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.

    Examining heroic myths in the light of modern psychology, it considers not only the patterns and stages of mythology but also its relevance to our lives today--and to the life of any person seeking a fully realized existence.Myth, according to Campbell, is the projection of a culture's dreams onto a large screen; Campbell's book, like Star Wars, the film it helped inspire, is an exploration of the big-picture moments from the stage that is our world. It is a must-have resource for both experienced students of mythology and the explorer just beginning to approach myth as a source of knowledge.

    A no-holds-barred assault on popular superstitions and prejudices, with more than 80,000 copies in print, Why People Believe Weird Things debunks these nonsensical claims and explores the very human reasons people find otherworldly phenomena, conspiracy theories, and cults so appealing. In an entirely new chapter, "Why Smart People Believe in Weird Things," Michael Shermer takes on science luminaries like physicist Frank Tippler and others, who hide their spiritual beliefs behind the trappings of science.Shermer, science historian and true crusader, also reveals the more dangerous side of such illogical thinking, including Holocaust denial, the recovered-memory movement, the satanic ritual abuse scare, and other modern crazes. Why People Believe Strange Things is an eye-opening resource for the most gullible among us and those who want to protect them.

    The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes.Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. The Fractal Geometry of Nature is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations.

    In this unconventional introduction, physicist Leonard Susskind and hacker-scientist George Hrabovsky offer a first course in physics and associated math for the ardent amateur. Unlike most popular physics books—which give readers a taste of what physicists know but shy away from equations or math—Susskind and Hrabovsky actually teach the skills you need to do physics, beginning with classical mechanics, yourself. Based on Susskind's enormously popular Stanford University-based (and YouTube-featured) continuing-education course, the authors cover the minimum—the theoretical minimum of the title—that readers need to master to study more advanced topics.An alternative to the conventional go-to-college method, The Theoretical Minimum provides a tool kit for amateur scientists to learn physics at their own pace.

    Nor is it a collection of bizarre facts, though the Angel of the Bizarre might well find himself at home in it. It is not a scientific contribution, a vehicle for an exotic teaching, a testament, a document, a fable. It is simply an account - at times figurative, at times factual - of a first excursion into some as yet scarcely explored realms of consciousness. The Morning of the Magicians is a classic of radical literature, a book that has challenged assumptions and conventional knowledge for decades. It has shaken the foundations of beliefs all over the world and may be the most influential book published in the twentieth century. Louis Pauwels and Jacques Bergier spent years searching "through all the regions of consciousness, to the frontiers of science and tradition" and opened their minds to any fact or theory that went beyond the frontier of current theories. The result is this remarkable work, and the stream of possibilities that it contains: Do mutants exist, are they a future form of man? Does extrasensory perception reveal that human consciousness has advanced beyond its currently accepted limits? What connects the ancient art of alchemy and modern atomic physics?

    About The Author: Henry Gray, F.R.S., Fellow of the royal college of Surgeons: Lecturer on anatomy at St. George?s Hospital Medical School. Table Of Contents: Descriptive and Surgical Anatomy The Articulations Muscles and Fasclae The Blood-vascular system The Lymphatics The Nervous system The Organs of special sense The Organs of Digestion The Organs of voice and respiration The urinary organs The Male Organs of Generation The Female Organs of Generation The Surgical Anatomy of Hernia Surgical Anatomy of the Perinaeum General Anatomy or Histology Embryology

    He was one of the leading pioneers of the greatest revolution in twentieth-century science: quantum mechanics. The youngest theoretician ever to win the Nobel Prize for Physics, he was also pathologically reticent, strangely literal-minded and legendarily unable to communicate or empathize. Through his greatest period of productivity, his postcards home contained only remarks about the weather.Based on a previously undiscovered archive of family papers, Graham Farmelo celebrates Dirac's massive scientific achievement while drawing a compassionate portrait of his life and work. Farmelo shows a man who, while hopelessly socially inept, could manage to love and sustain close friendship.The Strangest Man is an extraordinary and moving human story, as well as a study of one of the most exciting times in scientific history.'A wonderful book . . . Moving, sometimes comic, sometimes infinitely sad, and goes to the roots of what we mean by truth in science.' Lord Waldegrave, Daily Telegraph

    The material is arranged chronologically beginning with archaic origins and covers Egyptian, Mesopotamian, Greek, Chinese, Indian, Arabic and European contributions done to the nineteenth century and present day. There are revised references and bibliographies and revised and expanded chapters on the nineteeth and twentieth centuries.

