Six years later they were bitter antagonists, locked in a savage struggle that was as much personal and emotional as it was theoretical and professional. Between them stood a young woman named Sabina Spielrein, who had been both patient and lover to Jung and colleague and confidante to Freud before going on to become an innovative psychoanalyst herself.A solid new interpretation of the short-lived but oft-analyzed collaboration between Freud and Jung, in which the mysterious Sabina Spielrein figures prominently. Using Spielrein's correspondence and journals--discovered in the 1970's and first appearing in Aldo Carotenuto's A Secret Symmetry (1982)--Kerr traces a fascinating, credible web of influence and cross-fertilized ideas that he weaves skillfully into a record of psychoanalytic history.

    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.

    A legend at age twenty-one, this cocky hotshot was the biggest high roller to appear in Sin City in decades, a mathematical genius with a system the casinos had never seen before and couldn't stop -- a system that has never been revealed until now; that has nothing to do with card counting, wasn't illegal, and was more powerful than anything that had been tried before.Las Vegas. Atlantic City. Aruba. Barcelona. London. And the jewel of the gambling crown -- Monte Carlo.Dukach and his fellow MIT students hit them all and made millions. They came in hard, with stacks of cash; big, seemingly insane bets; women hanging on their arms; and fake identities. Although they were taking classes and studying for exams during the week, over the weekends they stormed the blackjack tables only to be harassed, banned from casinos, threatened at gunpoint, and beaten in Vegas's notorious back rooms.The stakes were high, the dangers very real, but the players were up to the challenges, consequences be damned. There was Semyon Dukach himself, bored with school and broke; Victor Cassius, the slick, brilliant MIT grad student who galvanized the team; Owen Keller, with stunning ability but a dark past that would catch up to him; and Allie Simpson, bright, clever, and a feast for the eyes.In the classroom, they were geeks. On the casino floor, they were unstoppable.Busting Vega$ is Dukach's unbelievably true story; a riveting account of monumental greed, excess, hubris, sex, love, violence, fear, and statistics that is high-stakes entertainment at its best.

    Drawing inspiration from six of the finest minds in history - Socrates, Epicurus, Seneca, Montaigne, Schopenhauer and Nietzsche - he addresses lack of money, the pain of love, inadequacy, anxiety and conformity. De Botton's book led one critic to call philosophy 'the new rock and roll'.

    Though he never left Italy, his inventions and discoveries were heralded around the world. Most sensationally, his telescopes allowed him to reveal a new reality in the heavens and to reinforce the astounding argument that the Earth moves around the Sun. For this belief, he was brought before the Holy Office of the Inquisition, accused of heresy, and forced to spend his last years under house arrest. Of Galileo's three illegitimate children, the eldest best mirrored his own brilliance, industry, and sensibility, and by virtue of these qualities became his confidante. Born Virginia in 1600, she was thirteen when Galileo placed her in a convent near him in Florence, where she took the most appropriate name of Suor Maria Celeste. Her loving support, which Galileo repaid in kind, proved to be her father's greatest source of strength throughout his most productive and tumultuous years. Her presence, through letters which Sobel has translated from their original Italian and masterfully woven into the narrative, graces her father's life now as it did then. Galileo's Daughter dramatically recolors the personality and accomplishment of a mythic figure whose seventeenth-century clash with Catholic doctrine continues to define the schism between science and religion. Moving between Galileo's grand public life and Maria Celeste's sequestered world, Sobel illuminates the Florence of the Medicis and the papal court in Rome during the pivotal era when humanity's perception of its place in the cosmos was being overturned. In that same time, while the bubonic plague wreaked its terrible devastation and the Thirty Years' War tipped fortunes across Europe, one man sought to reconcile the Heaven he revered as a good Catholic with the heavens he revealed through his telescope. With all the human drama and scientific adventure that distinguished Longitude, Galileo's Daughter is an unforgettable story.

    In this new major work Abraham Pais, himself an eminent physicist who worked alongside Einstein in the post-war years, traces the development of Einstein's entire oeuvre. This is the first book which deal comprehensively and in depth with Einstein's science, both the successes and the failures.Running through the book is a completely non-scientific biography (identified in the table of contents by italic type) including many letters which appear in English for the first time, as well as other information not published before.Throughout the preparation of this book, Pais has had complete access to the Einstein Archives (now in the possession of the Hebrew University) and the invaluable guidance of the late Helen Dukas--formerly Einstein's private secretary.

