The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. To help students construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. Previous Edition Hb (1994) 0-521-44116-1 Previous Edition Pb (1994) 0-521-44663-5

    It is also a book they may want to keep out of view of their professors, for it expresses in clear and simple language things that tend to be murky and abstruse in the classroom. These 101 concise lessons in design, drawing, the creative process, and presentation--from the basics of "How to Draw a Line" to the complexities of color theory--provide a much-needed primer in architectural literacy, making concrete what too often is left nebulous or open-ended in the architecture curriculum. Each lesson utilizes a two-page format, with a brief explanation and an illustration that can range from diagrammatic to whimsical. The lesson on "How to Draw a Line" is illustrated by examples of good and bad lines; a lesson on the dangers of awkward floor level changes shows the television actor Dick Van Dyke in the midst of a pratfall; a discussion of the proportional differences between traditional and modern buildings features a drawing of a building split neatly in half between the two. Written by an architect and instructor who remembers well the fog of his own student days, 101 Things I Learned in Architecture School provides valuable guideposts for navigating the design studio and other classes in the architecture curriculum. Architecture graduates--from young designers to experienced practitioners--will turn to the book as well, for inspiration and a guide back to basics when solving a complex design problem.

    His apothegm "Cogito, ergo sum" marked the birth of the mind-body problem, while his creation of so-called Cartesian coordinates have made our physical and intellectual conquest of physical space possible.But Descartes had a mysterious and mystical side, as well. Almost certainly a member of the occult brotherhood of the Rosicrucians, he kept a secret notebook, now lost, most of which was written in code. After Descartes's death, Gottfried Leibniz, inventor of calculus and one of the greatest mathematicians in history, moved to Paris in search of this notebook--and eventually found it in the possession of Claude Clerselier, a friend of Descartes. Leibniz called on Clerselier and was allowed to copy only a couple of pages--which, though written in code, he amazingly deciphered there on the spot. Leibniz's hastily scribbled notes are all we have today of Descartes's notebook, which has disappeared.Why did Descartes keep a secret notebook, and what were its contents? The answers to these questions lead Amir Aczel and the reader on an exciting, swashbuckling journey, and offer a fascinating look at one of the great figures of Western culture.

    Bueno de Mesquita uses game theory and its insights into human behavior to predict and even engineer political, financial, and personal events. His forecasts, which have been employed by everyone from the CIA to major business firms, have an amazing 90 percent accuracy rate, and in this dazzling and revelatory book he shares his startling methods and lets you play along in a range of high-stakes negotiations and conflicts.Revealing the origins of game theory and the advances made by John Nash, the Nobel Prize—winning scientist perhaps best known from A Beautiful Mind, Bueno de Mesquita details the controversial and cold-eyed system of calculation that he has since created, one that allows individuals to think strategically about what their opponents want, how much they want it, and how they might react to every move. From there, Bueno de Mesquita games such events as the North Korean disarmament talks and the Middle East peace process and recalls, among other cases, how he correctly predicted which corporate clients of the Arthur Andersen accounting firm were most likely engaged in fraudulent activity (hint: one of them started with an E). And looking as ever to the future, Bueno de Mesquita also demonstrates how game theory can provide successful strategies to combat both global warming (instead of relying on empty regulations, make nations compete in technology) and terror (figure out exactly how much U.S. aid will make Pakistan fight the Taliban).But as Bueno de Mesquita shows, game theory isn’t just for saving the world. It can help you in your own life, whether you want to succeed in a lawsuit (lawyers argue too much the merits of the case and question too little the motives of their opponents), elect the CEO of your company (change the system of voting on your board to be more advantageous to your candidate), or even buy a car (start by knowing exactly what you want, call every dealer in a fifty-mile radius, and negotiate only over the phone).Savvy, provocative, and shockingly effective, The Predictioneer’s Game will change how you understand the world and manage your future. Life’s a game, and how you play is whether you win or lose.

    We have Mindstorms to thank for that. In this book, pioneering computer scientist Seymour Papert uses the invention of LOGO, the first child-friendly programming language, to make the case for the value of teaching children with computers. Papert argues that children are more than capable of mastering computers, and that teaching computational processes like de-bugging in the classroom can change the way we learn everything else. He also shows that schools saturated with technology can actually improve socialization and interaction among students and between students and teachers.

    The computer programmer, the doctor, the artist, and even the parent and citizen all engage in a craftsman’s work. In this thought-provoking book, Sennett explores the work of craftsmen past and present, identifies deep connections between material consciousness and ethical values, and challenges received ideas about what constitutes good work in today’s world. The Craftsman engages the many dimensions of skill—from the technical demands to the obsessive energy required to do good work. Craftsmanship leads Sennett across time and space, from ancient Roman brickmakers to Renaissance goldsmiths to the printing presses of Enlightenment Paris and the factories of industrial London; in the modern world he explores what experiences of good work are shared by computer programmers, nurses and doctors, musicians, glassblowers, and cooks. Unique in the scope of his thinking, Sennett expands previous notions of crafts and craftsmen and apprises us of the surprising extent to which we can learn about ourselves through the labor of making physical things.

