Bell, a leading figure in mathematics in America for half a century. Men of Mathematics accessibly explains the major mathematics, from the geometry of the Greeks through Newton's calculus and on to the laws of probability, symbolic logic, and the fourth dimension. In addition, the book goes beyond pure mathematics to present a series of engrossing biographies of the great mathematicians -- an extraordinary number of whom lived bizarre or unusual lives. Finally, Men of Mathematics is also a history of ideas, tracing the majestic development of mathematical thought from ancient times to the twentieth century. This enduring work's clear, often humorous way of dealing with complex ideas makes it an ideal book for the non-mathematician.

    Although we are unaware of it, our brains sift through and discard billions of pieces of data in order to allow us to understand the world around us. In fact, most of what we call thought is actually the unconscious discarding of information. What our consciousness rejects constitutes the most valuable part of ourselves, the "Me" that the "I" draws on for most of our actions--fluent speech, riding a bicycle, anything involving expertise. No wonder that, in this age of information, so many of us feel empty and dissatisfied. As engaging as it is insightful, this important book encourages us to rely more on what our instincts and our senses tell us so that we can better appreciate the richness of human life.

    That’s a mistake, Tim Harford says in The Data Detective. We shouldn’t be suspicious of statistics—we need to understand what they mean and how they can improve our lives: they are, at heart, human behavior seen through the prism of numbers and are often “the only way of grasping much of what is going on around us.” If we can toss aside our fears and learn to approach them clearly—understanding how our own preconceptions lead us astray—statistics can point to ways we can live better and work smarter.As “perhaps the best popular economics writer in the world” (New Statesman), Tim Harford is an expert at taking complicated ideas and untangling them for millions of readers. In The Data Detective, he uses new research in science and psychology to set out ten strategies for using statistics to erase our biases and replace them with new ideas that use virtues like patience, curiosity, and good sense to better understand ourselves and the world. As a result, The Data Detective is a big-idea book about statistics and human behavior that is fresh, unexpected, and insightful.

    Over years of groundbreaking experiments, he has distilled remarkable discoveries significant enough to become the bedrock of a whole new scientific field: social physics. Humans have more in common with bees than we like to admit: We’re social creatures first and foremost. Our most important habits of action—and most basic notions of common sense—are wired into us through our coordination in social groups. Social physics is about idea flow, the way human social networks spread ideas and transform those ideas into behaviors. Thanks to the millions of digital bread crumbs people leave behind via smartphones, GPS devices, and the Internet, the amount of new information we have about human activity is truly profound. Until now, sociologists have depended on limited data sets and surveys that tell us how people say they think and behave, rather than what they actually do. As a result, we’ve been stuck with the same stale social structures—classes, markets—and a focus on individual actors, data snapshots, and steady states. Pentland shows that, in fact, humans respond much more powerfully to social incentives that involve rewarding others and strengthening the ties that bind than incentives that involve only their own economic self-interest. Pentland and his teams have found that they can study patterns of information exchange in a social network without any knowledge of the actual content of the information and predict with stunning accuracy how productive and effective that network is, whether it’s a business or an entire city. We can maximize a group’s collective intelligence to improve performance and use social incentives to create new organizations and guide them through disruptive change in a way that maximizes the good. At every level of interaction, from small groups to large cities, social networks can be tuned to increase exploration and engagement, thus vastly improving idea flow.  Social Physics will change the way we think about how we learn and how our social groups work—and can be made to work better, at every level of society. Pentland leads readers to the edge of the most important revolution in the study of social behavior in a generation, an entirely new way to look at life itself.

    Covers textual and linguistic matters; mathematical analyses of Euclid's ideas; commentators; refutations, supports, extrapolations, reinterpretations and historical notes. Vol. 1 includes Introduction, Books 1-2: Triangles, rectangles.

    At the dawn of the Industrial Revolution in eighteenth-century England, standards of measurement were established, giving way to the development of machine tools—machines that make machines. Eventually, the application of precision tools and methods resulted in the creation and mass production of items from guns and glass to mirrors, lenses, and cameras—and eventually gave way to further breakthroughs, including gene splicing, microchips, and the Hadron Collider.Simon Winchester takes us back to origins of the Industrial Age, to England where he introduces the scientific minds that helped usher in modern production: John Wilkinson, Henry Maudslay, Joseph Bramah, Jesse Ramsden, and Joseph Whitworth. It was Thomas Jefferson who later exported their discoveries to the fledgling United States, setting the nation on its course to become a manufacturing titan. Winchester moves forward through time, to today’s cutting-edge developments occurring around the world, from America to Western Europe to Asia.As he introduces the minds and methods that have changed the modern world, Winchester explores fundamental questions. Why is precision important? What are the different tools we use to measure it? Who has invented and perfected it? Has the pursuit of the ultra-precise in so many facets of human life blinded us to other things of equal value, such as an appreciation for the age-old traditions of craftsmanship, art, and high culture? Are we missing something that reflects the world as it is, rather than the world as we think we would wish it to be? And can the precise and the natural co-exist in society?

