In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space.Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man’s journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century’s leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat’s last theorem, that had seemed intractable before.At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.

    How have we achieved so much despite understanding so little? Cognitive scientists Steven Sloman and Philip Fernbach argue that we survive and thrive despite our mental shortcomings because we live in a rich community of knowledge. The key to our intelligence lies in the people and things around us. We're constantly drawing on information and expertise stored outside our heads: in our bodies, our environment, our possessions, and the community with which we interact--and usually we don't even realize we're doing it. The human mind is both brilliant and pathetic. We have mastered fire, created democratic institutions, stood on the moon, and sequenced our genome. And yet each of us is error prone, sometimes irrational, and often ignorant. The fundamentally communal nature of intelligence and knowledge explains why we often assume we know more than we really do, why political opinions and false beliefs are so hard to change, and why individually oriented approaches to education and management frequently fail. But our collaborative minds also enable us to do amazing things. This book contends that true genius can be found in the ways we create intelligence using the world around us.

    It was studied from antiquity to the Renaissance as a way of glimpsing the nature of reality. Geometry is number in space; music is number in time; and comology expresses number in space and time. Number, music, and geometry are metaphysical truths: life across the universe investigates them; they foreshadow the physical sciences.Quadrivium is the first volume to bring together these four subjects in many hundreds of years. Composed of six successful titles in the Wooden Books series-Sacred Geometry, Sacred Number, Harmonograph, The Elements of Music, Platonic & Archimedean Solids, and A Little Book of Coincidence-it makes ancient wisdom and its astonishing interconnectedness accessible to us today.Beautifully produced in six different colors of ink, Quadrivium will appeal to anyone interested in mathematics, music, astronomy, and how the universe works.

    We often overlook the historical link between mathematics and technological advances, says Stewart—but this connection is integral to any complete understanding of human history.Equations are modeled on the patterns we find in the world around us, says Stewart, and it is through equations that we are able to make sense of, and in turn influence, our world. Stewart locates the origins of each equation he presents—from Pythagoras's Theorem to Newton's Law of Gravity to Einstein's Theory of Relativity—within a particular historical moment, elucidating the development of mathematical and philosophical thought necessary for each equation's discovery. None of these equations emerged in a vacuum, Stewart shows; each drew, in some way, on past equations and the thinking of the day. In turn, all of these equations paved the way for major developments in mathematics, science, philosophy, and technology. Without logarithms (invented in the early 17th century by John Napier and improved by Henry Briggs), scientists would not have been able to calculate the movement of the planets, and mathematicians would not have been able to develop fractal geometry. The Wave Equation is one of the most important equations in physics, and is crucial for engineers studying the vibrations in vehicles and the response of buildings to earthquakes. And the equation at the heart of Information Theory, devised by Claude Shannon, is the basis of digital communication today.An approachable and informative guide to the equations upon which nearly every aspect of scientific and mathematical understanding depends, In Pursuit of the Unknown is also a reminder that equations have profoundly influenced our thinking and continue to make possible many of the advances that we take for granted.

    These predictions then initiate actions that structure our worlds and alter the very things we need to engage and predict. Clark takes us on a journey in discovering the circular causal flows and the self-structuring of the environment that define "the predictive brain." What emerges is a bold, new, cutting-edge vision that reveals the brain as our driving force in the daily surf through the waves of sensory stimulation.

    Taking as territory everything from the Big Bang to the rise of civilization, Bryson seeks to understand how we got from there being nothing at all to there being us. To that end, he has attached himself to a host of the world’s most advanced (and often obsessed) archaeologists, anthropologists, and mathematicians, travelling to their offices, laboratories, and field camps. He has read (or tried to read) their books, pestered them with questions, apprenticed himself to their powerful minds. A Short History of Nearly Everything is the record of this quest, and it is a sometimes profound, sometimes funny, and always supremely clear and entertaining adventure in the realms of human knowledge, as only Bill Bryson can render it. Science has never been more involving or entertaining.

