Using illustrations and examples from science fiction pulp magazines and comic books, The Amazing Story of Quantum Mechanics explains the fundamental principles of quantum mechanics that underlie the world we live in.Watch a Video

    In A Brief History of Mathematical Thought, Luke Heaton explores how the language of mathematics has evolved over time, enabling new technologies and shaping the way people think. From stone-age rituals to algebra, calculus, and the concept of computation, Heaton shows the enormous influence of mathematics on science, philosophy and the broader human story. The book traces the fascinating history of mathematical practice, focusing on the impact of key conceptual innovations. Its structure of thirteen chapters split between four sections is dictated by a combination of historical and thematic considerations. In the first section, Heaton illuminates the fundamental concept of number. He begins with a speculative and rhetorical account of prehistoric rituals, before describing the practice of mathematics in Ancient Egypt, Babylon and Greece. He then examines the relationship between counting and the continuum of measurement, and explains how the rise of algebra has dramatically transformed our world. In the second section, he explores the origins of calculus and the conceptual shift that accompanied the birth of non-Euclidean geometries. In the third section, he examines the concept of the infinite and the fundamentals of formal logic. Finally, in section four, he considers the limits of formal proof, and the critical role of mathematics in our ongoing attempts to comprehend the world around us. The story of mathematics is fascinating in its own right, but Heaton does more than simply outline a history of mathematical ideas. More importantly, he shows clearly how the history and philosophy of maths provides an invaluable perspective on human nature.

     This top-selling, theorem-proof text presents a careful treatment of the principal topics of linear algebra, and illustrates the power of the subject through a variety of applications. It emphasizes the symbiotic relationship between linear transformations and matrices, but states theorems in the more general infinite-dimensional case where appropriate.

    Peter Bernstein has written a comprehensive history of man's efforts to understand risk and probability, beginning with early gamblers in ancient Greece, continuing through the 17th-century French mathematicians Pascal and Fermat and up to modern chaos theory. Along the way he demonstrates that understanding risk underlies everything from game theory to bridge-building to winemaking.

    Full of insights, arguments and philosophical perspectives, the book covers an amazing array of topics. Beginning in antiquity with Democritus, it progresses through logic and set theory, computability and complexity theory, quantum computing, cryptography, the information content of quantum states and the interpretation of quantum mechanics. There are also extended discussions about time travel, Newcomb's Paradox, the anthropic principle and the views of Roger Penrose. Aaronson's informal style makes this fascinating book accessible to readers with scientific backgrounds, as well as students and researchers working in physics, computer science, mathematics and philosophy.

    Readers will find excerpts from bestsellers such as Douglas R. Hofstadter's Gödel, Escher, Bach, Francis Crick's Life Itself, Loren Eiseley's The Immense Journey, Daniel Dennett's Darwin's Dangerous Idea, and Rachel Carson's The Sea Around Us. There are classic essays ranging from J.B.S. Haldane's "On Being the Right Size" and Garrett Hardin's "The Tragedy of the Commons" to Alan Turing's "Computing Machinery and Intelligence" and Albert Einstein's famed New York Times article on "Relativity." And readers will also discover lesser-known but engaging pieces such as Lewis Thomas's "Seven Wonders of Science," J. Robert Oppenheimer on "War and Physicists," and Freeman Dyson's memoir of studying under Hans Bethe.A must-read volume for all science buffs, The Oxford Book of Modern Science Writing is a rich and vibrant anthology that captures the poetry and excitement of scientific thought and discovery.One of New Scientist's Editor's Picks for 2008.

    Yet it is so ravaged by human activity that half its species could be gone by the end of the present century. These two contrasting truths—unexpected magnificence and underestimated peril—have become compellingly clear during the past two decades of research on biological diversity.In this dazzlingly intelligent and ultimately hopeful book, Wilson describes what treasures of the natural world we are about to lose forever—in many cases animals, insects, and plants we have only just discovered, and whose potential to nourish us, protect us, and cure our illnesses is immeasurable—and what we can do to save them. In the process, he explores the ethical and religious bases of the conservation movement and deflates the myth that environmental policy is antithetical to economic growth by illustrating how new methods of conservation can ensure long-term economic well-being.The Future of Life is a magisterial accomplishment: both a moving description of our biosphere and a guidebook for the protection of all its species, including humankind.