    Now, two of the world's most eminent thinkers -- University of London physicists David Bohm, a former protege of Einstein's and one of the world's most respected quantum physicists, and Stanford neurophysiologist Karl Pribram, one of the architects of our modern understanding of the brain -- believe that the universe itself may be a giant hologram, quite literally a kind of image or construct created, at least in part, by the human mind. This remarkable new way of looking at the universe explains not only many of the unsolved puzzles of physics, but also such mysterious occurrences as telepathy, out-of-body and near death experiences, "lucid" dreams, and even religious and mystical experiences such as feelings of cosmic unity and miraculous healings.

    Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics.Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts.Brought up to date with a new chapter by Ian Stewart, What is Mathematics? Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved.Formal mathematics is like spelling and grammar - a matter of the correct application of local rules. Meaningful mathematics is like journalism - it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature - it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature - it opens a window onto the world of mathematics for anyone interested to view.

    How does Jane Goodall’s relationship with her dog Rusty inform her thinking about our relationship to other species? Which time and place would Jared Diamond most prefer to live in, in light of his work on the role of chance in history? What does driving a sports car have to do with Steven Weinberg’s quest for the “theory of everything”? Physicist and journalist Stefan Klein’s intimate conversations with nineteen of the world’s best-known scientists (including three Nobel Laureates) let us listen in as they talk about their paradigm-changing work—and how it is deeply rooted in their daily lives. • Cosmologist Martin Rees on the beginning and end of the world • Evolutionary biologist Richard Dawkins on egoism and selflessness • Neuroscientist V. S. Ramachandran on consciousness • Molecular biologist Elizabeth Blackburn on aging • Philosopher Peter Singer on morality • Physician and social scientist Nicholas Christakis on human relationships • Biochemist Craig Venter on the human genome • Chemist and poet Roald Hoffmann on beauty

    Illustrated.

    Drawing on years of research & on thinkers from Plato to Jung, Tarnas explores the planetary correlations of epochal events like the French Revolution, the world wars & 9/11. Whether read as astrology updated for the quantum age or as a contemporary classic of spirituality, Cosmos & Psyche is an important work of sophistication & learning. importance.Preface1 The transformation of the cosmos. The birth of the modern selfThe dawn of a new universe Two paradigms of historyForging the self, disenchanting the worldThe cosmological situation today 2 In search of a deeper order. Two suitors: a parableThe interior quest Synchronicity & its implicationsThe archetypal cosmos3 Through the archetypal telescope. The evolving traditionArchetypal principlesThe planets Forms of correspondence Personal transit cycles Archetypal coherence & concrete diversityAssessing patterns of correlation 4 Epochs of revolution. From the French Revolution to the 1960sSynchronic & diachronic patterns in historyScientific & technological revolutionsAwakenings of the DionysianThe liberation of natureReligious rebellion & erotic emancipationFilling in the cyclical sequence The individual & the collectiveA larger view of the sixties5 Cycles of crisis & contraction. World Wars, Cold War & 9/11Historical contrasts & tensionsConservative empowermentSplitting, evil & terror"Moby Dick" & nature's depthHistorical determinism, realpolitik & apocalypseMoral courage, facing the shadow & the tension of oppositesParadigmatic works of artForging deep structures 6 Cycles of creativity & expansion. Opening new horizons Convergences of scientific breakthroughsSocial & political rebellions & awakeningsQuantum leaps & peak experiencesFrom Copernicus to DarwinMusic & literatureIconic moments & cultural milestonesGreat heights & shadowsHidden births 7 Awakenings of spirit & soul. Epochal shifts of cultural visionSpiritual epiphanies & the emergence of new religionsUtopian social visions Romanticism, imaginative genius & cosmic epiphanyRevelations of the numinous The great awakening of the Axial Age The late 20th century & the turn of the millennium8 Towards a new heaven & a new earth. Understanding the past, creating the futureObservations on future planetary alignmentsSources of the world orderEpilogueNotesSourcesAcknowledgmentsIndex

    The effects of homeopathy don’t go away under rigorous scientific conditions. The laws of nature aren’t what they used to be. Thirty years on, no one has an explanation for a seemingly intelligent signal received from outer space. The US Department of Energy is re-examining cold fusion because the experimental evidence seems too solid to ignore. The placebo effect is put to work in medicine while doctors can’t agree whether it even exists.In an age when science is supposed to be king, scientists are beset by experimental results they simply can’t explain. But, if the past is anything to go by, these anomalies contain the seeds of future revolutions. While taking readers on an entertaining tour d’horizon of the strangest of scientific findings – involving everything from our lack of free will to Martian methane that offers new evidence of life on the planet – Michael Brooks argues that the things we don’t understand are the key to what we are about to discover.This mind-boggling but entirely accessible survey of the outer limits of human knowledge is based on a short article by Michael Brooks for New Scientist magazine. It became the sixth most circulated story on the internet in 2005, and provoked widespread comment and compliments (Google “13 things that do not make sense” to see).Michael Brooks has now dug deeply into those mysteries, with extraordinary results.