And this language is mathematics." In The Language of Mathematics, award-winning author Keith Devlin reveals the vital role mathematics plays in our eternal quest to understand who we are and the world we live in. More than just the study of numbers, mathematics provides us with the eyes to recognize and describe the hidden patterns of life—patterns that exist in the physical, biological, and social worlds without, and the realm of ideas and thoughts within.Taking the reader on a wondrous journey through the invisible universe that surrounds us—a universe made visible by mathematics—Devlin shows us what keeps a jumbo jet in the air, explains how we can see and hear a football game on TV, allows us to predict the weather, the behavior of the stock market, and the outcome of elections. Microwave ovens, telephone cables, children's toys, pacemakers, automobiles, and computers—all operate on mathematical principles. Far from a dry and esoteric subject, mathematics is a rich and living part of our culture. An exploration of an often woefully misunderstood subject, The Language of Mathematics celebrates the simplicity, the precision, the purity, and the elegance of mathematics.

    to A.D. 1600. The lectures begin by asking just what "Western civilization" actually is, or what it has been thought to be. Throughout the lectures, there are reflections on where Western civilization finds its primary locus at any given moment - beginning in the ancient Near East and moving to Greece, then to Rome; exploring the shape and impact of large ancient empires, including the Persian, Alexander the Great's, and Rome's; then moving on to Western Europe, and witnessing Europe's gradual physical and cultural expansion, into finally the globalization of Western civilization with the Portuguese and Spanish voyages of exploration and discovery.

    This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own thought processes.Yanofsky describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve; perfectly formed English sentences that make no sense; different levels of infinity; the bizarre world of the quantum; the relevance of relativity theory; the causes of chaos theory; math problems that cannot be solved by normal means; and statements that are true but cannot be proven. He explains the limitations of our intuitions about the world -- our ideas about space, time, and motion, and the complex relationship between the knower and the known.Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there.

    Gilder says or writes is ever delivered at anything less than the fullest philosophical decibel... Mr. Gilder sounds less like a tech guru than a poet, and his words tumble out in a romantic cascade." “Google’s algorithms assume the world’s future is nothing more than the next moment in a random process. George Gilder shows how deep this assumption goes, what motivates people to make it, and why it’s wrong: the future depends on human action.” — Peter Thiel, founder of PayPal and Palantir Technologies and author of Zero to One: Notes on Startups, or How to Build the Future The Age of Google, built on big data and machine intelligence, has been an awesome era. But it’s coming to an end. In Life after Google, George Gilder—the peerless visionary of technology and culture—explains why Silicon Valley is suffering a nervous breakdown and what to expect as the post-Google age dawns. Google’s astonishing ability to “search and sort” attracts the entire world to its search engine and countless other goodies—videos, maps, email, calendars….And everything it offers is free, or so it seems. Instead of paying directly, users submit to advertising. The system of “aggregate and advertise” works—for a while—if you control an empire of data centers, but a market without prices strangles entrepreneurship and turns the Internet into a wasteland of ads. The crisis is not just economic. Even as advances in artificial intelligence induce delusions of omnipotence and transcendence, Silicon Valley has pretty much given up on security. The Internet firewalls supposedly protecting all those passwords and personal information have proved hopelessly permeable. The crisis cannot be solved within the current computer and network architecture. The future lies with the “cryptocosm”—the new architecture of the blockchain and its derivatives. Enabling cryptocurrencies such as bitcoin and ether, NEO and Hashgraph, it will provide the Internet a secure global payments system, ending the aggregate-and-advertise Age of Google. Silicon Valley, long dominated by a few giants, faces a “great unbundling,” which will disperse computer power and commerce and transform the economy and the Internet. Life after Google is almost here.   For fans of "Wealth and Poverty," "Knowledge and Power," and "The Scandal of Money."