    Johannes Kepler, who discovered the three basic laws of planetary motion, was persecuted for his support of the Copernican system. After a neighbour accused his mother of witchcraft, Kepler quit his post as the Imperial mathematician to defend her.James Connor tells Kepler's story as a pilgrimage, a spiritual journey into the modern world through war and disease and terrible injustice, a journey reflected in the evolution of Kepler's geometrical model of the cosmos into a musical model, harmony into greater harmony. The leitmotif of the witch trial adds a third dimension to Kepler's biography by setting his personal life within his own times. The acts of this trial, including Kepler's letters and the accounts of the witnesses, although published in their original German dialects, had never before been translated into English. Echoing some of Dava Sobel's work for Galileo's Daughter, Connor has translated the witch trial documents into English. With a great respect for the history of these times and the life of this man, Connor's accessible story illuminates the life of Kepler, the man of science, but also Kepler, a man of uncommon faith and vision.

    Then, attempting to break a Nazi code during World War II, he successfully designed and built one, thus ensuring the Allied victory. Turing became a champion of artificial intelligence, but his work was cut short. As an openly gay man at a time when homosexuality was illegal in England, he was convicted and forced to undergo a humiliating "treatment" that may have led to his suicide.With a novelist's sensitivity, David Leavitt portrays Turing in all his humanity—his eccentricities, his brilliance, his fatal candor—and elegantly explains his work and its implications.

    The more we discover, the more puzzling the universe appears to be. How and why are the laws of nature what they are? A philosopher and a physicist, world-renowned for their radical ideas in their fields, argue for a revolution. To keep cosmology scientific, we must replace the old view in which the universe is governed by immutable laws by a new one in which laws evolve. Then we can hope to explain them. The revolution that Roberto Mangabeira Unger and Lee Smolin propose relies on three central ideas. There is only one universe at a time. Time is real: everything in the structure and regularities of nature changes sooner or later. Mathematics, which has trouble with time, is not the oracle of nature and the prophet of science; it is simply a tool with great power and immense limitations. The argument is readily accessible to non-scientists as well as to the physicists and cosmologists whom it challenges.

    In those twelve months, Einstein shattered many cherished scientific beliefs with five extraordinary papers that would establish him as the world's leading physicist. This book brings those papers together in an accessible format. The best-known papers are the two that founded special relativity: On the Electrodynamics of Moving Bodies and Does the Inertia of a Body Depend on Its Energy Content? In the former, Einstein showed that absolute time had to be replaced by a new absolute: the speed of light. In the second, he asserted the equivalence of mass and energy, which would lead to the famous formula E = mc2.The book also includes On a Heuristic Point of View Concerning the Production and Transformation of Light, in which Einstein challenged the wave theory of light, suggesting that light could also be regarded as a collection of particles. This helped to open the door to a whole new world--that of quantum physics. For ideas in this paper, he won the Nobel Prize in 1921.The fourth paper also led to a Nobel Prize, although for another scientist, Jean Perrin. On the Movement of Small Particles Suspended in Stationary Liquids Required by the Molecular-Kinetic Theory of Heat concerns the Brownian motion of such particles. With profound insight, Einstein blended ideas from kinetic theory and classical hydrodynamics to derive an equation for the mean free path of such particles as a function of the time, which Perrin confirmed experimentally. The fifth paper, A New Determination of Molecular Dimensions, was Einstein's doctoral dissertation, and remains among his most cited articles. It shows how to calculate Avogadro's number and the size of molecules.These papers, presented in a modern English translation, are essential reading for any physicist, mathematician, or astrophysicist. Far more than just a collection of scientific articles, this book presents work that is among the high points of human achievement and marks a watershed in the history of science. Coinciding with the 100th anniversary of the miraculous year, this new paperback edition includes an introduction by John Stachel, which focuses on the personal aspects of Einstein's youth that facilitated and led up to the miraculous year.

    Monk's life of Wittgenstein is such a one."--"The Christian Science Monitor."

    In the paper, Wigner observed that the mathematical structure of a physical theory often points the way to further advances in that theory and even to empirical predictions.

    With an updated preface for this new edition, EINSTEIN explains how the scientific icon changed our view of the world and why no one can ever hope to understand it without first understanding his work.

    In doing so, the authors synthesize information from astronomy, biology, and paleontology, and apply it to what we know about the rise of life on Earth and to what could possibly happen elsewhere in the universe. Everyone who has been thrilled by the recent discoveries of extrasolar planets and the indications of life on Mars and the Jovian moon Europa will be fascinated by Rare Earth, and its implications for those who look to the heavens for companionship.

    His extraordinary insights into human psychology, morality, religion and power seem quite clairvoyant today: existentialism, psychoanalysis, semiotics and postmodernism are plainly anticipated in his writings - which are famously enigmatic and often contradictory."Introducing Nietzsche" is the perfect guide to this exhilarating and oft-misunderstood philosopher.