Gödel received public recognition of his work in 1951 when he was awarded the first Albert Einstein Award for achievement in the natural sciences--perhaps the highest award of its kind in the United States. The award committee described his work in mathematical logic as "one of the greatest contributions to the sciences in recent times."However, few mathematicians of the time were equipped to understand the young scholar's complex proof. Ernest Nagel and James Newman provide a readable and accessible explanation to both scholars and non-specialists of the main ideas and broad implications of Gödel's discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject.New York University Press is proud to publish this special edition of one of its bestselling books. With a new introduction by Douglas R. Hofstadter, this book will appeal students, scholars, and professionals in the fields of mathematics, computer science, logic and philosophy, and science.

    With exceptional clarity, Franz n gives careful, non-technical explanations both of what those theorems say and, more importantly, what they do not. No other book aims, as his does, to address in detail the misunderstandings and abuses of the incompleteness theorems that are so rife in popular discussions of their significance. As an antidote to the many spurious appeals to incompleteness in theological, anti-mechanist and post-modernist debates, it is a valuable addition to the literature." --- John W. Dawson, author of "Logical Dilemmas: The Life and Work of Kurt G del

    Taking as territory everything from the Big Bang to the rise of civilization, Bryson seeks to understand how we got from there being nothing at all to there being us. To that end, he has attached himself to a host of the world’s most advanced (and often obsessed) archaeologists, anthropologists, and mathematicians, travelling to their offices, laboratories, and field camps. He has read (or tried to read) their books, pestered them with questions, apprenticed himself to their powerful minds. A Short History of Nearly Everything is the record of this quest, and it is a sometimes profound, sometimes funny, and always supremely clear and entertaining adventure in the realms of human knowledge, as only Bill Bryson can render it. Science has never been more involving or entertaining.

    It explains what algorithms do, how they are used, the risks associated with using them, and why governments should be concerned. Important areas arehighlighted, such as Stream Ciphers, block ciphers, public key algorithms, digital signatures, and applications such as e-commerce. This book highlights the explosive impact of cryptography on modern society, with, for example, the evolution of the internet and the introduction of more sophisticatedbanking methods.

    Negroponte's fans will want to get a copy of Being Digital, which is an edited version of the 18 articles he wrote for Wired about "being digital." Negroponte's text is mostly a history of media technology rather than a set of predictions for future technologies. In the beginning, he describes the evolution of CD-ROMs, multimedia, hypermedia, HDTV (high-definition television), and more. The section on interfaces is informative, offering an up-to-date history on visual interfaces, graphics, virtual reality (VR), holograms, teleconferencing hardware, the mouse and touch-sensitive interfaces, and speech recognition. In the last chapter and the epilogue, Negroponte offers visionary insight on what "being digital" means for our future. Negroponte praises computers for their educational value but recognizes certain dangers of technological advances, such as increased software and data piracy and huge shifts in our job market that will require workers to transfer their skills to the digital medium. Overall, Being Digital provides an informative history of the rise of technology and some interesting predictions for its future.

    Never before have the cultural powers- that-be been able to exert such control over what we can and can't do with the culture around us. Our society defends free markets and free speech; why then does it permit such top-down control? To lose our long tradition of free culture, Lawrence Lessig shows us, is to lose our freedom to create, our freedom to build, and, ultimately, our freedom to imagine.

    Now, in What the Dog Saw, he brings together, for the first time, the best of his writing from The New Yorker over the same period. Here you'll find the bittersweet tale of the inventor of the birth control pill, and the dazzling creations of pasta sauce pioneer Howard Moscowitz. Gladwell sits with Ron Popeil, the king of the American kitchen, as he sells rotisserie ovens, and divines the secrets of Cesar Millan, the "dog whisperer" who can calm savage animals with the touch of his hand. He explores intelligence tests and ethnic profiling and why it was that employers in Silicon Valley once tripped over themselves to hire the same college graduate.

    Terms and phrases such as "the global village" and "the medium is the message" are now part of the lexicon, and McLuhan's theories continue to challenge our sensibilities and our assumptions about how and what we communicate.There has been a notable resurgence of interest in McLuhan's work in the last few years, fueled by the recent and continuing conjunctions between the cable companies and the regional phone companies, the appearance of magazines such as WiRed, and the development of new media models and information ecologies, many of which were spawned from MIT's Media Lab. In effect, media now begs to be redefined. In a new introduction to this edition of Understanding Media, Harper's editor Lewis Lapham reevaluates McLuhan's work in the light of the technological as well as the political and social changes that have occurred in the last part of this century.

