Now he brings his considerable talents to the history of one of math's most enduring puzzles: the seemingly paradoxical nature of infinity.Is infinity a valid mathematical property or a meaningless abstraction? The nineteenth-century mathematical genius Georg Cantor's answer to this question not only surprised him but also shook the very foundations upon which math had been built. Cantor's counterintuitive discovery of a progression of larger and larger infinities created controversy in his time and may have hastened his mental breakdown, but it also helped lead to the development of set theory, analytic philosophy, and even computer technology.Smart, challenging, and thoroughly rewarding, Wallace's tour de force brings immediate and high-profile recognition to the bizarre and fascinating world of higher mathematics.

    Widely praised and much-discussed, this classic book explores how cooperation can emerge in a world of self-seeking egoists—whether superpowers, businesses, or individuals—when there is no central authority to police their actions. The problem of cooperation is central to many different fields. Robert Axelrod recounts the famous computer tournaments in which the “cooperative” program Tit for Tat recorded its stunning victories, explains its application to a broad spectrum of subjects, and suggests how readers can both apply cooperative principles to their own lives and teach cooperative principles to others.

    In this fascinating, provocative new book, Kevin Kelly provides an optimistic road map for the future, showing how the coming changes in our lives—from virtual reality in the home to an on-demand economy to artificial intelligence embedded in everything we manufacture—can be understood as the result of a few long-term, accelerating forces. Kelly both describes these deep trends—flowing, screening, accessing, sharing, filtering, remixing, tracking, and questioning—and demonstrates how they overlap and are codependent on one another. These larger forces will completely revolutionize the way we buy, work, learn, and communicate with each other. By understanding and embracing them, says Kelly, it will be easier for us to remain on top of the coming wave of changes and to arrange our day-to-day relationships with technology in ways that bring forth maximum benefits. Kelly’s bright, hopeful book will be indispensable to anyone who seeks guidance on where their business, industry, or life is heading—what to invent, where to work, in what to invest, how to better reach customers, and what to begin to put into place—as this new world emerges.

    Every aircraft is equipped with an almost indestructible black box. When there is an accident, the box is opened, the data is analyzed, and the reason for the accident excavated. This ensures that procedures are adapted so that the same mistake doesn’t happen again. With this method, the industry has created an astonishing safety record.For pilots working in a safety-critical industry, getting it wrong can have deadly consequences. But most of us have a relationship with failure that impedes progress, halts innovation, and damages our lives. We don’t acknowledge it or learn from it —though we often think we do.Moving from anthropology to psychology and from history to complexity theory, Matthew Syed explains why even when we think we have 20/20 hindsight, our vision’s still fuzzy. He offers a radical new idea: that the most important determinant of success in any field, whether sports, business, or life, is an acknowledgment of failure and a willingness to engage with it. This is how we learn, progress and excel. This approach explains everything from biological evolution and the efficiency of markets to the success of the Mercedes F1 team and the mindset of David Beckham.Using a cornucopia of interviews, gripping stories, and sharp-edged science, Syed explores the intimate relationship between failure and success, and shows why we need to transport black box thinking into our own lives. If we wish to unleash our potential, we must diagnose and break free of our failures. Part manifesto for change, part intellectual adventure, this groundbreaking book reveals how to do both.

    Douglas Hubbard helps us create a path to know the answer to almost any question in business, in science, or in life . . . Hubbard helps us by showing us that when we seek metrics to solve problems, we are really trying to know something better than we know it now. How to Measure Anything provides just the tools most of us need to measure anything better, to gain that insight, to make progress, and to succeed." -Peter Tippett, PhD, M.D. Chief Technology Officer at CyberTrust and inventor of the first antivirus software "Doug Hubbard has provided an easy-to-read, demystifying explanation of how managers can inform themselves to make less risky, more profitable business decisions. We encourage our clients to try his powerful, practical techniques." -Peter Schay EVP and COO of The Advisory Council "As a reader you soon realize that actually everything can be measured while learning how to measure only what matters. This book cuts through conventional cliches and business rhetoric and offers practical steps to using measurements as a tool for better decision making. Hubbard bridges the gaps to make college statistics relevant and valuable for business decisions." -Ray Gilbert EVP Lucent "This book is remarkable in its range of measurement applications and its clarity of style. A must-read for every professional who has ever exclaimed, 'Sure, that concept is important, but can we measure it?'" -Dr. Jack Stenner Cofounder and CEO of MetraMetrics, Inc.