    Out of Control chronicles the dawn of a new era in which the machines and systems that drive our economy are so complex and autonomous as to be indistinguishable from living things.

    Refugee waves. An unfixable global economy. Surprising election results. New billion-dollar fortunes. Miracle medical advances. What if they were all connected? What if you could understand why? The Seventh Sense is the story of what all of today's successful figures see and feel: the forces that are invisible to most of us but explain everything from explosive technological change to uneasy political ripples. The secret to power now is understanding our new age of networks. Not merely the Internet, but also webs of trade, finance, and even DNA. Based on his years of advising generals, CEOs, and politicians, Ramo takes us into the opaque heart of our world's rapidly connected systems and teaches us what the losers are not yet seeing -- and what the victors of this age already know.

    The coming wave, says Rheingold, is the result of super-efficient mobile communications-cellular phones, personal digital assistants, and wireless-paging and Internet-access devices that will allow us to connect with anyone, anywhere, anytime. From the amusing ("Lovegetty" devices in Japan that light up when a person with the right date-potential characteristics appears in the vicinity) to the extraordinary (the overthrow of a repressive regime in the Philippines by political activists who mobilized by forwarding text messages via cell phones), Rheingold gives examples of the fundamentally new ways in which people are already engaging in group or collective action. He also considers the dark side of this phenomenon, such as the coordination of terrorist cells, threats to privacy, and the ability to incite violent behavior. Applying insights from sociology, artificial intelligence, engineering, and anthropology, Rheingold offers a penetrating perspective on the brave new convergence of pop culture, cutting-edge technology, and social activism. At the same time, he reminds us that, as with other technological revolutions, the real impact of mobile communications will come not from the technology itself but from how people use it, resist it, adapt to it, and ultimately use it to transform themselves, their communities, and their institutions.

    But the dot, though perfect in every way, only had eyes for a wild and unkempt squiggle. All of the line's romantic dreams were in vain, until he discovered...angles! Now, with newfound self-expression, he can be anything he wants to be--a square, a triangle, a parallelogram....And that's just the beginning!First published in 1963 and made into an Academy Award-winning animated short film, here is a supremely witty love story with a twist that reveals profound truths about relationships--both human and mathematical--sure to tickle lovers of all ages.

    Conceived as a handbook and teaching aid for artists, instructors, and students, this timeless book presents Albers’s unique ideas of color experimentation in a way that is valuable to specialists as well as to a larger audience.Originally published by Yale University Press in 1963 as a limited silkscreen edition with 150 color plates, Interaction of Color first appeared in paperback in 1971, featuring ten representative color studies chosen by Albers. The paperback has remained in print ever since and is one of the most influential resources on color for countless readers.This new paperback edition presents a significantly expanded selection of more than thirty color studies alongside Albers’s original unabridged text, demonstrating such principles as color relativity, intensity, and temperature; vibrating and vanishing boundaries; and the illusions of transparency and reversed grounds. Now available in a larger format and with enhanced production values, this expanded edition celebrates the unique authority of Albers’s contribution to color theory and brings the artist’s iconic study to an eager new generation of readers.

    Wells to the press releases of NASA, we are awash in clich�d claims about high technology's ability to change the course of history. Now, in The Shock of the Old, David Edgerton offers a startling new and fresh way of thinking about the history of technology, radically revising our ideas about the interaction of technology and society in the past and in the present. He challenges us to view the history of technology in terms of what everyday people have actually used-and continue to use-rather than just sophisticated inventions. Indeed, many highly touted technologies, from the V-2 rocket to the Concorde jet, have been costly failures, while many mundane discoveries, like corrugated iron, become hugely important around the world. Edgerton reassesses the significance of such acclaimed inventions as the Pill and information technology, and underscores the continued importance of unheralded technology, debunking many notions about the implications of the information age. A provocative history, The Shock of the Old provides an entirely new way of looking historically at the relationship between invention and innovation.

    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.

    It describes how the laws and discoveries of information theory now support controversial revisions to Darwinian evolution, begin to unravel the mysteries of language, memory and dreams, and stimulate provocative ideas in psychology, philosophy, art, music, computers and even the structure of society. Perhaps its most fascinating and unexpected surprise is the suggestion the order and complexity may be as natural as disorder and disorganization. Contrary to the entropy principle, which implies that order is the exception and confusion the rule, information theory asserts that order and sense can indeed prevail against disorder and nonsense. From the simplest forms of organic life to the words used to express our most complex ideas, from our genes to our dreams, from microcomputers to telecommunications, virtually everything around us follows simple rules of information. Life and the material world, like language, remain "grammatical." Grammatical man inhabits a grammatical universe.

    Why do living things and physical phenomena take the forms they do? Analyzing the mathematical and physical aspects of biological processes, this historic work, first published in 1917, has become renowned as well for the poetry of is descriptions.