Pure mathematics, the area of Bourbaki's work, seems on the surface to be an abstract field of human study with no direct connection with the real world. In reality, however, it is closely intertwined with the general culture that surrounds it. Major developments in mathematics have often followed important trends in popular culture; developments in mathematics have acted as harbingers of change in the surrounding human culture. The seeds of change, the beginnings of the revolution that swept the Western world in the early decades of the twentieth century — both in mathematics and in other areas — were sown late in the previous century. This is the story both of Bourbaki and the world that created him in that time. It is the story of an elaborate intellectual joke — because Bourbaki, one of the foremost mathematicians of his day — never existed.

    Provides a review of introductory noncalculus-based physics for those who do not have a strong background in mathematics.

    These noteworthy accounts of the lives of David Hilbert and Richard Courant are closely related: Courant's story is, in many ways, seen as the sequel to the story of Hilbert. Originally published to great acclaim, both books explore the dramatic scientific history expressed in the lives of these two great scientists and described in the lively, nontechnical writing style of Contance Reid.

    As he did so masterfully in Prime Obsession, Derbyshire brings the evolution of mathematical thinking to dramatic life by focusing on the key historical players. Unknown Quantity begins in the time of Abraham and Isaac and moves from Abel's proof to the higher levels of abstraction developed by Galois through modern-day advances. Derbyshire explains how a simple turn of thought from this plus this equals this to this plus what equals this? gave birth to a whole new way of perceiving the world. With a historian's narrative authority and a beloved teacher's clarity and passion, Derbyshire leads readers on an intellectually satisfying and pleasantly challenging historical and mathematical journey.

    This is the currently used textbook for "Probabilistic Systems Analysis," an introductory probability course at the Massachusetts Institute of Technology, attended by a large number of undergraduate and graduate students. The book covers the fundamentals of probability theory (probabilistic models, discrete and continuous random variables, multiple random variables, and limit theorems), which are typically part of a first course on the subject. It also contains, a number of more advanced topics, from which an instructor can choose to match the goals of a particular course. These topics include transforms, sums of random variables, least squares estimation, the bivariate normal distribution, and a fairly detailed introduction to Bernoulli, Poisson, and Markov processes. The book strikes a balance between simplicity in exposition and sophistication in analytical reasoning. Some of the more mathematically rigorous analysis has been just intuitively explained in the text, but is developed in detail (at the level of advanced calculus) in the numerous solved theoretical problems. The book has been widely adopted for classroom use in introductory probability courses within the USA and abroad.

    Having just completed his masterpiece, The General Theory of Relativity—which provided a brand-new theory of gravity and promised a new perspective on the cosmos as a whole—he set out at once to share his excitement with as wide a public as possible in this popular and accessible book.Here published for the first time as a Penguin Classic, this edition of Relativity features a new introduction by bestselling science author Nigel Calder.

    The book's approach interweaves traditional topics with data analysis and reflects the use of the computer with close ties to the practice of statistics. The author stresses analysis of data, examines real problems with real data, and motivates the theory. The book's descriptive statistics, graphical displays, and realistic applications stand in strong contrast to traditional texts which are set in abstract settings.

    In The Constants of Nature, Cambridge Professor and bestselling author John D.Barrow takes us on an exploration of these governing principles. Drawing on physicists such as Einstein and Planck, Barrow illustrates with stunning clarity our dependence on the steadfastness of these principles. But he also suggests that the basic forces may have been radically different during the universe’s infancy, and suggests that they may continue a deeply hidden evolution. Perhaps most tantalizingly, Barrow theorizes about the realities that might one day be found in a universe with different parameters than our own.

    Smith, M.D., New York Times bestselling author of Feed Your Body Right""Syndrome X is the best new book to help you understand the facts about nutrition, health, and aging. . . . It is full of new information and insights most readers have never had access to before. Everyone who values his or her health will want to read the book and then individualize the program to suit his or her needs-the authors have made this easier than ever to do.""-Richard A. Kunin, M.D., author of Mega-NutritionWhat is Syndrome X? It's a resistance to insulin-the hormone needed to burn food for energy-combined with high cholesterol or triglycerides, high blood pressure, or too much body fat. Syndrome X ages you prematurely and significantly increases your risk of heart disease, hypertension, obesity, eye disease, nervous system disorders, diabetes, Alzheimer's, cancer, and other age-related diseases.Syndrome X is the first book to tell you how to fight the epidemic disorder that is derailing the health of nearly a third of North Americans. It outlines a complete three-step program-including easy-to-follow diets, light physical activity, and readily available vitamins and nutritional supplements-that will safeguard you against developing Syndrome X or reverse it if you already have it.

    Based on a National Magazine Award-winning article, this masterful biography of Hungarian-born Paul Erdos is both a vivid portrait of an eccentric genius and a layman's guide to some of this century's most startling mathematical discoveries.

    From the Difference Engine to magic squares and from the Fibonacci rabbits to Fermat's Last Theorem, this book features the weird world of numbers, imaginary, real or infinite.

    Aimed at accountants or readers of other career paths, this book helps them build their decision making skills and understand how to use accounting information to make quality business decisions.

    The perfect combination of scholarship and accessible presentation for Christians who desire to know how to better understand and defend their faith.Bestselling authors Ed Hindson and Ergun Caner have brought together a who's who of apologetic experts—including Lee Strobel, Norm Geisler, Josh McDowell, and John Ankerberg—to produce a resource that's both easy to understand and comprehensive in scope.Every entry provides a biblical perspective and mentions the key essentials that believers need to know about a wide variety of apologetic concerns, including...issues concerning God, Christ, and the Biblescientific and historical controversiesethical matters (genetic engineering, homosexuality, ecology, feminism)a Christian response to world religions and cultsa Christian response to the major worldviews and philosophies of our dayIncluded with each entry are practical applications for approaching or defending the issue at hand, along with recommendations for additional reading on the subject.

    They'll also find the related analytic geometry much easier. The clear review of algebra and geometry in this edition will make calculus easier for students who wish to strengthen their knowledge in these areas. Updated to meet the emphasis in current courses, this new edition of a popular guide--more than 104,000 copies were bought of the prior edition--includes problems and examples using graphing calculators..

    An essential pastime of Russian intellectuals and revolutionaries, and later adopted by the Communists as a symbol of Soviet power, chess was inextricably linked to the rise and fall of the “evil empire.” This original narrative history recounts in gripping detail the singular part the Immortal Game played in the Cold War. From chess’s role in the Russian Revolution -- Marx, Lenin, and Trotsky were all avid players -- to the 1945 radio match when the Soviets crushed the Americans, prompting Stalin’s telegram “Well done lads!”; to the epic contest between Bobby Fischer and Boris Spassky in 1972 at the height of détente, when Kissinger told Fischer to “go over there and beat the Russians”; to the collapse of the Soviet Union itself, White King and Red Queen takes us on a fascinating tour of the Cold War’s checkered landscape.