When he died in London in 1727 he was so renowned he was given a state funeral—an unheard-of honor for a subject whose achievements were in the realm of the intellect. During the years he was an irascible presence at Trinity College, Cambridge, Newton imagined properties of nature and gave them names—mass, gravity, velocity—things our science now takes for granted. Inspired by Aristotle, spurred on by Galileo’s discoveries and the philosophy of Descartes, Newton grasped the intangible and dared to take its measure, a leap of the mind unparalleled in his generation.James Gleick, the author of Chaos and Genius, and one of the most acclaimed science writers of his generation, brings the reader into Newton’s reclusive life and provides startlingly clear explanations of the concepts that changed forever our perception of bodies, rest, and motion. Ideas so basic to the twenty-first century we literally take them for granted.

    The subject was the mystery of prime numbers. At the heart of the presentation was an idea that Riemann had not yet proved but one that baffles mathematicians to this day.Solving the Riemann Hypothesis could change the way we do business, since prime numbers are the lynchpin for security in banking and e-commerce. It would also have a profound impact on the cutting-edge of science, affecting quantum mechanics, chaos theory, and the future of computing. Leaders in math and science are trying to crack the elusive code, and a prize of $1 million has been offered to the winner. In this engaging book, Marcus du Sautoy reveals the extraordinary history behind the holy grail of mathematics and the ongoing quest to capture it.

    In a new chapter for this edition that brings the story up-to-date, Nicholas Carr revisits the dramatic new world being conjured from the circuits of the "World Wide Computer."

    Smoking has gone from doctor recommended to deadly. We used to think the Earth was the center of the universe and that Pluto was a planet. For decades, we were convinced that the brontosaurus was a real dinosaur. In short, what we know about the world is constantly changing.   But it turns out there’s an order to the state of knowledge, an explanation for how we know what we know. Samuel Arbesman is an expert in the field of scientometrics—literally the science of science. Knowl­edge in most fields evolves systematically and predict­ably, and this evolution unfolds in a fascinating way that can have a powerful impact on our lives.   Doctors with a rough idea of when their knowl­edge is likely to expire can be better equipped to keep up with the latest research. Companies and govern­ments that understand how long new discoveries take to develop can improve decisions about allocating resources. And by tracing how and when language changes, each of us can better bridge gen­erational gaps in slang and dialect.   Just as we know that a chunk of uranium can break down in a measurable amount of time—a radioactive half-life—so too any given field’s change in knowledge can be measured concretely. We can know when facts in aggregate are obsolete, the rate at which new facts are created, and even how facts spread.   Arbesman takes us through a wide variety of fields, including those that change quickly, over the course of a few years, or over the span of centuries. He shows that much of what we know consists of “mesofacts”—facts that change at a middle timescale, often over a single human lifetime. Throughout, he of­fers intriguing examples about the face of knowledge: what English majors can learn from a statistical analysis of The Canterbury Tales, why it’s so hard to measure a mountain, and why so many parents still tell kids to eat their spinach because it’s rich in iron.   The Half-life of Facts is a riveting journey into the counterintuitive fabric of knowledge. It can help us find new ways to measure the world while accepting the limits of how much we can know with certainty.

    Big and informative, "The New York Times Book of Mathematics" gathers more than 110 articles written from 1892 to 2010 that cover statistics, coincidences, chaos theory, famous problems, cryptography, computers, and many other topics. Edited by Pulitzer Prize finalist and senior "Times" writer Gina Kolata, and featuring renowned contributors such as James Gleick, William L. Laurence, Malcolm W. Browne, George Johnson, and John Markoff, it's a must-have for any math and science enthusiast!

    Focusing on the mysteries--romantic, scientific, literary--that engage the minds and hearts of characters whose passions and lives intersect across scientific planes and centuries, it is "Stoppard's richest, most ravishing comedy to date, a play of wit, intellect, language, brio and... emotion. It's like a dream of levitation: you're instantaneously aloft, soaring, banking, doing loop-the-loops and then, when you think you're about to plummet to earth, swooping to a gentle touchdown of not easily described sweetness and sorrow... Exhilarating" (Vincent Canby, The New York Times).

    A prize of one million dollars was offered to anyone who could unravel it, but Perelman declined the winnings, and in doing so inspired journalist Masha Gessen to tell his story. Drawing on interviews with Perelman’s teachers, classmates, coaches, teammates, and colleagues in Russia and the United States—and informed by her own background as a math whiz raised in Russia—Gessen uncovered a mind of unrivaled computational power, one that enabled Perelman to pursue mathematical concepts to their logical (sometimes distant) end. But she also discovered that this very strength turned out to be Perelman's undoing and the reason for his withdrawal, first from the world of mathematics and then, increasingly, from the world in general.

    With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot. Holt offers a painless and playful introduction to many of our most beautiful but least understood ideas, from Einsteinian relativity to string theory, and also invites us to consider why the greatest logician of the twentieth century believed the U.S. Constitution contained a terrible contradiction--and whether the universe truly has a future.

