Einstein said that the most incredible thing about our universe was that it was comprehensible at all. As Kitty Ferguson explains, Pythagoras had much the same idea - but 2,500 years earlier. Though known by many only for his famous Theorem, in fact the pillars of our scientific tradition - belief that the universe is rational, that there is unity to all things, and that numbers and mathematics are a powerful guide to truth about nature and the cosmos - hark back to the convictions of this legendary scholar. Kitty Ferguson brilliantly evokes Pythagoras' ancient world of, showing how ideas spread in antiquity, and chronicles the incredible influence he and his followers have had on so many extraordinary people in the history of Western thought and science. 'Pythagoras' influence on the ideas, and therefore on the destiny, of the human race was probably greater than that of any single man before or after him' - Arthur Koestler.

    As we enter the year 2000, zero is once again making its presence felt. Nothing itself, it makes possible a myriad of calculations. Indeed, without zero mathematicsas we know it would not exist. And without mathematics our understanding of the universe would be vastly impoverished. But where did this nothing, this hollow circle, come from? Who created it? And what, exactly, does it mean? Robert Kaplan's The Nothing That Is: A Natural History of Zero begins as a mystery story, taking us back to Sumerian times, and then to Greece and India, piecing together the way the idea of a symbol for nothing evolved. Kaplan shows us just how handicapped our ancestors were in trying to figurelarge sums without the aid of the zero. (Try multiplying CLXIV by XXIV). Remarkably, even the Greeks, mathematically brilliant as they were, didn't have a zero--or did they? We follow the trail to the East where, a millennium or two ago, Indian mathematicians took another crucial step. By treatingzero for the first time like any other number, instead of a unique symbol, they allowed huge new leaps forward in computation, and also in our understanding of how mathematics itself works. In the Middle Ages, this mathematical knowledge swept across western Europe via Arab traders. At first it was called dangerous Saracen magic and considered the Devil's work, but it wasn't long before merchants and bankers saw how handy this magic was, and used it to develop tools likedouble-entry bookkeeping. Zero quickly became an essential part of increasingly sophisticated equations, and with the invention of calculus, one could say it was a linchpin of the scientific revolution. And now even deeper layers of this thing that is nothing are coming to light: our computers speakonly in zeros and ones, and modern mathematics shows that zero alone can be made to generate everything.Robert Kaplan serves up all this history with immense zest and humor; his writing is full of anecdotes and asides, and quotations from Shakespeare to Wallace Stevens extend the book's context far beyond the scope of scientific specialists. For Kaplan, the history of zero is a lens for looking notonly into the evolution of mathematics but into very nature of human thought. He points out how the history of mathematics is a process of recursive abstraction: how once a symbol is created to represent an idea, that symbol itself gives rise to new operations that in turn lead to new ideas. Thebeauty of mathematics is that even though we invent it, we seem to be discovering something that already exists.The joy of that discovery shines from Kaplan's pages, as he ranges from Archimedes to Einstein, making fascinating connections between mathematical insights from every age and culture. A tour de force of science history, The Nothing That Is takes us through the hollow circle that leads to infinity.

    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.

    A simple web search picks out a handful of relevant needles from the world's biggest haystack: the billions of pages on the World Wide Web. Uploading a photo to Facebook transmits millions of pieces of information over numerous error-prone network links, yet somehow a perfect copy of the photo arrives intact. Without even knowing it, we use public-key cryptography to transmit secret information like credit card numbers; and we use digital signatures to verify the identity of the websites we visit. How do our computers perform these tasks with such ease? This is the first book to answer that question in language anyone can understand, revealing the extraordinary ideas that power our PCs, laptops, and smartphones. Using vivid examples, John MacCormick explains the fundamental "tricks" behind nine types of computer algorithms, including artificial intelligence (where we learn about the "nearest neighbor trick" and "twenty questions trick"), Google's famous PageRank algorithm (which uses the "random surfer trick"), data compression, error correction, and much more. These revolutionary algorithms have changed our world: this book unlocks their secrets, and lays bare the incredible ideas that our computers use every day.