    Nobody is perfect. And that includes five of the greatest scientists in history—Charles Darwin, William Thomson (Lord Kelvin), Linus Pauling, Fred Hoyle, and Albert Einstein. But the mistakes that these great luminaries made helped advance science. Indeed, as Mario Livio explains, science thrives on error, advancing when erroneous ideas are disproven.As a young scientist, Einstein tried to conceive of a way to describe the evolution of the universe at large, based on General Relativity—his theory of space, time, and gravity. Unfortunately he fell victim to a misguided notion of aesthetic simplicity. Fred Hoyle was an eminent astrophysicist who ridiculed an emerging theory about the origin of the universe that he dismissively called “The Big Bang.” The name stuck, but Hoyle was dead wrong in his opposition.They, along with Darwin (a blunder in his theory of Natural Selection), Kelvin (a blunder in his calculation of the age of the earth), and Pauling (a blunder in his model for the structure of the DNA molecule), were brilliant men and fascinating human beings. Their blunders were a necessary part of the scientific process. Collectively they helped to dramatically further our knowledge of the evolution of life, the Earth, and the universe.

    In 1996 Joseph LeDoux's "The Emotional Brain" presented a revelatory examination of the biological bases of our emotions and memories. Now, the world-renowned expert on the brain has produced with a groundbreaking work that tells a more profound story: how the little spaces between the neurons-the brain's synapses--are the channels through which we think, act, imagine, feel, and remember. Synapses encode the essence of personality, enabling each of us to function as a distinctive, integrated individual from moment to moment. Exploring the functioning of memory, the synaptic basis of mental illness and drug addiction, and the mechanism of self-awareness, "Synaptic Self" is a provocative and mind-expanding work that is destined to become a classic.

    As a result, East Asian thought is “holistic”—drawn to the perceptual field as a whole and to relations among objects and events within that field. By contrast, Westerners focus on salient objects or people, use attributes to assign them to categories, and apply rules of formal logic to understand their behavior. From feng shui to metaphysics, from comparative linguistics to economic history, a gulf separates the children of Aristotle from the descendants of Confucius. At a moment in history when the need for cross-cultural understanding and collaboration have never been more important, The Geography of Thought offers both a map to that gulf and a blueprint for a bridge that will span it.

    We can’t stop constantly checking it on our computer screens, but what is this doing to our minds? We are never really taught how to make sense of the torrent of news we face every day, writes Alain de Botton (author of the best-selling The Architecture of Happiness), but this has a huge impact on our sense of what matters and of how we should lead our lives. In his dazzling new book, de Botton takes twenty-five archetypal news stories—including an airplane crash, a murder, a celebrity interview and a political scandal—and submits them to unusually intense analysis with a view to helping us navigate our news-soaked age. He raises such questions as Why are disaster stories often so uplifting? What makes the love lives of celebrities so interesting? Why do we enjoy watching politicians being brought down? Why are upheavals in far-off lands often so boring? In The News: A User’s Manual, de Botton has written the ultimate guide for our frenzied era, certain to bring calm, understanding and a measure of sanity to our daily (perhaps even hourly) interactions with the news machine.(With black-and-white illustrations throughout.)

    With a new foreword by his daughter Mary Katherine Bateson, this classic anthology of his major work will continue to delight and inform generations of readers. "This collection amounts to a retrospective exhibition of a working life. . . . Bateson has come to this position during a career that carried him not only into anthropology, for which he was first trained, but into psychiatry, genetics, and communication theory. . . . He . . . examines the nature of the mind, seeing it not as a nebulous something, somehow lodged somewhere in the body of each man, but as a network of interactions relating the individual with his society and his species and with the universe at large."—D. W. Harding, New York Review of Books "[Bateson's] view of the world, of science, of culture, and of man is vast and challenging. His efforts at synthesis are tantalizingly and cryptically suggestive. . . .This is a book we should all read and ponder."—Roger Keesing, American Anthropologist

    Augustine equate nothingness with the Devil? What tortuous means did 17th-century scientists employ in their attempts to create a vacuum? And why do contemporary quantum physicists believe that the void is actually seething with subatomic activity? You’ll find the answers in this dizzyingly erudite and elegantly explained book by the English cosmologist John D. Barrow.Ranging through mathematics, theology, philosophy, literature, particle physics, and cosmology, The Book of Nothing explores the enduring hold that vacuity has exercised on the human imagination. Combining high-wire speculation with a wealth of reference that takes in Freddy Mercury and Shakespeare alongside Isaac Newton, Albert Einstein, and Stephen Hawking, the result is a fascinating excursion to the vanishing point of our knowledge.