    Why does music evoke such powerful moods? The answers are at last be- coming clear, thanks to revolutionary neuroscience and the emerging field of evolutionary psychology. Both a cutting-edge study and a tribute to the beauty of music itself, This Is Your Brain on Music unravels a host of mysteries that affect everything from pop culture to our understanding of human nature, including: • Are our musical preferences shaped in utero? • Is there a cutoff point for acquiring new tastes in music? • What do PET scans and MRIs reveal about the brain’s response to music? • Is musical pleasure different from other kinds of pleasure?This Is Your Brain on Music explores cultures in which singing is considered an essential human function, patients who have a rare disorder that prevents them from making sense of music, and scientists studying why two people may not have the same definition of pitch. At every turn, this provocative work unlocks deep secrets about how nature and nurture forge a uniquely human obsession.

    Much like human families, tree parents live together with their children, communicate with them, and support them as they grow, sharing nutrients with those who are sick or struggling and creating an ecosystem that mitigates the impact of extremes of heat and cold for the whole group. As a result of such interactions, trees in a family or community are protected and can live to be very old. In contrast, solitary trees, like street kids, have a tough time of it and in most cases die much earlier than those in a group.Drawing on groundbreaking new discoveries, Wohlleben presents the science behind the secret and previously unknown life of trees and their communication abilities; he describes how these discoveries have informed his own practices in the forest around him. As he says, a happy forest is a healthy forest, and he believes that eco-friendly practices not only are economically sustainable but also benefit the health of our planet and the mental and physical health of all who live on Earth.

    The term “complexity” can be misleading, however, because what makes West’s discoveries so beautiful is that he has found an underlying simplicity that unites the seemingly complex and diverse phenomena of living systems, including our bodies, our cities and our businesses. Fascinated by issues of aging and mortality, West applied the rigor of a physicist to the biological question of why we live as long as we do and no longer. The result was astonishing, and changed science, creating a new understanding of energy use and metabolism: West found that despite the riotous diversity in the sizes of mammals, they are all, to a large degree, scaled versions of each other. If you know the size of a mammal, you can use scaling laws to learn everything from how much food it eats per day, what its heart-rate is, how long it will take to mature, its lifespan, and so on. Furthermore, the efficiency of the mammal’s circulatory systems scales up precisely based on weight: if you compare a mouse, a human and an elephant on a logarithmic graph, you find with every doubling of average weight, a species gets 25% more efficient—and lives 25% longer. This speaks to everything from how long we can expect to live to how many hours of sleep we need. Fundamentally, he has proven, the issue has to do with the fractal geometry of the networks that supply energy and remove waste from the organism's body. West's work has been game-changing for biologists, but then he made the even bolder move of exploring his work's applicability to cities. Cities, too, are constellations of networks and laws of scalability relate with eerie precision to them. For every doubling in a city's size, the city needs 15% less road, electrical wire, and gas stations to support the same population. More amazingly, for every doubling in size, cities produce 15% more patents and more wealth, as well as 15% more crime and disease. This broad pattern lays the groundwork for a new science of cities. Recently, West has applied his revolutionary work on cities and biological life to the business world. This investigation has led to powerful insights into why some companies thrive while others fail. The implications of these discoveries are far-reaching, and are just beginning to be explored. Scale is a thrilling scientific adventure story about the elemental natural laws that bind us together in simple but profound ways. Through the brilliant mind of Geoffrey West, we can envision how cities, companies and biological life alike are dancing to the same simple, powerful tune, however diverse and unrelated they are to each other.From the Hardcover edition.

    We start counting our fingers and toes and end up balancing checkbooks and calculating risk. So powerful is the appeal of numbers that many people ascribe to them a mystical significance. Other numbers go beyond the supernatural, working to explain our universe and how it behaves. In Cosmic Numbers, mathematics professor James D. Stein traces the discovery, evolution, and interrelationships of the numbers that define our world. Everyone knows about the speed of light and absolute zero, but numbers like Boltzmann’s constant and the Chandrasekhar limit are not as well known, and they do far more than one might imagine: They tell us how this world began and what the future holds. Much more than a gee-whiz collection of facts and figures, Cosmic Numbers illuminates why particular numbers are so important—both to the scientist and to the rest of us.