    In Rise of the Robots, Silicon Valley entrepreneur Martin Ford argues that this is absolutely not the case. As technology continues to accelerate and machines begin taking care of themselves, fewer people will be necessary. Artificial intelligence is already well on its way to making “good jobs” obsolete: many paralegals, journalists, office workers, and even computer programmers are poised to be replaced by robots and smart software. As progress continues, blue and white collar jobs alike will evaporate, squeezing working- and middle-class families ever further. At the same time, households are under assault from exploding costs, especially from the two major industries—education and health care—that, so far, have not been transformed by information technology. The result could well be massive unemployment and inequality as well as the implosion of the consumer economy itself.In Rise of the Robots, Ford details what machine intelligence and robotics can accomplish, and implores employers, scholars, and policy makers alike to face the implications. The past solutions to technological disruption, especially more training and education, aren't going to work, and we must decide, now, whether the future will see broad-based prosperity or catastrophic levels of inequality and economic insecurity. Rise of the Robots is essential reading for anyone who wants to understand what accelerating technology means for their own economic prospects—not to mention those of their children—as well as for society as a whole.

    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.

    Sowell, one of America's most celebrated public intellectuals, describes in concrete detail how knowledge is shared and disseminated throughout modern society. He warns that society suffers from an ever-widening gap between firsthand knowledge and decision making--a gap that threatens not only our economic and political efficiency but our very freedom. This is because actual knowledge is being replaced by assumptions based on an abstract and elitist social vision of what ought to be. Knowledge and Decisions, a winner of the 1980 Law and Economics Center Prize, was heralded as a landmark work and selected for this prize "because of its cogent contribution to our understanding of the differences between the market process and the process of government." In announcing the award, the center acclaimed that the "contribution to our understanding of the process of regulation alone would make the book important, but in reemphasizing the diversity and efficiency that the market makes possible, [this] work goes deeper and becomes even more significant."

    Mandelbrot, one of the century's most influential mathematicians, is world-famous for making mathematical sense of a fact everybody knows but that geometers from Euclid on down had never assimilated: Clouds are not round, mountains are not cones, coastlines are not smooth. To these classic lines we can now add another example: Markets are not the safe bet your broker may claim. In his first book for a general audience, Mandelbrot, with co-author Richard L. Hudson, shows how the dominant way of thinking about the behavior of markets-a set of mathematical assumptions a century old and still learned by every MBA and financier in the world-simply does not work. As he did for the physical world in his classic The Fractal Geometry of Nature, Mandelbrot here uses fractal geometry to propose a new, more accurate way of describing market behavior. The complex gyrations of IBM's stock price and the dollar-euro exchange rate can now be reduced to straightforward formulae that yield a far better model of how risky they are. With his fractal tools, Mandelbrot has gotten to the bottom of how financial markets really work, and in doing so, he describes the volatile, dangerous (and strangely beautiful) properties that financial experts have never before accounted for. The result is no less than the foundation for a new science of finance.

    But what is time, exactly? Do children experience it the same way adults do? Why does it seem to slow down when we’re bored and speed by as we get older? How and why does time fly?In this witty and meditative exploration, award-winning author and New Yorker staff writer Alan Burdick takes readers on a personal quest to understand how time gets in us and why we perceive it the way we do. In the company of scientists, he visits the most accurate clock in the world (which exists only on paper); discovers that “now” actually happened a split-second ago; finds a twenty-fifth hour in the day; lives in the Arctic to lose all sense of time; and, for one fleeting moment in a neuroscientist’s lab, even makes time go backward. Why Time Flies is an instant classic, a vivid and intimate examination of the clocks that tick inside us all.

    Just about everyone thinks they know how they got there. Just about everyone is wrong. For all that's been written about the Four over the last two decades, no one has captured their power and staggering success as insightfully as Scott Galloway.Instead of buying the myths these compa-nies broadcast, Galloway asks fundamental questions. How did the Four infiltrate our lives so completely that they're almost impossible to avoid (or boycott)? Why does the stock market forgive them for sins that would destroy other firms? And as they race to become the world's first trillion-dollar company, can anyone chal-lenge them?In the same irreverent style that has made him one of the world's most celebrated business professors, Galloway deconstructs the strategies of the Four that lurk beneath their shiny veneers. He shows how they manipulate the fundamental emotional needs that have driven us since our ancestors lived in caves, at a speed and scope others can't match. And he reveals how you can apply the lessons of their ascent to your own business or career.Whether you want to compete with them, do business with them, or simply live in the world they dominate, you need to understand the Four.

