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.

    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.

     The Science Book covers every area of science--astronomy, biology, chemistry, geology, math, and physics, and brings the greatest scientific ideas to life with fascinating text, quirky graphics, and pithy quotes.

    The 10,000 Year Explosion: How Civilization Accelerated Human Evolution

    From Leibniz's belief that the I Ching illustrated the principles of calculus to Marco Polo's mistaking a rhinoceros for a unicorn, Umberto Eco offers a dazzling tour of intellectual history, illuminating the ways in which we project the familiar onto the strange to make sense of the world. Uncovering layers of mistakes that have shaped human history, Eco offers with wit and clarity such instances as Columbus's voyage to the New World, the fictions that grew around the Rosicrucians and Knights Templar, and the linguistic endeavors to recreate the language of Babel, to show how serendipities can evolve out of mistakes. With erudition, anecdotes, and scholarly rigor, this new collection of essays is sure to entertain and enlighten any reader with a passion for the curious history of languages and ideas.

    Churchland grounds the philosophy of mind in the essential ingredients of biology. She reflects with humor on how she came to harmonize science and philosophy, the mind and the brain, abstract ideals and daily life.Offering lucid explanations of the neural workings that underlie identity, she reveals how the latest research into consciousness, memory, and free will can help us reexamine enduring philosophical, ethical, and spiritual questions: What shapes our personalities? How do we account for near-death experiences? How do we make decisions? And why do we feel empathy for others? Recent scientific discoveries also provide insights into a fascinating range of real-world dilemmas—for example, whether an adolescent can be held responsible for his actions and whether a patient in a coma can be considered a self.Churchland appreciates that the brain-based understanding of the mind can unnerve even our greatest thinkers. At a conference she attended, a prominent philosopher cried out, “I hate the brain; I hate the brain!” But as Churchland shows, he need not feel this way. Accepting that our brains are the basis of who we are liberates us from the shackles of superstition. It allows us to take ourselves seriously as a product of evolved mechanisms, past experiences, and social influences. And it gives us hope that we can fix some grievous conditions, and when we cannot, we can at least understand them with compassion.

    Biomimics study nature's most successful ideas over the past 3.5 million years, and adapt them for human use. The results are revolutionizing how materials are invented and how we compute, heal ourselves, repair the environment, and feed the world.Janine Benyus takes readers into the lab and in the field with maverick thinkers as they: discover miracle drugs by watching what chimps eat when they're sick; learn how to create by watching spiders weave fibers; harness energy by examining how a leaf converts sunlight into fuel in trillionths of a second; and many more examples.Composed of stories of vision and invention, personalities and pipe dreams, Biomimicry is must reading for anyone interested in the shape of our future.

    In Transcendence, Gaia Vince argues instead that modern humans are the product of a nuanced coevolution of our genes, environment, and culture that goes back into deep time. She explains how, through four key elements – fire, language, beauty, and time – our species diverged from the evolutionary path of all other animals, unleashing a compounding process that launched us into the Space Age and beyond. Provocative and poetic, Transcendence shows how a primate took dominion over nature and turned itself into something marvellous.

    But as technology has advanced and our understanding of biology has deepened, the answer has evolved. For decades, scientists have been exploring the limits of nature by modifying and manipulating DNA, cells and whole organisms to create new ones that could never have existed on their own. In Creation, science writer Adam Rutherford explains how we are now radically exceeding the boundaries of evolution and engineering entirely novel creatures—from goats that produce spider silk in their milk to bacteria that excrete diesel to genetic circuits that identify and destroy cancer cells. As strange as some of these creations may sound, this new, synthetic biology is helping scientists develop radical solutions to some of the world’s most pressing crises—from food shortages to pandemic disease to climate change—and is paving the way for inventions once relegated to science fiction. Meanwhile, these advances are shedding new light on the biggest mystery of all—how did life begin? We know that every creature on Earth came from a single cell, sparked into existence four billion years ago. And as we come closer and closer to understanding the ancient root that connects all living things, we may finally be able to achieve a second genesis—the creation of new life where none existed before. Creation takes us on a journey four billion years in the making—from the very first cell to the ground-breaking biological inventions that will shape the future of our planet.