    Collected here for the first time, Sacco's darkly funny, revealing reportage confirms his standing as one of the foremost war correspondents working today.In "The Unwanted," Sacco chronicles the detention of Saharan refugees who have washed up on the shores of Malta; "Chechen War, Chechen Women" documents the trial without end of widows in the Caucasus; and "Kushinagar" goes deep into the lives of India's untouchables, who are hanging "onto the planet by their fingernails." Other pieces take Sacco to the smuggling tunnels of Gaza; the trial of Milan Kovacevic, Bosnian warlord, in The Hague; and the darkest chapter in recent American history, Abu Ghraib. And on a mission with American troops—pieces never published in the United States—he confronts the misery and absurdity of the war in Iraq.Among Sacco's most mature, accomplished work, Journalism demonstrates the power of our premier cartoonist to chronicle human experience with a force that often eludes other media.

    Practical Algebra is an easy andfun-to-use workout program that quickly puts you in command of allthe basic concepts and tools of algebra. With the aid of practical, real-life examples and applications, you'll learn: * The basic approach and application of algebra to problemsolving * The number system (in a much broader way than you have known itfrom arithmetic) * Monomials and polynomials; factoring algebraic expressions; howto handle algebraic fractions; exponents, roots, and radicals;linear and fractional equations * Functions and graphs; quadratic equations; inequalities; ratio, proportion, and variation; how to solve word problems, andmore Authors Peter Selby and Steve Slavin emphasize practical algebrathroughout by providing you with techniques for solving problems ina wide range of disciplines--from engineering, biology, chemistry, and the physical sciences, to psychology and even sociology andbusiness administration. Step by step, Practical Algebra shows youhow to solve algebraic problems in each of these areas, then allowsyou to tackle similar problems on your own, at your own pace.Self-tests are provided at the end of each chapter so you canmeasure your mastery.

    It took the open source world by storm since its inception in 2005, and is used by small development shops and giants like Google, Red Hat, and IBM, and of course many open source projects.A book by Git experts to turn you into a Git expert. Introduces the world of distributed version control Shows how to build a Git development workflow.

    His lively storytelling approach incorporates comics, photographs, and diagrams to create substantive but easily accessible reportage. Cunningham's distinctive illustrative style shows how information is manipulated by all sides; his easy-to-follow narratives allow readers to draw their own fact-based conclusions. A graphic milestone of investigative journalism!

    Celebrating the creative side of failure in a way we can all relate to, F in Exams gathers the most hilarious and inventive test answers provided by students who, faced with a question they have no hope of getting right, decide to have a little fun instead. Whether in science (Q: What is the highest frequency noise that a human can register? A: Mariah Carey), the humanities (Q: What did Mahatma Gandhi and Genghis Khan have in common? A: Unusual names), math, or other subjects, these 250 entries prove that while everyone enjoys the spectacle of failure, it's even sweeter to see a FAIL turn into a WIN.

    Deconstructionists, poststructuralists, postmodernists, second-wave feminists, new historicists, cultural materialists, postcolonialists, black critics and queer theorists, among a host of others, all vie for our attention. Stuart Sim and Borin Van Loon's incisive graphic guide provides a route through the tangled jungle of competing ideas and provides an essential historical context, situating these theories within tradition of critical analysis going back to the rise of Marxism. They present the essential methods and objectives of each theoretical school in an incisive and accessible manner, and pay special attention to recurrent themes and concerns that have preoccupied a century of critical theoretical activity.

