build social and political worlds.
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What science says about astrology
For thousands of years, people have believed that the configuration of stars and planets in the sky influences earthly events. Today, astrology is a lucrative global market, with newspaper columns, mobile apps, and professional counselors weighing in on everything from love life to health to the ...
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The clock in the sun
Pierre Sokolsky provides a history of knowledge of the Sun through the lens of sunspots and the solar cycle, shedding new light on key discoveries and the people who made them.
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Macroevolutionaries
One of the twentieth century’s great paleontologists and science writers, Stephen Jay Gould was, for Bruce S. Lieberman and Niles Eldredge, also a close colleague, mentor, and friend. In Macroevolutionaries, they take up the tradition of Gould’s acclaimed essays on natural history.
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Crime, space and place
A critical introduction to the geographies of crime. The authors examine crime through the lenses of space and place including topics such as corruption, transnational organised crime and ecocide. This is a forward-looking book that enhances our geographical understandings of crime in the twenty-...
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Academia and the people
The contributors to this volume examine how academic communities lived through different transitions, such as the collapse of empires, the two World Wars, the Yugoslav and the post-Soviet wars.
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Cold-blooded murder
Craig Stanford tells the captivating stories of dozens of endangered reptiles and amphibians, depicting the ecological roles and unique characteristics of each species.
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Climate change science
This book is a primer on the fundamental science of climate change and climate prediction, now updated to reflect the latest research.
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Advances in latent class analysis
Latent class analysis (LCA) has evolved from a categorical data tool to a broader mixture modeling framework. This volume, part of the CILVR series, highlights LCA's growth, inspired by C. Mitchell Dayton's contributions, and explores its future in defining subpopulations and integrating measured...
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There is life after the nobel prize
Neuroscientist Eric R. Kandel recounts his remarkable career since receiving the Nobel in 2000. He takes readers through his lab’s scientific advances as well as his efforts to promote public understanding of science and to put brain science and art into conversation.
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The mathematics teacher education partnership
This book reviews seven years of work by the Mathematics Teacher Education Partnership on secondary mathematics teacher preparation. It addresses key challenges, including content knowledge, clinical experiences, recruitment, equity, and social justice, and describes promising approaches and prod...
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The other big bang
The evolutionary and developmental biologist Eric S. Haag explores the two-billion-year history of sex, from the first organisms on Earth to contemporary humans.
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A course on surgery theory
An advanced treatment of surgery theory for graduate students and researchersSurgery theory, a subfield of geometric topology, is the study of the classifications of manifolds. A Course on Surgery Theory offers a modern look at this important mathematical discipline and some of its applications. ...
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The structure of groups with a quasiconvex hierarchy
This monograph on the applications of cube complexes constitutes a breakthrough in the fields of geometric group theory and 3-manifold topology. Many fundamental new ideas and methodologies are presented here for the first time, including a cubical small-cancellation theory that generalizes ideas...
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Hybrid feedback control
A comprehensive introduction to hybrid control systems and designHybrid control systems exhibit both discrete changes, or jumps, and continuous changes, or flow. An example of a hybrid control system is the automatic control of the temperature in a room: the temperature changes continuously, but ...
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Games for your mind
A lively and engaging look at logic puzzles and their role in mathematics, philosophy, and recreationLogic puzzles were first introduced to the public by Lewis Carroll in the late nineteenth century and have been popular ever since. Games like Sudoku and Mastermind are fun and engrossing recreati...
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Game theory and climate change
Parkash Chander argues that we can make progress on the climate-change impasse through incorporating the insights of game theory. Chander offers economic and game-theoretic interpretations of both the Kyoto Protocol and the Paris Agreement and discusses the policy recommendations his framework ge...
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Mathematics
Mathematics: The New Golden Age offers a glimpse of the extraordinary vistas and bizarre universes opened up by contemporary mathematicians: Hilbert's tenth problem and the four-color theorem, Gaussian integers, chaotic dynamics and the Mandelbrot set, infinite numbers, and strange number systems...
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Bernoulli's fallacy
Aubrey Clayton traces the history of the flaw that underlies modern statistics, beginning with the seventeenth-century mathematician Jacob Bernoulli and winding through gambling, astronomy, and genetics. Ranging across math, philosophy, and culture, Bernoulli’s Fallacy explains why something has ...
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Perplexing paradoxes
George G. Szpiro guides readers through the puzzling world of paradoxes, from Socratic dialogues to the Monty Hall Problem.
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Gödel forever
Gödel Forever is a critical look at claims on Gödelian incompleteness that have appeared in the literature, strictly adhering to mathematical details.