    Somehow, within each of our brains, billions of neurons work to create our conscious experience. How does this happen? Why do we experience life in the first person? After over twenty years researching the brain, world-renowned neuroscientist Anil Seth puts forward a radical new theory of consciousness and self. His unique theory of what it means to 'be you' challenges our understanding of perception and reality and it turns what you thought you knew about yourself on its head.'Awe-inspiring and humane.' NEW STATESMAN (Books of the Year)'Fascinating.' FINANCIAL TIMES (Books of the Year)'Profound.' GUARDIAN (Books of the Year)'Brilliant.' CLAIRE TOMALIN, NEW YORK TIMES'Outstanding.' PSYCHOLOGY TODAY 'Amazing . . . a brilliant read.'RUSSELL BRAND'Beautifully written, crystal clear, deeply insightful.'DAVID EAGLEMAN, Pulitzer Prize-nominated author of Livewired'Offers us new cause for astonishment and wonder.'ANNAKA HARRIS, author of Conscious'A fascinating book. A joy to read.'NIGEL WARBURTON'Truly compelling.'PROFESSOR KARL FRISTON, Universty College London'A wonderfully accessible and comprehensive account.'SEAN CARROLL, author of Something Deeply Hidden

    Cavalli-Sforza and others have answered this question—anticipated by Darwin—with a decisive yes. Genes, Peoples, and Languages comprises five lectures that serve as a summation of the author's work over several decades, the goal of which has been nothing less than tracking the past hundred thousand years of human evolution.Cavalli-Sforza raises questions that have serious political, social, and scientific import: When and where did we evolve? How have human societies spread across the continents? How have cultural innovations affected the growth and spread of populations? What is the connection between genes and languages? Always provocative and often astonishing, Cavalli-Sforza explains why there is no genetic basis for racial classification.

    At the subatomic level, one particle seems to know what the others are doing, and according to Heisenberg's "uncertainty principle", there is a limit on how accurately nature can be observed. And yet the theory is amazingly accurate and widely applied, explaining all of chemistry and most of physics. "Introducing Quantum Theory" takes us on a step-by-step tour with the key figures, including Planck, Einstein, Bohr, Heisenberg and Schrodinger. Each contributed at least one crucial concept to the theory. The puzzle of the wave-particle duality is here, along with descriptions of the two questions raised against Bohr's "Copenhagen Interpretation" - the famous "dead and alive cat" and the EPR paradox. Both remain unresolved.

    Lying in the eastern Pacific Ocean, straddling the equator off the west coast of South America, the Galágos is the most pristine archipelago to be found anywhere in the tropics. It is so remote, so untouched, that the act of wading ashore can make you feel like you are the first to do so. Yet the Galágos is far more than a wild paradise on earth-it is one of the most important sites in the history of science. Home to over 4,000 species native to its shores, around 40 percent of them endemic, the islands have often been called a "laboratory of evolution." The finches collected on the Galágos inspired Darwin's revolutionary theory of natural selection. In The Galágos, science writer Henry Nicholls offers a lively natural and human history of the archipelago, charting its course from deserted wilderness to biological testing ground and global ecotourism hot spot. Describing the island chain's fiery geological origins as well as our species' long history of interaction with the islands, he draws vivid portraits of the life forms found in the Galágos, capturing its awe-inspiring landscapes, understated flora, and stunning wildlife. Nicholls also reveals the immense challenges facing the islands, which must continually balance conservation and ever encroaching development. Beautifully weaving together natural history, evolutionary theory, and his own experience on the islands, Nicholls shows that the story of the Galágos is not merely an isolated concern, but reflects the future of our species' relationship with nature-and the fate of our planet.

    The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understandingof paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are followed by discussions of more specific topics, and the book closes with a chapter answering common sociological questionsabout the mathematical community (such as Is it true that mathematicians burn out at the age of 25?) It is the ideal introduction for anyone who wishes to deepen their understanding of mathematics.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundredsof key topics, from philosophy to Freud, quantum theory to Islam.

    Admittedly, computers now play chess at the grandmaster level, but do they understand the game as we do? Can a computer eventually do everything a human mind can do? In this absorbing and frequently contentious book, Roger Penrose--eminent physicist and winner, with Stephen Hawking, of the prestigious Wolf prize--puts forward his view that there are some facets of human thinking that can never be emulated by a machine. Penrose examines what physics and mathematics can tell us about how the mind works, what they can't, and what we need to know to understand the physical processes of consciousness. He is among a growing number of physicists who think Einstein wasn't being stubborn when he said his little finger told him that quantum mechanics is incomplete, and he concludes that laws even deeper than quantum mechanics are essential for the operation of a mind. To support this contention, Penrose takes the reader on a dazzling tour that covers such topics as complex numbers, Turing machines, complexity theory, quantum mechanics, formal systems, Godel undecidability, phase spaces, Hilbert spaces, black holes, white holes, Hawking radiation, entropy, quasicrystals, the structure of the brain, and scores of other subjects. The Emperor's New Mind will appeal to anyone with a serious interest in modern physics and its relation to philosophical issues, as well as to physicists, mathematicians, philosophers and those on either side of the AI debate.