    As much as we'd like to cultivate these same skills, the truth is that you cannot know how a lawyer thinks and works without studying the law itself.Now there's an easier way to get the same foundational knowledge as lawyers - without the enormous time and financial commitment. Over the span of 48 lectures, four experienced lawyers and teachers recreate key parts of the first-year law student experience, introducing you to main areas of law most every beginning student studies.You'll start with 12 lectures on litigation and legal practice that offer eye-opening answers to many questions about the art and craft of legislation. In the second 12 lectures, you'll learn how criminal law and procedure - an area of law dramatized by countless TV shows - really works. Additional lectures investigate the civic procedures courts follow to resolve disputes about substantive rights and examine broader questions any system of litigation must address. And 12 lectures are devoted entirely to the stranger-than-fiction topic of tort law.Enriched with famous cases from the annals of American law and powerful arguments by some of history's most successful lawyers, these lectures offer access to an often intimidating, surprisingly accessible, and civically important field.

    A world that is as creative and complex as it is dangerous and disturbing. A world that is much closer than you think.The dark net is an underworld that stretches from popular social media sites to the most secretive corners of the encrypted web. It is a world that frequently appears in newspaper headlines, but one that is little understood, and rarely explored. The Dark Net is a revelatory examination of the internet today, and of its most innovative and dangerous subcultures: trolls and pornographers, drug dealers and hackers, political extremists and computer scientists, Bitcoin programmers and self-harmers, libertarians and vigilantes.Based on extensive first-hand experience, exclusive interviews and shocking documentary evidence, The Dark Net offers a startling glimpse of human nature under the conditions of freedom and anonymity, and shines a light on an enigmatic and ever-changing world.

    The general said it was. This set in motion the first presidential directive on computer security.The first use of cyber techniques in battle occurred in George H.W. Bush's Kuwait invasion in 1991 to disable Saddam's military communications. One year later, the NSA Director watched Sneakers, in which one of the characters says wars will soon be decided not by bullets or bombs but by information. The NSA and the Pentagon have been rowing over control of cyber weapons ever since.From the 1994 (aborted) US invasion of Haiti, when the plan was to neutralize Haitian air-defenses by making all the telephones in Haiti busy at the same time, to Obama's Defense Department 2015 report on cyber policy that spells out the lead role played by our offensive operation, Fred Kaplan tells the story of the NSA and the Pentagon as they explore, exploit, fight, and defend the US. Dark Territory reveals all the details, including the 1998 incident when someone hacked into major US military commands and it wasn't Iraq, but two teenagers from California; how Israeli jets bomb a nuclear reactor in Syria in 2007 by hacking into Syrian air-defense radar system; the time in 2014 when North Korea hacks Sony's networks to pressure the studio to cancel a major Hollywood blockbuster; and many more. Dark Territory is the most urgent and controversial topic in national defense policy.

    . . 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

    Though he never left Italy, his inventions and discoveries were heralded around the world. Most sensationally, his telescopes allowed him to reveal a new reality in the heavens and to reinforce the astounding argument that the Earth moves around the Sun. For this belief, he was brought before the Holy Office of the Inquisition, accused of heresy, and forced to spend his last years under house arrest. Of Galileo's three illegitimate children, the eldest best mirrored his own brilliance, industry, and sensibility, and by virtue of these qualities became his confidante. Born Virginia in 1600, she was thirteen when Galileo placed her in a convent near him in Florence, where she took the most appropriate name of Suor Maria Celeste. Her loving support, which Galileo repaid in kind, proved to be her father's greatest source of strength throughout his most productive and tumultuous years. Her presence, through letters which Sobel has translated from their original Italian and masterfully woven into the narrative, graces her father's life now as it did then. Galileo's Daughter dramatically recolors the personality and accomplishment of a mythic figure whose seventeenth-century clash with Catholic doctrine continues to define the schism between science and religion. Moving between Galileo's grand public life and Maria Celeste's sequestered world, Sobel illuminates the Florence of the Medicis and the papal court in Rome during the pivotal era when humanity's perception of its place in the cosmos was being overturned. In that same time, while the bubonic plague wreaked its terrible devastation and the Thirty Years' War tipped fortunes across Europe, one man sought to reconcile the Heaven he revered as a good Catholic with the heavens he revealed through his telescope. With all the human drama and scientific adventure that distinguished Longitude, Galileo's Daughter is an unforgettable story.

