Petr Beckmann holds up this mirror, giving the background of the times when pi made progress -- and also when it did not, because science was being stifled by militarism or religious fanaticism.

    From Edward Lorenz’s discovery of the Butterfly Effect, to Mitchell Feigenbaum’s calculation of a universal constant, to Benoit Mandelbrot’s concept of fractals, which created a new geometry of nature, Gleick’s engaging narrative focuses on the key figures whose genius converged to chart an innovative direction for science. In Chaos, Gleick makes the story of chaos theory not only fascinating but also accessible to beginners, and opens our eyes to a surprising new view of the universe.

    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.

    In recent years, scientists like Kathryn Paige Harden have shown that DNA makes us different, in our personalities and in our health--and in ways that matter for educational and economic success in our current society.In The Genetic Lottery, Harden introduces readers to the latest genetic science, dismantling dangerous ideas about racial superiority and challenging us to grapple with what equality really means in a world where people are born different. Weaving together personal stories with scientific evidence, Harden shows why our refusal to recognize the power of DNA perpetuates the myth of meritocracy, and argues that we must acknowledge the role of genetic luck if we are ever to create a fair society.Reclaiming genetic science from the legacy of eugenics, this groundbreaking book offers a bold new vision of a society where everyone thrives, regardless of how one fares in the genetic lottery.

    Eric Drexler is the founding father of nanotechnology -- the science of engineering on a molecular level. In Radical Abundance, he shows how rapid scientific progress is about to change our world. Thanks to atomically precise manufacturing, we will soon have the power to produce radically more of what people want, and at a lower cost. The result will shake the very foundations of our economy and environment. Already, scientists have constructed prototypes for circuit boards built of millions of precisely arranged atoms. The advent of this kind of atomic precision promises to change the way we make things -- cleanly, inexpensively, and on a global scale. It allows us to imagine a world where solar arrays cost no more than cardboard and aluminum foil, and laptops cost about the same. A provocative tour of cutting edge science and its implications by the field's founder and master, Radical Abundance offers a mind-expanding vision of a world hurtling toward an unexpected future.

    Now, at a moment when mathematicians are finally moving in on a proof, Dartmouth professor Dan Rockmore tells the riveting history of the hunt for a solution.In 1859 German professor Bernhard Riemann postulated a law capable of describing with an amazing degree of accuracy the occurrence of the prime numbers. Rockmore takes us all the way from Euclid to the mysteries of quantum chaos to show how the Riemann hypothesis lies at the very heart of some of the most cutting-edge research going on today in physics and mathematics.

    The Milky Way alone encompasses 30 trillion potential home planets. Scientists Trefil and Summers bring readers on a marvelous experimental voyage through the possibilities of life--unlike anything we have experienced so far--that could exist on planets outside our own solar system.Life could be out there in many forms: on frozen worlds, living in liquid oceans beneath ice and communicating (and even battling) with bubbles; on super-dense planets, where they would have evolved body types capable of dealing with extreme gravity; on tidally locked planets with one side turned eternally toward a star; and even on "rogue worlds," which have no star at all. Yet this is no fictional flight of fancy: the authors take what we know about exoplanets and life on our own world and use that data to hypothesize about how, where, and which sorts of life might develop. Imagined Life is a must-have for anyone wanting to learn how the realities of our universe may turn out to be far stranger than fiction.

    They made the world theirs long before the rise of dinosaurs. Travelling forward into the Permian and then Triassic periods, we learn how our ancient mammal ancestors evolved from large hairy beasts with accelerating metabolisms to exploit miniaturisation, which was key to unlocking the traits that define mammals as we now know them. Elsa criss-crosses the globe to explore the sites where discoveries are being made and meet the people who make them. In Scotland, she traverses the desert dunes of prehistoric Moray, where quarry workers unearthed the footprints of Permian creatures from before the time of dinosaurs. In South Africa, she introduces us to animals, once called 'mammal-like reptiles', that gave scientists the first hints that our furry kin evolved from a lineage of egg-laying burrowers. In China, new, complete fossilised skeletons reveal mammals that were gliders, shovel-pawed Jurassic moles, and flat-tailed swimmers.This book radically reframes the narrative of our mammalian ancestors and provides a counterpoint to the stereotypes of mighty dinosaur overlords and cowering little mammals. It turns out the earliest mammals weren't just precursors, they were pioneers.

    This was life—but whose?  In his most mind-bending book yet, Ball makes that disconcerting question the focus of a tour through what scientists can now do in cell biology and tissue culture. He shows how these technologies could lead to tailor-made replacement organs for when ours fail, to new medical advances for repairing damage and assisting conception, and to new ways of “growing a human.” For example, it might prove possible to turn skin cells not into neurons but into eggs and sperm, or even to turn oneself into the constituent cells of embryos. Such methods would also create new options for gene editing, with all the attendant moral dilemmas. Ball argues that such advances can therefore never be about “just the science,” because they come already surrounded by a host of social narratives, preconceptions, and prejudices. But beyond even that, these developments raise questions about identity and self, birth and death, and force us to ask how mutable the human body really is—and what forms it might take in years to come.