    Even after more than three centuries and the revolutions of Einsteinian relativity and quantum mechanics, Newtonian physics continues to account for many of the phenomena of the observed world, and Newtonian celestial dynamics is used to determine the orbits of our space vehicles.This completely new translation, the first in 270 years, is based on the third (1726) edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms. Newton's principles describe acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. A great work in itself, the Principia also revolutionized the methods of scientific investigation. It set forth the fundamental three laws of motion and the law of universal gravity, the physical principles that account for the Copernican system of the world as emended by Kepler, thus effectively ending controversy concerning the Copernican planetary system.The illuminating Guide to the Principia by I. Bernard Cohen, along with his and Anne Whitman's translation, will make this preeminent work truly accessible for today's scientists, scholars, and students.

    Yet there’s a black hole at the heart of biology. We do not know why complex life is the way it is, or, for that matter, how life first began. In The Vital Question, award-winning author and biochemist Nick Lane radically reframes evolutionary history, putting forward a solution to conundrums that have puzzled generations of scientists.For two and a half billion years, from the very origins of life, single-celled organisms such as bacteria evolved without changing their basic form. Then, on just one occasion in four billion years, they made the jump to complexity. All complex life, from mushrooms to man, shares puzzling features, such as sex, which are unknown in bacteria. How and why did this radical transformation happen?The answer, Lane argues, lies in energy: all life on Earth lives off a voltage with the strength of a lightning bolt. Building on the pillars of evolutionary theory, Lane’s hypothesis draws on cutting-edge research into the link between energy and cell biology, in order to deliver a compelling account of evolution from the very origins of life to the emergence of multicellular organisms, while offering deep insights into our own lives and deaths.Both rigorous and enchanting, The Vital Question provides a solution to life’s vital question: why are we as we are, and indeed, why are we here at all?

    The work of English clergyman, educator and Shakespearean scholar Edwin A. Abbott (1838-1926), it describes the journeys of A. Square [sic – ed.], a mathematician and resident of the two-dimensional Flatland, where women-thin, straight lines-are the lowliest of shapes, and where men may have any number of sides, depending on their social status.Through strange occurrences that bring him into contact with a host of geometric forms, Square has adventures in Spaceland (three dimensions), Lineland (one dimension) and Pointland (no dimensions) and ultimately entertains thoughts of visiting a land of four dimensions—a revolutionary idea for which he is returned to his two-dimensional world. Charmingly illustrated by the author, Flatland is not only fascinating reading, it is still a first-rate fictional introduction to the concept of the multiple dimensions of space. "Instructive, entertaining, and stimulating to the imagination." — Mathematics Teacher.

    Attracted by the simplicity and clarity of his writing, readers of all ages and backgrounds have found in Professor Gombrich a true master, and one who combines knowledge and wisdom with a unique gift for communicating his deep love of the subject. The Story of Art, one of the most famous and popular books on art ever written, has been a world bestseller for over four decades. Attracted by the simplicity and clarity of his writing, readers of all ages and backgrounds have found in Professor Gombrich a true master, and one who combines knowledge and wisdom with a unique gift for communicating his deep love of the subject.For the first time in many years the book has been completely redesigned. The illustrations, now in colour throughout, have all been improved and reoriginated, and include six fold-outs. The text has been revised and updated where appropriate, and a number of significant new artists have been incorporated. The bibliographies have been expanded and updated, and the maps and charts redrawn. The Story of Art has always been admired for two key qualities: it is a pleasure to read and a pleasure to handle. In these respects the new edition is true to its much-loved predecessors: the text runs as smoothly as ever and the improved illustrations are always on the page where the reader needs them. In its new edition, this classic work continues its triumphant progress tirelessly for yet another generation, to remain the title of first choice for any newcomer to art or the connoisseur. The Story of Art has always been admired for two key qualities: it is a pleasure to read and a pleasure to handle. In these respects the new edition is true to its much-loved predecessors: the text runs as smoothly as ever and the improved illustrations are always on the page where the reader needs them. In its new edition, this classic work continues its triumphant progress tirelessly for yet another generation, to remain the title of first choice for any newcomer to art or the connoisseur.