    In Why Beauty Is Truth, world-famous mathematician Ian Stewart narrates the history of the emergence of this remarkable area of study. Stewart introduces us to such characters as the Renaissance Italian genius, rogue, scholar, and gambler Girolamo Cardano, who stole the modern method of solving cubic equations and published it in the first important book on algebra, and the young revolutionary Evariste Galois, who refashioned the whole of mathematics and founded the field of group theory only to die in a pointless duel over a woman before his work was published. Stewart also explores the strange numerology of real mathematics, in which particular numbers have unique and unpredictable properties related to symmetry. He shows how Wilhelm Killing discovered “Lie groups” with 14, 52, 78, 133, and 248 dimensions-groups whose very existence is a profound puzzle. Finally, Stewart describes the world beyond superstrings: the “octonionic” symmetries that may explain the very existence of the universe.

    The adjective 'medieval' has become a synonym for brutality and uncivilized behavior. Yet without the work of medieval scholars there could have been no Galileo, no Newton and no Scientific Revolution. In God's Philosophers, James Hannam debunks many of the myths about the Middle Ages, showing that medieval people did not think the earth is flat, nor did Columbus 'prove' that it is a sphere; the Inquisition burnt nobody for their science nor was Copernicus afraid of persecution; no Pope tried to ban human dissection or the number zero. God's Philosophers is a celebration of the forgotten scientific achievements of the Middle Ages - advances which were often made thanks to, rather than in spite of, the influence of Christianity and Islam. Decisive progress was also made in technology: spectacles and the mechanical clock, for instance, were both invented in thirteenth-century Europe. Charting an epic journey through six centuries of history, God's Philosophers brings back to light the discoveries of neglected geniuses like John Buridan, Nicole Oresme and Thomas Bradwardine, as well as putting into context the contributions of more familiar figures like Roger Bacon, William of Ockham and Saint Thomas Aquinas.

    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?

    This is a new view of mathematics, not the one we learned at school but a comprehensive guide to the patterns that recur through the universe and underlie human affairs. A Beginner's Guide to Constructing, the Universe shows you: Why cans, pizza, and manhole covers are round.Why one and two weren't considered numbers by the ancient Greeks.Why squares show up so often in goddess art and board games.What property makes the spiral the most widespread shape in nature, from embryos and hair curls to hurricanes and galaxies. How the human body shares the design of a bean plant and the solar system. How a snowflake is like Stonehenge, and a beehive like a calendar. How our ten fingers hold the secrets of both a lobster a cathedral, and much more.

    In the grand tradition of such luminaries of the field as Bill Bryson, Richard Dawkins, and Oliver Sacks—as well as his own The Whole Shebang and Coming of Age in the Milky Way—Ferris has written a brilliant chronicle of how science sparked the spread of liberal democracy and transformed today’s world.

    Drawing on his experience as one of the foremost statesmen of the modern era—advising presidents, traveling the world, observing and shaping the central foreign policy events of recent decades—Kissinger now reveals his analysis of the ultimate challenge for the twenty-first century: how to build a shared international order in a world of divergent historical perspectives, violent conflict, proliferating technology, and ideological extremism.There has never been a true “world order,” Kissinger observes. For most of history, civilizations defined their own concepts of order. Each considered itself the center of the world and envisioned its distinct principles as universally relevant. China conceived of a global cultural hierarchy with the Emperor at its pinnacle. In Europe, Rome imagined itself surrounded by barbarians; when Rome fragmented, European peoples refined a concept of an equilibrium of sovereign states and sought to export it across the world. Islam, in its early centuries, considered itself the world’s sole legitimate political unit, destined to expand indefinitely until the world was brought into harmony by religious principles. The United States was born of a conviction about the universal applicability of democracy—a conviction that has guided its policies ever since.Now international affairs take place on a global basis, and these historical concepts of world order are meeting. Every region participates in questions of high policy in every other, often instantaneously. Yet there is no consensus among the major actors about the rules and limits guiding this process, or its ultimate destination. The result is mounting tension.Grounded in Kissinger’s deep study of history and his experience as National Security Advisor and Secretary of State, World Order guides readers through crucial episodes in recent world history. Kissinger offers a unique glimpse into the inner deliberations of the Nixon administration’s negotiations with Hanoi over the end of the Vietnam War, as well as Ronald Reagan’s tense debates with Soviet Premier Gorbachev in Reykjavík. He offers compelling insights into the future of U.S.–China relations and the evolution of the European Union, and examines lessons of the conflicts in Iraq and Afghanistan. Taking readers from his analysis of nuclear negotiations with Iran through the West’s response to the Arab Spring and tensions with Russia over Ukraine, World Order anchors Kissinger’s historical analysis in the decisive events of our time.Provocative and articulate, blending historical insight with geopolitical prognostication, World Order is a unique work that could come only from a lifelong policymaker and diplomat.