    Our brave new technologies offer incredible opportunities for work and play. But at what price?   Now renowned neuroscientist Susan Greenfield—known in the United Kingdom for challenging entrenched conventional views—brings together a range of scientific studies, news events, and cultural criticism to create an incisive snapshot of “the global now.” Disputing the assumption that our technologies are harmless tools, Greenfield explores whether incessant exposure to social media sites, search engines, and videogames is capable of rewiring our brains, and whether the minds of people born before and after the advent of the Internet differ.   Stressing the impact on Digital Natives—those who’ve never known a world without the Internet—Greenfield exposes how neuronal networking may be affected by unprecedented bombardments of audiovisual stimuli, how gaming can shape a chemical landscape in the brain similar to that in gambling addicts, how surfing the Net risks placing a premium on information rather than on deep knowledge and understanding, and how excessive use of social networking sites limits the maturation of empathy and identity.   But Mind Change also delves into the potential benefits of our digital lifestyle. Sifting through the cocktail of not only threat but opportunity these technologies afford, Greenfield explores how gaming enhances vision and motor control, how touch tablets aid students with developmental disabilities, and how political “clicktivism” foments positive change.   In a world where adults spend ten hours a day online, and where tablets are the common means by which children learn and play, Mind Change reveals as never before the complex physiological, social, and cultural ramifications of living in the digital age. A book that will be to the Internet what An Inconvenient Truth was to global warming, Mind Change is provocative, alarming, and a call to action to ensure a future in which technology fosters—not frustrates—deep thinking, creativity, and true fulfillment.

    Now, in his first book, written more than two decades after the web was created, Lanier offers this provocative and cautionary look at the way it is transforming our lives for better and for worse.The current design and function of the web have become so familiar that it is easy to forget that they grew out of programming decisions made decades ago. The web’s first designers made crucial choices (such as making one’s presence anonymous) that have had enormous—and often unintended—consequences. What’s more, these designs quickly became “locked in,” a permanent part of the web’s very structure. Lanier discusses the technical and cultural problems that can grow out of poorly considered digital design and warns that our financial markets and sites like Wikipedia, Facebook, and Twitter are elevating the “wisdom” of mobs and computer algorithms over the intelligence and judgment of individuals. Lanier also shows:How 1960s antigovernment paranoia influenced the design of the online world and enabled trolling and trivialization in online discourseHow file sharing is killing the artistic middle class;How a belief in a technological “rapture” motivates some of the most influential technologistsWhy a new humanistic technology is necessary. Controversial and fascinating, You Are Not a Gadget is a deeply felt defense of the individual from an author uniquely qualified to comment on the way technology interacts with our culture.

    But is his extraordinary intellect merely a gift of fiction, or can we learn to cultivate these abilities ourselves, to improve our lives at work and at home?We can, says psychologist and journalist Maria Konnikova, and in Mastermind she shows us how. Beginning with the "brain attic"--Holmes's metaphor for how we store information and organize knowledge--Konnikova unpacks the mental strategies that lead to clearer thinking and deeper insights. Drawing on twenty-first-century neuroscience and psychology, Mastermind explores Holmes's unique methods of ever-present mindfulness, astute observation, and logical deduction. In doing so, it shows how each of us, with some self-awareness and a little practice, can employ these same methods to sharpen our perceptions, solve difficult problems, and enhance our creative powers. For Holmes aficionados and casual readers alike, Konnikova reveals how the world's most keen-eyed detective can serve as an unparalleled guide to upgrading the mind.