    Other kids are into punk or ska, but Una is learning to play "Mull of Kintyre" by Wings on the guitar, and she thinks it’s a really good song. There's another song, chanted on the terraces by Leeds United fans. It might not have made it on to Top of the Pops, but the boys all sing it on the walk home from school: "One Yorkshire Ripper . . . There’s only one Yorkshire Ripper . . . One Yorkshire Ri-pper . . ."  A serial murderer is at large in West Yorkshire and the police—despite spending more than two million man-hours hunting the killer and interviewing the man himself no less than nine times—are struggling to solve the case. As this national news story unfolds around her, Una finds herself on the receiving end of a series of violent acts for which she feels she is to blame. Unbecoming explores gender violence, blame, shame, and social responsibility. Through image and text Una asks what it means to grow up in a culture where male violence goes unpunished and unquestioned. With the benefit of hindsight Una explores her experience, wonders if anything has really changed and challenges a global culture that demands that the victims of violence pay its cost.

    Here is stunning evidence that Sid Jacobson and Ernie Colón, with more than sixty years of experience in the comic-book industry between them, were right: far, far too few Americans have read, grasped, and demanded action on the Commission’s investigation into the events of that tragic day and the lessons America must learn.Using every skill and storytelling method Jacobson and Colón have learned over the decades, they have produced the most accessible version of the 9/11 Report. Jacobson’s text frequently follows word for word the original report, faithfully captures its investigative thoroughness, and covers its entire scope, even including the Commission’s final report card. Colón’s stunning artwork powerfully conveys the facts, insights, and urgency of the original. Published on the fifth anniversary of the terrorist attacks on the United States, an event that has left no aspect of American foreign or domestic policy untouched, The 9/11 Report puts at every American’s fingertips the most defining event of the century.

    But what did Wittgenstein really say?

    Brian Greene, one of the world's leading string theorists, peels away the layers of mystery surrounding string theory to reveal a universe that consists of eleven dimensions, where the fabric of space tears and repairs itself, and all matter—from the smallest quarks to the most gargantuan supernovas—is generated by the vibrations of microscopically tiny loops of energy.Today physicists and mathematicians throughout the world are feverishly working on one of the most ambitious theories ever proposed: superstring theory. String theory, as it is often called, is the key to the Unified Field Theory that eluded Einstein for more than thirty years. Finally, the century-old antagonism between the large and the small-General Relativity and Quantum Theory-is resolved. String theory proclaims that all of the wondrous happenings in the universe, from the frantic dancing of subatomic quarks to the majestic swirling of heavenly galaxies, are reflections of one grand physical principle and manifestations of one single entity: microscopically tiny vibrating loops of energy, a billionth of a billionth the size of an atom. In this brilliantly articulated and refreshingly clear book, Greene relates the scientific story and the human struggle behind twentieth-century physics' search for a theory of everything.Through the masterful use of metaphor and analogy, The Elegant Universe makes some of the most sophisticated concepts ever contemplated viscerally accessible and thoroughly entertaining, bringing us closer than ever to understanding how the universe works.

    No less miraculous, the fundamental laws of the universe can be written in the language of advanced mathematics.Searching for these laws, physicists have found themselves developing ambitious mathematical ideas without experiment as their guide. In The Universe Speaks in Numbers, Graham Farmelo demonstrates how today's greatest scientific minds are working in a tradition that dates back to Newton. He takes us on an adventure from the Enlightenment, through the breakthroughs of Einstein and Dirac, to the contemporary physicists and mathematicians who are shedding fascinating light on each other's disciplines. As Farmelo shows, this blossoming relationship between mathematics and physics is responsible for huge, redefining advances in our understanding of reality, space and time. Always lively, vivid and authoritative, Farmelo guides the reader through the most thrilling and controversial developments in contemporary thought. LISTEN TO THE ACCOMPANYING PODCAST featuring interviews with leading scientists at www.grahamfarmelo.com 'A superbly written, riveting book. In elegant prose, and using virtually no equations, Farmelo describes the ongoing quest of great thinkers to understand the bedrock nature of reality' Martin Rees, Astronomer Royal, Emeritus Professor of Cosmology and Astrophysics at the University of Cambridge'I am overcome with admiration for this book's range and profundity ... An amazing achievement' Michael Frayn, award-winning writer of Copenhagen 'Masterful ... a riveting account of one of the greatest stories of our time' Nima Arkani-Hamed, Professor at the Institute of Advanced Study, Princeton