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Partial truths
James C. Zimring argues that many of the mistakes that the human mind consistently makes boil down to misperceiving fractions. Blending key scientific research in cognitive psychology with accessible real-life examples, Partial Truths helps readers spot the fallacies lurking in everyday information.
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Discrete and computational geometry, 2nd edition
The essential introduction to discrete and computational geometry—now fully updated and expandedDiscrete and Computational Geometry bridges the theoretical world of discrete geometry with the applications-driven realm of computational geometry, offering a comprehensive yet accessible introduction...
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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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Lectures on kähler groups
An introduction to the state of the art in the study of Kähler groupsThis book gives an authoritative and up-to-date introduction to the study of fundamental groups of compact Kähler manifolds, known as Kähler groups. Approaching the subject from the perspective of a geometric group theorist, Pie...
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Optimization and learning via stochastic gradient search
An introduction to gradient-based stochastic optimization that integrates theory and implementationThis book explains gradient-based stochastic optimization, exploiting the methodologies of stochastic approximation and gradient estimation. Although the approach is theoretical, the book emphasizes...
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The inspirational untold stories of secondary mathematics teachers
This book shares 12 untold stories of mathematics teachers, highlighting their varied journeys and the innovative components of their preparation program. It explores their passion, experiences, and reflections on early college experiences, shedding light on the developmental processes of mathema...
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The man who saved geometry
An illuminating biography of one of the greatest geometers of the twentieth centuryDriven by a profound love of shapes and symmetries, Donald Coxeter (1907–2003) preserved the tradition of classical geometry when it was under attack by influential mathematicians who promoted a more algebraic and ...
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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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The language of mathematics
A marvelous compendium of mathematical symbols and their fascinating historiesGalileo famously wrote that the book of nature is written in mathematical language. The Language of Mathematics is a wide-ranging and beautifully illustrated collection of short, colorful histories of the most commonly ...
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Game theory
Game Theory has served as a standard text for game theory courses since the publication of the First Edition in 1968. The Fourth Edition updates several recently developed subfields.
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Calculus 2 simplified
From the author of Calculus Simplified, an accessible, personalized approach to Calculus 2Second-semester calculus is rich with insights into the nature of infinity and the very foundations of geometry, but students can become overwhelmed as they struggle to synthesize the range of material cover...
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The rising sea
An accessible, motivated introduction to one of the most dynamic areas of mathematicsDecades ago, Mumford wrote that algebraic geometry “seems to have acquired the reputation of being esoteric, exclusive, and very abstract, with adherents who are secretly plotting to take over all the rest of mat...
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The football
An illustration-packed dive into the geometry, engineering, and physics of soccer ballsThe Football takes readers on an entertaining and fact-filled exploration of the mathematical secrets of the most popular spherical object on the planet. The football is familiar to billions of fans across the ...
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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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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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Perspective and projective geometry
Through a unique approach combining art and mathematics, Perspective and Projective Geometry introduces students to the ways that projective geometry applies to perspective art. Geometry, like mathematics as a whole, offers a useful and meaningful lens for understanding the visual world. Explorin...
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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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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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Calculus simplified
An accessible, streamlined, and user-friendly approach to calculusCalculus is a beautiful subject that most of us learn from professors, textbooks, or supplementary texts. Each of these resources has strengths but also weaknesses. In Calculus Simplified, Oscar Fernandez combines the strengths and...
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How to fall slower than gravity
An engaging collection of intriguing problems that shows you how to think like a mathematical physicistPaul Nahin is a master at explaining odd phenomena through straightforward mathematics. In this collection of twenty-six intriguing problems, he explores how mathematical physicists think. Alway...
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Essential discrete mathematics for computer science
A more intuitive approach to the mathematical foundation of computer scienceDiscrete mathematics is the basis of much of computer science, from algorithms and automata theory to combinatorics and graph theory. This textbook covers the discrete mathematics that every computer science student needs...
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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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The secret formula
The legendary Renaissance math duel that ushered in the modern age of algebraThe Secret Formula tells the story of two Renaissance mathematicians whose jealousies, intrigues, and contentious debates led to the discovery of a formula for the solution of the cubic equation. Niccolò Tartaglia was a ...
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The calculus gallery
More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway to higher mathematics. This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm ...
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Curves for the mathematically curious
Ten amazing curves personally selected by one of today's most important math writersCurves for the Mathematically Curious is a thoughtfully curated collection of ten mathematical curves, selected by Julian Havil for their significance, mathematical interest, and beauty. Each chapter gives an acco...
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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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