    GRAPH THEORY WITH APPLICATIONS TO ENGINEERING AND COMPUTER SCIENCE-PHI-DEO, NARSINGH-1979-EDN-1

    Each chapter, or unit, is divided into easily comprehended small "bites" that enable learners to master the material step-by-step, rather than being overwhelmed by masses of information covered too quickly. The book provides extremely detailed explanations of procedures and techniques, and was written in the conviction that anyone can thoroughly master its content. A four-part organization covers sentential logic, monadic predicate logic, relational predicate logic, and extra credit units that glimpse into alternative methods of logic and more advanced topics. For individuals interested in the formal study of logic.

    However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. Gödel, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more.

    In The Irrationals , the first popular and comprehensive book on the subject, Julian Havil tells the story of irrational numbers and the mathematicians who have tackled their challenges, from antiquity to the twenty-first century. Along the way, he explains why irrational numbers are surprisingly difficult to define--and why so many questions still surround them. That definition seems so simple: they are numbers that cannot be expressed as a ratio of two integers, or that have decimal expansions that are neither infinite nor recurring. But, as The Irrationals shows, these are the real "complex" numbers, and they have an equally complex and intriguing history, from Euclid's famous proof that the square root of 2 is irrational to Roger Apry's proof of the irrationality of a number called Zeta(3), one of the greatest results of the twentieth century. In between, Havil explains other important results, such as the irrationality of e and pi. He also discusses the distinction between "ordinary" irrationals and transcendentals, as well as the appealing question of whether the decimal expansion of irrationals is "random". Fascinating and illuminating, this is a book for everyone who loves math and the history behind it.

    Yet its principles transcend warfare and have practical applications to all the conflicts and crises we face in our lives in our workplaces, our families, even within ourselves.Thomas Huynh guides you through Sun Tzu's masterwork, highlighting principles that encourage a perceptive and spiritual approach to conflict, enabling you to: •Prevent conflicts before they arise•Peacefully and quickly resolve conflicts when they do arise•Act with courage, intelligence and benevolence in adversarial situations•Convert potential enemies into friends•Control your emotions before they control youNow you can experience the effectiveness of Sun Tzu's teachings even if you have no previous knowledge of The Art of War. Insightful yet unobtrusive facing-page commentary explains the subtleties of the text, allowing you to unlock the power of its teachings and help prevent and resolve the conflicts in your own life."

    Why is the sky dark at night? Is it possible to build a shrink-ray gun? If there is antimatter, can there be antipeople? Why are past, present, and future our only options? Are time and space like a butterfly's wings?No one but Dave Goldberg, the coolest nerd physicist on the planet, could give a hyper drive tour of the universe like this one. Not only does he answer the questions your stoner friends came up with in college, but he also reveals the most profound discoveries of physics with infectious, Carl Sagan–like enthusiasm and accessibility.Goldberg’s narrative is populated with giants from the history of physics, and the biggest turns out to be an unsung genius and Nazi holocaust escapee named Emmy Noether—the other Einstein. She was unrecognized, even unpaid, throughout most of her career simply because she was a woman. Nevertheless, her theorem relating conservation laws to symmetries is widely regarded to be as important as Einstein’s notion of the speed of light. Einstein himself said she was “the most significant creative mathematical genius thus far produced since the higher education of women began.”Symmetry is the unsung great idea behind all the big physics of the last one hundred years—and what lies ahead. In this book, Goldberg makes mindbending science not just comprehensible but gripping. Fasten your seat belt.

    That does not mean that his head was in the clouds, or that the particular sciences lacked interest for him. Not at all--he felt a lively concern for theological debate, he was a mathematician of the first rank, he made original contributions to physics, he gave a realistic attention to moral psychology. But he was incapable of looking at the objects of any special enquiry without seeing them as aspects or parts of one intelligible universe. He strove constantly after system, and the instrument on which his effort relied was the speculative reason. He embodied in an extreme form the spirit of his age. Nothing could be less like the spirit of ours. To many people now alive metaphysics means a body of wild and meaningless assertions resting on spurious argument. A professor of metaphysics may nowadays be held to deal handsomely with theduties of his chair if he is prepared to handle metaphysical statements at all, though it be only for the purpose of getting rid of them, by showing them up as confused forms of something else. A chair in metaphysical philosophy becomes analogous to a chair in tropical diseases: what is taught from it is not the propagation but the cure.Confidence in metaphysical construction has ebbed and flowed through philosophical history; periods of speculation have been followed by periods of criticism. The tide will flow again, but it has not turned yet, and [8] such metaphysicians as survive scarcely venture further than to argue a case for the possibility of their art. It would be an embarrassing task to open an approach to Leibnitian metaphysics from the present metaphysical position, if there is a present position. If we want an agreed starting-point, it will have to be historical.The historical importance of Leibniz's ideas is anyhow unmistakable. If metaphysical thinking is nonsensical, its empire over the human imagination must still be confessed; if it is as chimerical a science as alchemy, it is no less fertile in by-products of importance. And if we are to consider Leibniz historically, we cannot do better than take up his _Theodicy_, fortwo reasons. It was the only one of his main philosophical works to be published in his lifetime, so that it was a principal means of his direct influence; the Leibniz his own age knew was the Leibniz of the _Theodicy_. Then in the second place, the _Theodicy_ itself is peculiarly rich in historical material. It reflects the world of men and books which Leibnizknew; it expresses the theological setting of metaphysical speculation which still predominated in the first years of the eighteenth century........