    Lewis Dartnell considers some of the fascinating questions facing researchers today. Could life exist anywhere else in the universe? What might aliens really look like? Dartnell explains why Earth is uniquely suited for life and reveals our profound connection to the cosmos.

    Started by two twenty-year-old musicians, Merge is a lesson in how to make and market great music on a human scale. The fact that the company is prospering in a failing industry is something of a miracle. Yet two of their bands made the Billboard Top 10 list; more than 1 million copies of Arcade Fire's Neon Bible have been sold; Spoon has appeared on Saturday Night Live and The Tonight Show; and the Magnetic Fields' 69 Love Songs is a contemporary classic.In celebration of their twentieth anniversary, founders Mac and Laura offer first-person accounts—with the help of their colleagues and Merge artists—of their work, their lives, and the culture of making music. Our Noise also tells the behind-the-scenes stories of Arcade Fire, Spoon, the Magnetic Fields, Superchunk, Lambchop, Neutral Milk Hotel, and Butterglory. Hundreds of personal photos of the bands, along with album cover art, concert posters, and other memorabilia are included.

    For intermediate to advanced pianists, written by one of the acknowledged masters of jazz piano playing.

    Now, in The Unimaginable Mathematics of Borges' Library of Babel, William Goldbloom Bloch takes readers on a fascinating tour of the mathematical ideas hiddenwithin one of the classic works of modern literature.Written in the vein of Douglas R. Hofstadter's Pulitzer Prize-winning G�del, Escher, Bach, this original and imaginative book sheds light on one of Borges' most complex, richly layered works. Bloch begins each chapter with a mathematical idea--combinatorics, topology, geometry, informationtheory--followed by examples and illustrations that put flesh on the theoretical bones. In this way, he provides many fascinating insights into Borges' Library. He explains, for instance, a straightforward way to calculate how many books are in the Library--an easily notated but literallyunimaginable number--and also shows that, if each book were the size of a grain of sand, the entire universe could only hold a fraction of the books in the Library. Indeed, if each book were the size of a proton, our universe would still not be big enough to hold anywhere near all the books.Given Borges' well-known affection for mathematics, this exploration of the story through the eyes of a humanistic mathematician makes a unique and important contribution to the body of Borgesian criticism. Bloch not only illuminates one of the great short stories of modern literature but alsoexposes the reader--including those more inclined to the literary world--to many intriguing and entrancing mathematical ideas.

    and frequently does.Here is the complete film book of the new high-water mark in family fantasy entertainment. The story of young Helena, daughter of the circus, comes vividly alive as we accompany her on her remarkable mission to a place far beyond wonder; a phantasmagorical quest to rescue a realm from the devouring forces of chaos and shadow in order to win back her stolen "real" life from a runaway interloper from the other side.Containing the full screenplay and more than 1,700 illustrated storyboards of the major motion picture -- as well as movie stills, comments, appreciations, and memories from the authors and filmmakers -- this one-of-a-kind volume is destined to become a classic, a keepsake to be cherished by fans of all ages.For all who believe in the glorious reality of dreams, for everyone who longs to ride their imagination to miraculous places, the door is now open wide. See the world anew through the MirrorMask ... and nothing will ever look the same again.

    But its myriad occurrences in art, nature, and science have been a source of speculation and wonder for thousands of years. Divine Proportion draws upon both religion and science to tell the story of Phi and to explore its manifestations in such diverse places as the structure of the inner ear, the spiral of a hurricane, the majesty of the Parthenon, and the elusive perfection of the Mona Lisa. A universal key to harmony, regeneration, and balance, Phi is at the heart of a tantalizing story begun on clay tablets in ancient Babylon, and which will continue to be written for centuries to come.

    Following on the success of Quadrivium and Sciencia, Trivium gathers six Wooden Books titles together into a beautiful six-color package that presents ancient wisdom in an accessible way. Trivium includes the books Euphonics, Grammar, Logic, Rhetoric,, Poetic Meter and Form, and Ethics.