Approaching science with a freshness unbound by convention or previous expectations, he produced some of the most original scientific thinking of the nineteenth century - and his discoveries went on to shape the twentieth century.

    at 21, and was soon identifying the structures of the world's smallest components and illuminating the elegant symmetries of the universe.Beautifully balanced in its portrayal of an extraordinary and difficult man, interpreting the concepts of advanced physics with scrupulous clarity and simplicity, Strange Beauty is a tour-de-force of both science writing and biography.

    David Peat explains the development and meaning of this Superstring Theory in a thoroughly readable, dramatic manner accessible to lay readers with no knowledge of mathematics. The consequences of the Superstring Theory are nothing less than astonishing.

    Now he brings his considerable talents to the history of one of math's most enduring puzzles: the seemingly paradoxical nature of infinity.Is infinity a valid mathematical property or a meaningless abstraction? The nineteenth-century mathematical genius Georg Cantor's answer to this question not only surprised him but also shook the very foundations upon which math had been built. Cantor's counterintuitive discovery of a progression of larger and larger infinities created controversy in his time and may have hastened his mental breakdown, but it also helped lead to the development of set theory, analytic philosophy, and even computer technology.Smart, challenging, and thoroughly rewarding, Wallace's tour de force brings immediate and high-profile recognition to the bizarre and fascinating world of higher mathematics.

    It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.

    An extremely clever account.--The New Yorker.

    KEY TOPICS: This classic book enables readers to make connections between classical and modern physics - an indispensable part of a physicist's education. In this new edition, Beams Medal winner Charles Poole and John Safko have updated the book to include the latest topics, applications, and notation, to reflect today's physics curriculum. They introduce readers to the increasingly important role that nonlinearities play in contemporary applications of classical mechanics. New numerical exercises help readers to develop skills in how to use computer techniques to solve problems in physics. Mathematical techniques are presented in detail so that the book remains fully accessible to readers who have not had an intermediate course in classical mechanics. MARKET: For college instructors and students.

    Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science.

    Anticipation of the rare celestial event sparked a worldwide competition among aspiring global superpowers, each sending their own scientific expeditions to far-flung destinations to time the planet’s trek. These pioneers used the “Venus Transit” to discover the physical dimensions of the solar system and refine the methods of discovering longitude at sea. In this fast-paced narrative, Mark Anderson reveals the stories of three Venus Transit voyages--to the heart of the Arctic, the New World, and the Pacific—that risked every mortal peril of a candlelit age. With time running out, each expedition struggles to reach its destination—a quest that races to an unforgettable climax on a momentous summer day when the universe suddenly became much larger than anyone had dared to imagine.The Day the World Discovered the Sun tells an epic story of the enduring human desire to understand our place in the universe.

    This is the amazing story of how the "map problem" was solved.The problem posed in the letter came from a former student: What is the least possible number of colors needed to fill in any map (real or invented) so that neighboring counties are always colored differently? This deceptively simple question was of minimal interest to cartographers, who saw little need to limit how many colors they used. But the problem set off a frenzy among professional mathematicians and amateur problem solvers, among them Lewis Carroll, an astronomer, a botanist, an obsessive golfer, the Bishop of London, a man who set his watch only once a year, a California traffic cop, and a bridegroom who spent his honeymoon coloring maps. In their pursuit of the solution, mathematicians painted maps on doughnuts and horseshoes and played with patterned soccer balls and the great rhombicuboctahedron. It would be more than one hundred years (and countless colored maps) later before the result was finally established. Even then, difficult questions remained, and the intricate solution--which involved no fewer than 1,200 hours of computer time--was greeted with as much dismay as enthusiasm.Providing a clear and elegant explanation of the problem and the proof, Robin Wilson tells how a seemingly innocuous question baffled great minds and stimulated exciting mathematics with far-flung applications. This is the entertaining story of those who failed to prove, and those who ultimately did prove, that four colors do indeed suffice to color any map.

    Guns, Germs, and Steel: The Fates of Human Societies is a 1997 book by Jared Diamond, professor of geography and physiology at the University of California, Los Angeles (UCLA). In 1998 it won a Pulitzer Prize and the Aventis Prize for Best Science Book. A documentary based on the book and produced by the National Geographic Society was broadcast on PBS in July 2005.

    Pauli was fascinated by the inner reaches of his own psyche and not afraid to dabble in the occult, while Jung looked to science for answers to the psychological questions that tormented him. Their rich friendship led them, in Jung’s words, into “the no-man’s land between physics and the psychology of the unconscious . . . the most fascinating yet the darkest hunting ground of our times.” Both were obsessed with the far-reaching significance of the number “137”—a primal number that seemed to hint at the origins of the universe itself. Their quest to solve its enigma led them on a lifelong journey into the ancient secrets of alchemy, the work of Johannes Kepler, and the Chinese Book of Changes. This is the captivating story of an extraordinary and fruitful collaboration between two of the greatest thinkers of the twentieth century.

    However, while physicists celebrated these momentous discoveries—which presaged the era of big science and nuclear bombs—Europe was moving inexorably toward totalitarianism and war. In April of that year, about forty of the world’s leading physicists—including Werner Heisenberg, Lise Meitner, and Paul Dirac—came to Niels Bohr’s Copenhagen Institute for their annual informal meeting about the frontiers of physics. Physicist Gino Segrè brings to life this historic gathering, which ended with a humorous skit based on Goethe’s Faust—a skit that eerily foreshadowed events that would soon unfold. Little did the scientists know the Faustian bargains they would face in the near future. Capturing the interplay between the great scientists as well as the discoveries they discussed and debated, Segrè evokes the moment when physics—and the world—was about to lose its innocence.

    Linear algebra is tightly integrated into the text.