He revolutionized the field of topology, which studies properties of geometric configurations that are unchanged by stretching or twisting. The Poincare conjecture lies at the heart of modern geometry and topology, and even pertains to the possible shape of the universe. The conjecture states that there is only one shape possible for a finite universe in which every loop can be contracted to a single point.Poincare's conjecture is one of the seven "millennium problems" that bring a one-million-dollar award for a solution. Grigory Perelman, a Russian mathematician, has offered a proof that is likely to win the Fields Medal, the mathematical equivalent of a Nobel prize, in August 2006. He also will almost certainly share a Clay Institute millennium award.In telling the vibrant story of The Poincare Conjecture, Donal O'Shea makes accessible to general readers for the first time the meaning of the conjecture, and brings alive the field of mathematics and the achievements of generations of mathematicians whose work have led to Perelman's proof of this famous conjecture.

    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.

    After months of exclusive conversations, years of extensive research, and in-depth interviews with Onassis's friends, lovers and rivals, Evans produced the only true, full account of the charismatic and ruthless Aristotle Onassis. To be a major ABC miniseries in February. 32 pages of photos.

    

    

    Kylie and Jason became the celebrity couple of the 1980s and released the number one hit Especially For You in 1988. But behind the squeaky-clean pop star image was a man increasingly addicted to recreational drugs and on a spiraling downwards path until love pulled him through. His pop career launched, Jason went on to sell  more than 30 million records worldwide and appeared in West End musicals such as Joseph and His Technicolor Dreamcoat and, more recently, The Rocky Horror Show. But just as Jason reached the pinnacle of his career, everything collapsed around him. When Jason sued style magazine The Face for calling him gay, the press tore him apart. Years of binge drug taking, and partying to excess followed. In his frank and honest account of his life, Jason talks candidly about the drugs that nearly saw the end of his career, about his relationship with the princess of pop, Kylie Minogue, and how he finally got his own very happy ending with the woman who saved him, his partner Angela, and their two children.

    The British games industry would go on to create such hits as Tomb Raider and Grand Theft Auto, our innovation and imagination the envy of the world, our programmers the most sought after talent in the fastest growing entertainment medium in history.And it all started here.Welcome to the Speccy Nation.Join veteran games journalist and author Dan Whitehead on a journey through fifty games that helped to define the golden age of British gaming. From the timeless classics to unlikely cult favourites, and even the games so eccentric they could only have come from Britain in the 1980s.Part nostalgic look at the past, and part critical eye on the present and future, Speccy Nation is essential reading for all retro gaming enthusiasts.Includes a foreword by Your Sinclair's Phil "Snouty" South.

    It doesn’t need to be a balancing act between losing fitness and getting injured overtraining. Climbing is fundamentally a skill-based sport, and this guide will change the way you look at moving on rock.Whatever your ability, learning to master smooth, relaxed and powerful movement means maximising your enjoyment and performance of the sport. This is the definitive practical guide to improving your rock climbing technique, and making you a more efficient climber. Fully illustrated with over 35 skills exercises supported by online videos, this book allows you to plan out your path to excellent technique with drills and exercises suited to all levels of ability.Written by the UK's leading climbing movement specialist, it’s packed with the knowledge and expertise gained over two decades as a professional climbing coach. Essential reading for all climbers from intermediate to elite in sport climbing, bouldering and traditional climbing.

    The amazing illustrations come from a variety of renowned illustrators, including Jean-Sébastien Rossbach, Leonid Kozienko, Benjamin Carré, Isaac Hannaford, and 343's internal art team, too.For the first time ever, the timeline of the Halo universe is available in one place, charting humanity's battles against alien forces of the Covenant, Forerunners, and the Flood--making this book an absolute must-have for Halo fans.