    a personal confession of its creator and a kind of involuntary and unperceived memoir.". Stewart affirms this maxim in his colorful reinterpretation of the lives and works of 17th-century philosophers Spinoza and Leibniz. In November 1676, the foppish courtier Leibniz, "the ultimate insider... an orthodox Lutheran from conservative Germany," journeyed to The Hague to visit the self-sufficient, freethinking Spinoza, "a double exile... an apostate Jew from licentious Holland." A prodigious polymath, Leibniz understood Spinoza's insight that "science was in the process of rendering the God of revelation obsolete; that it had already undermined the special place of the human individual in nature." Spinoza embraced this new world. Seeing the orthodox God as a "prop for theocratic tyranny," he articulated the basic theory for the modern secular state. Leibniz, on the other hand, spent the rest of his life championing God and theocracy like a defense lawyer defending a client he knows is guilty. He elaborated a metaphysics that was, at bottom, a reaction to Spinoza and collapses into Spinozism, as Stewart deftly shows. For Stewart, Leibniz's reaction to Spinoza and modernity set the tone for "the dominant form of modern philosophy"—a category that includes Kant, Hegel, Bergson, Heidegger and "the whole 'postmodern' project of deconstructing the phallogocentric tradition of western thought." Readers of philosophy may find much to disagree with in these arguments, but Stewart's wit and profluent prose make this book a fascinating read.

    Hardy, in the years before World War I. Through their eyes the reader is taken on a journey through numbers theory. Ramanujan would regularly telescope 12 steps of logic into two - the effect is said to be like Dr Watson in the train of some argument by Sherlock Holmes. The language of symbols and infinitely large (and small) regions of mathematics should be rendered with clarity for the general reader.

    Kandel, The Age of Insight takes us to Vienna 1900, where leaders in science, medicine, and art began a revolution that changed forever how we think about the human mind—our conscious and unconscious thoughts and emotions—and how mind and brain relate to art.   At the turn of the century, Vienna was the cultural capital of Europe. Artists and scientists met in glittering salons, where they freely exchanged ideas that led to revolutionary breakthroughs in psychology, brain science, literature, and art. Kandel takes us into the world of Vienna to trace, in rich and rewarding detail, the ideas and advances made then, and their enduring influence today.   The Vienna School of Medicine led the way with its realization that truth lies hidden beneath the surface. That principle infused Viennese culture and strongly influenced the other pioneers of Vienna 1900. Sigmund Freud shocked the world with his insights into how our everyday unconscious aggressive and erotic desires are repressed and disguised in symbols, dreams, and behavior. Arthur Schnitzler revealed women’s unconscious sexuality in his novels through his innovative use of the interior monologue. Gustav Klimt, Oscar Kokoschka, and Egon Schiele created startlingly evocative and honest portraits that expressed unconscious lust, desire, anxiety, and the fear of death.   Kandel tells the story of how these pioneers—Freud, Schnitzler, Klimt, Kokoschka, and Schiele—inspired by the Vienna School of Medicine, in turn influenced the founders of the Vienna School of Art History to ask pivotal questions such as What does the viewer bring to a work of art? How does the beholder respond to it? These questions prompted new and ongoing discoveries in psychology and brain biology, leading to revelations about how we see and perceive, how we think and feel, and how we respond to and create works of art. Kandel, one of the leading scientific thinkers of our time, places these five innovators in the context of today’s cutting-edge science and gives us a new understanding of the modernist art of Klimt, Kokoschka, and Schiele, as well as the school of thought of Freud and Schnitzler. Reinvigorating the intellectual enquiry that began in Vienna 1900, The Age of Insight is a wonderfully written, superbly researched, and beautifully illustrated book that also provides a foundation for future work in neuroscience and the humanities. It is an extraordinary book from an international leader in neuroscience and intellectual history.