    Armed with surprising data and endlessly fascinating examples, Adam Alter addresses the subtle but substantial ways in which outside forces influence us--such as color’s influence on mood, our bias in favor of names with which we identify, and how sunny days can induce optimism as well as aggression. Drunk Tank Pink proves that the truth behind our feelings and actions goes much deeper than the choices we take for granted every day.

    This is a ride on the Google wave, and the fullest account of how it formed and crashed into traditional media businesses. With unprecedented access to Google's founders and executives, as well as to those in media who are struggling to keep their heads above water, Ken Auletta reveals how the industry is being disrupted and redefined.Auletta goes inside Google's closed-door meetings, introducing Google's notoriously private founders, Larry Page and Sergey Brin, as well as those who work with - and against - them. In Googled, the reader discovers the 'secret sauce' of the company's success and why the worlds of 'new' and 'old' media often communicate as if residents of different planets. It may send chills down traditionalists' spines, but it's a crucial roadmap to the future of media business: the Google story may well be the canary in the coal mine.Googled is candid, objective and authoritative. Crucially, it's not just a history or reportage: it's ahead of the curve and unlike any other Google books, which tend to have been near-histories, somewhat starstruck, now out of date or which fail to look at the full synthesis of business and technology.

    Darrell Huff runs the gamut of every popularly used type of statistic, probes such things as the sample study, the tabulation method, the interview technique, or the way the results are derived from the figures, and points up the countless number of dodges which are used to fool rather than to inform.

    The answer: with the essentials. Now, finally satisfy your desire for scientific inquiry in a way that makes this enormous field accessible, understandable, and undeniably captivating. Professor Viskontas boils down the scientific world into 12 key concepts every educated person should know. Devoting two lectures to each concept to give you more time to engage with it, her 24-lecture series is an engaging and enlightening introduction to everything from the behavior of subatomic particles to the latest theories about the Big Bang. Throughout, you'll get accessible looks at key building blocks of scientific knowledge, including brain plasticity, fluid mechanics, electromagnetism, genetics, quantum theory, emergence, evolution, thermodynamics, the Big Bang, and the nature of matter. Each concept is presented in a clear, concise way that will inform and delight you, and that will give you the opportunity to probe the invisible life of living cells, visit the universe seconds after its birth, and much more. Concepts that may have eluded you in school, that you may not be familiar with, or that you simply never appreciated for their intricate beauty are now brought to vivid life in a way that sticks. Welcome to the world of science - reduced to its powerful essence.

    There really are no ultimate authority figures-no one has the secret and there is no place to look up the definitive answers to our questions (not even Google). But, by thinking skeptically and logically, we can combat sloppy reasoning, bad arguments and superstitious thinking. It's difficult, and takes a lot of vigilance, but it's worth the effort.In this tie-in to their incredibly popular "The Skeptics Guide to the Universe" podcast, Steven Novella, MD along with "Skeptical Rogues" Bob Novella, Cara Santa Maria, Jay Novella, and Evan Bernstein will explain the tenets of skeptical thinking and debunk some of the biggest scientific myths, fallacies and conspiracy theories (Anti-vaccines, homeopathy, UFO sightings, etc.) They'll help us try to make sense of what seems like an increasingly crazy world using powerful tools like science and philosophy. THE SKEPTICS' GUIDE TO THE UNIVERSE is your guide through this maze of modern life. It covers essential critical thinking skills, as well as giving insight into how your brain works and how to avoid common pitfalls in thinking. They discuss the difference between science and pseudoscience, how to recognize common science news tropes, how to discuss conspiracy theories with that crazy coworker of yours, and how to apply all of this to everyday life.So, are you ready to join them on an epic scientific quest, one that has taken us from huddling in dark caves to stepping foot on the Moon? (Yes, we really did that.) Like all adventures, this one is foremost a journey of self discovery. The monsters you will slay and challenges you will face are mostly constructs of your own mind. With the SKEPTIC'S GUIDE TO THE UNIVERSE, we can do this together.

    For all of neuroscience's advances, we've made little progress on its biggest question: How do simple cells in the brain create intelligence? Jeff Hawkins and his team discovered that the brain uses maplike structures to build a model of the world-not just one model, but hundreds of thousands of models of everything we know. This discovery allows Hawkins to answer important questions about how we perceive the world, why we have a sense of self, and the origin of high-level thought.