    Indian companies took up products that came in from the West and either replicated it or re-engineered it. Indians, when they went to other countries, were part of creative teams that came up with, and implemented great ideas. But, when in their own country, Indians do not have a reputation for coming up with innovative ideas. So, what is it that stops them?The author laments this situation in his book Making Breakthrough Innovation Happen: How 11 Indians Pulled Off The Impossible. He points out that even the Indian branches of MNCs do not see their Indian operations as centers of innovations. They just work on things that have already been conceived elsewhere.In this book, Munshi tells the true stories of 11 breakthrough ideas conceived and executed by Indians. These ground-breaking examples show that if someone dares to think out-of-the box and follows their dream, then seemingly impossible things can be achieved.The examples cover a wide range of industries. from public sector to private sector, and from MNCs and huge Indian companies to startup firms. The book talks about 11 ideas that had a deep impact, and achievements that were original and influential.The examples include the creation of the slimmest water proof watches by Titan, and the business model of Cavinkare - a small company that took on giants in the field of personal care products and succeeded. It includes the story of how Aravind Eye Hospital came up with an idea - assembly line surgery - to improve the productivity of its surgeons. Today, the hospital treats 70% of its patients free of charge and yet manages to make a good profit.Then, there is the case of the Hindi daily, Dainik Bhaskar, that combined intensive in-house marketing surveys and research with innovative marketing ideas to capture a large segment of the market in each new city they entered.The book throws light on the innovative strategies of Trichy police to turn around a city that was crime prone and known for communal clashes into one of the safest in the country. He further talks about the power backup company Su-kam that succeeded by creating its own niche, and Shantha Biotech that launched a low-cost Hepatitis B vaccine.The other success stories include Surat City’s transformation after the plague outbreak into one of the cleanest cities in the country, and Chic shampoo’s innovation of introducing sachet packs, which revolutionized the retail market. Making Breakthrough Innovation Happen: How 11 Indians Pulled Off The Impossible further elaborates how Bosch India came up with a new cost-effective pump that meets the Euro standards, ITC’s e-Choupal marketing model, and Chola Vehicle Finance’s innovative business model.All these real-life examples in Making Breakthrough Innovation Happen: How 11 Indians Pulled Off The Impossible give an insight into the ability of Indians to go beyond conventions and create innovative products and strategies that could turn their respective industries on their heads.About the AuthorPorus Munshi is a psychology graduate and has a passion for helping people realize their potential. He is also a partner consultant at Erehwon Innovation Consulting.He previously contributed a column to Hindu Busnessline called Work and You. His book, Making Breakthrough Innovation Happen: How 11 Indians Pulled Off The Impossible, is already on its second reprint.Munshi works with clients and helps them release mental blocks and conventional restraints to help them achieve their goals and dreams. He helps facilitate innovative thinking and organizational transformations. Besides his passion for innovation and realizing the human potential, he has an avid interest in martial arts, from Karate to Tai Chi.

    Heath's translation of the thirteen books of Euclid's Elements. In keeping with Green Lion's design commitment, diagrams have been placed on every spread for convenient reference while working through the proofs; running heads on every page indicate both Euclid's book number and proposition numbers for that page; and adequate space for notes is allowed between propositions and around diagrams. The all-new index has built into it a glossary of Euclid's Greek terms.Heath's translation has stood the test of time, and, as one done by a renowned scholar of ancient mathematics, it can be relied upon not to have inadvertantly introduced modern concepts or nomenclature. We have excised the voluminous historical and scholarly commentary that swells the Dover edition to three volumes and impedes classroom use of the original text. The single volume is not only more convenient, but less expensive as well.

    

    Many new exercises introduced in this edition help supplement and support explanations, aid in review, and make the book visually stimulating. This edition also includes a revised Logic tutorial on CD-Rom--further simplifying the study of logic. Includes many fascinating illustrations taken from the history of science as well as from contemporary research in the physical and biological sciences, plus introduces an abundance of new exercises throughout, complete with solutions for the first exercise in a set. Appropriate for those in business, education, political, or psychology careers.

    Worldreader addresses that problem using e-reader technology. Worldreader works with textbook publishers across the developing world to offer a range of digital textbooks to schools as part of their wider goal to promote literacy by bringing books to all.

    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.