    While this has had the positive effect of equalizing access to knowledge, it also has lowered the bar on what depth of knowledge is required to consider oneself an "expert." A cult of anti-expertise sentiment has coincided with anti-intellectualism, resulting in massively viral yet poorly informed debates ranging from the anti-vaccination movement to attacks on GMOs. This surge in intellectual egalitarianism has altered the landscape of debates-all voices are equal, and "fact" is a subjective term. Browsing WebMD puts one on equal footing with doctors, and Wikipedia allows all to be foreign policy experts, scientists, and more. As Tom Nichols shows in The Death of Expertise, there are a number of reasons why this has occurred-ranging from easy access to Internet search engines to a customer satisfaction model within higher education. The product of these interrelated trends, Nichols argues, is a pervasive distrust of expertise among the public coinciding with an unfounded belief among non-experts that their opinions should have equal standing with those of the experts. The experts are not always right, of course, and Nichols discusses expert failure. The crucial point is that bad decisions by experts can and have been effectively challenged by other well-informed experts. The issue now is that the democratization of information dissemination has created an army of ill-informed citizens who denounce expertise.When challenged, non-experts resort to the false argument that the experts are often wrong. Though it may be true, but the solution is not to jettison expertise as an ideal; it is to improve our expertise. Nichols is certainly not opposed to information democratization, but rather the enlightenment people believe they achieve after superficial internet research. He shows in vivid detail the ways in which this impulse is coursing through our culture and body politic, but the larger goal is to explain the benefits that expertise and rigorous learning regimes bestow upon all societies.

    “I walk with a new spring in my step and I look at life through physics-colored eyes,” wrote one such fan. When Lewin’s lectures were made available online, he became an instant YouTube celebrity, and The New York Times declared, “Walter Lewin delivers his lectures with the panache of Julia Child bringing French cooking to amateurs and the zany theatricality of YouTube’s greatest hits.” For more than thirty years as a beloved professor at the Massachusetts Institute of Technology, Lewin honed his singular craft of making physics not only accessible but truly fun, whether putting his head in the path of a wrecking ball, supercharging himself with three hundred thousand volts of electricity, or demonstrating why the sky is blue and why clouds are white. Now, as Carl Sagan did for astronomy and Brian Green did for cosmology, Lewin takes readers on a marvelous journey in For the Love of Physics, opening our eyes as never before to the amazing beauty and power with which physics can reveal the hidden workings of the world all around us. “I introduce people to their own world,” writes Lewin, “the world they live in and are familiar with but don’t approach like a physicist—yet.” Could it be true that we are shorter standing up than lying down? Why can we snorkel no deeper than about one foot below the surface? Why are the colors of a rainbow always in the same order, and would it be possible to put our hand out and touch one? Whether introducing why the air smells so fresh after a lightning storm, why we briefly lose (and gain) weight when we ride in an elevator, or what the big bang would have sounded like had anyone existed to hear it, Lewin never ceases to surprise and delight with the extraordinary ability of physics to answer even the most elusive questions. Recounting his own exciting discoveries as a pioneer in the field of X-ray astronomy—arriving at MIT right at the start of an astonishing revolution in astronomy—he also brings to life the power of physics to reach into the vastness of space and unveil exotic uncharted territories, from the marvels of a supernova explosion in the Large Magellanic Cloud to the unseeable depths of black holes. “For me,” Lewin writes, “physics is a way of seeing—the spectacular and the mundane, the immense and the minute—as a beautiful, thrillingly interwoven whole.” His wonderfully inventive and vivid ways of introducing us to the revelations of physics impart to us a new appreciation of the remarkable beauty and intricate harmonies of the forces that govern our lives.

    Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria. Worse, these "too good to not be true" theories are actually untestable and they have left the field in a cul-de-sac. To escape, physicists must rethink their methods. Only by embracing reality as it is can science discover the truth.

    The new nanny gives a mother an uneasy feeling. A stranger in a deserted parking lot offers unsolicited help. The threat of violence surrounds us every day. But we can protect ourselves, by learning to trust—and act on—our gut instincts.In this empowering book, Gavin de Becker, the man Oprah Winfrey calls the nation's leading expert on violent behavior, shows you how to spot even subtle signs of danger—before it's too late. Shattering the myth that most violent acts are unpredictable, de Becker, whose clients include top Hollywood stars and government agencies, offers specific ways to protect yourself and those you love, including how to act when approached by a stranger, when you should fear someone close to you, what to do if you are being stalked, how to uncover the source of anonymous threats or phone calls, the biggest mistake you can make with a threatening person, and more. Learn to spot the danger signals others miss. It might just save your life.