    Humans: from the beginning will appeal to anybody who reads about these discoveries, is intrigued by them, and would like to know more about prehistory. Now brought fully up to date for 2015, Humans: from the beginning is a single-volume guide to the human past. Drawing upon expert literature and the latest multi-disciplinary research, this rigorous but accessible book traces the whole of the human story from the first apes to the first cities. The end product of five years of research, it has also been planned from the ground up to take advantage of the eBook format and ease access to visual matter, references and glossary items. Humans: from the beginning is written for the non-specialist, but it is sufficiently comprehensive in scope, rigorous in content, and well-referenced to serve as an ideal ‘one-stop’ text not only for undergraduate students of relevant disciplines, but also to postgraduates, researchers and other academics seeking to broaden their knowledge. This 32-chapter work presents an even-handed coverage of topics including: • How climate change has long played a pivotal role in our affairs and those of our ancestors. • How humans evolved from apes at a time when the apes were facing extinction. • Why the last common ancestor of humans and chimpanzees (our closest living relatives) might have been more like a human than a chimpanzee. • A possible Asian rather than African origin for the earliest humans. • Why the Neanderthals were not the dimwits of popular imagination. • How language and modern human behaviour evolved: an examination of theories including those of Robin Dunbar, Steven Mithen and Derek Bickerton. • How the small group of modern humans that eventually colonised the whole of the non-African world might have started from Arabia rather than Africa. • David Lewis-Williams’ theory that the cave art of Ice Age Europe was linked to a shamanistic belief system that might be rooted in the very architecture of the human brain. • Why the Neolithic transition from hunter-gathering to agriculture was a lengthy process, with many down sides. • Colin Renfrew’s still-controversial theory that the spread of farming communities in Neolithic times was responsible for the languages now spoken in many parts of the world. • How an ‘Urban Revolution’ replaced egalitarian farming communities with socially-stratified kingdoms and city-states in just a few millennia. • How the complex, technological societies of today have much in common with not only the earliest states but much earlier primate societies.

    The mind-body problem cannot be confined to the relation between animal minds and animal bodies. If materialism cannot accommodate consciousness and other mind-related aspects of reality, then we must abandon a purely materialist understanding of nature in general, extending to biology, evolutionary theory, and cosmology. Since minds are features of biological systems that have developed through evolution, the standard materialist version of evolutionary biology is fundamentally incomplete. And the cosmological history that led to the origin of life and the coming into existence of the conditions for evolution cannot be a merely materialist history. An adequate conception of nature would have to explain the appearance in the universe of materially irreducible conscious minds, as such. No such explanation is available, and the physical sciences, including molecular biology, cannot be expected to provide one. The book explores these problems through a general treatment of the obstacles to reductionism, with more specific application to the phenomena of consciousness, cognition, and value. The conclusion is that physics cannot be the theory of everything.

    We nevertheless muddle through even in the absence of theories of how to act. But how do we do it?In Probably Approximately Correct, computer scientist Leslie Valiant presents a masterful synthesis of learning and evolution to show how both individually and collectively we not only survive, but prosper in a world as complex as our own. The key is “probably approximately correct” algorithms, a concept Valiant developed to explain how effective behavior can be learned. The model shows that pragmatically coping with a problem can provide a satisfactory solution in the absence of any theory of the problem. After all, finding a mate does not require a theory of mating. Valiant’s theory reveals the shared computational nature of evolution and learning, and sheds light on perennial questions such as nature versus nurture and the limits of artificial intelligence.Offering a powerful and elegant model that encompasses life’s complexity, Probably Approximately Correct has profound implications for how we think about behavior, cognition, biological evolution, and the possibilities and limits of human and machine intelligence.

    The new edition is thoroughly updated, including most notably a new chapter on innate immunity, a capstone chapter on immune responses in time and space, and many new focus boxes drawing attention to exciting clinical, evolutionary, or experimental connections that help bring the material to life.See what's in the LaunchPad

    The information is stuck on the tip of your tongue. It's an experience so frustrating that it seems like it must be a brain malfunction. In fact, it's actually a hallmark of our greatest power: self-awareness. As cognitive neuroscientist Stephen M. Fleming shows in Know Thyself,self-awareness shapes our intelligence, memory, and conscious experience. It's integral to how we teach and learn. We use it every time we weigh difficult questions, such as assessing how we'd respond in a crisis. Drawing on psychology and neuroscience, Fleming provides deep insight into how self-awareness works, and how we can enhance our ability to know our strengths and weaknesses. In the end, this book isn'tjust about psychology: it's about the science of human excellence.

    . . full of intellectual treats and tricks, of whimsy and deep scientific philosophy. It is highbrow entertainment at its best, a teasing challenge to all who aspire to think about the universe." — New York Herald TribuneOne of the world's foremost nuclear physicists (celebrated for his theory of radioactive decay, among other accomplishments), George Gamow possessed the unique ability of making the world of science accessible to the general reader.He brings that ability to bear in this delightful expedition through the problems, pleasures, and puzzles of modern science. Among the topics scrutinized with the author's celebrated good humor and pedagogical prowess are the macrocosm and the microcosm, theory of numbers, relativity of space and time, entropy, genes, atomic structure, nuclear fission, and the origin of the solar system.In the pages of this book readers grapple with such crucial matters as whether it is possible to bend space, why a rocket shrinks, the "end of the world problem," excursions into the fourth dimension, and a host of other tantalizing topics for the scientifically curious. Brimming with amusing anecdotes and provocative problems, One Two Three . . . Infinity also includes over 120 delightful pen-and-ink illustrations by the author, adding another dimension of good-natured charm to these wide-ranging explorations.Whatever your level of scientific expertise, chances are you'll derive a great deal of pleasure, stimulation, and information from this unusual and imaginative book. It belongs in the library of anyone curious about the wonders of the scientific universe. "In One Two Three . . . Infinity, as in his other books, George Gamow succeeds where others fail because of his remarkable ability to combine technical accuracy, choice of material, dignity of expression, and readability." — Saturday Review of Literature