Students, researchers, historians, specialists — in short, everyone with an interest in mathematics — will find it engrossing and stimulating.Beginning with the ancient Near East, the author traces the ideas and techniques developed in Egypt, Babylonia, China, and Arabia, looking into such manuscripts as the Egyptian Papyrus Rhind, the Ten Classics of China, and the Siddhantas of India. He considers Greek and Roman developments from their beginnings in Ionian rationalism to the fall of Constantinople; covers medieval European ideas and Renaissance trends; analyzes 17th- and 18th-century contributions; and offers an illuminating exposition of 19th century concepts. Every important figure in mathematical history is dealt with — Euclid, Archimedes, Diophantus, Omar Khayyam, Boethius, Fermat, Pascal, Newton, Leibniz, Fourier, Gauss, Riemann, Cantor, and many others.For this latest edition, Dr. Struik has both revised and updated the existing text, and also added a new chapter on the mathematics of the first half of the 20th century. Concise coverage is given to set theory, the influence of relativity and quantum theory, tensor calculus, the Lebesgue integral, the calculus of variations, and other important ideas and concepts. The book concludes with the beginnings of the computer era and the seminal work of von Neumann, Turing, Wiener, and others."The author's ability as a first-class historian as well as an able mathematician has enabled him to produce a work which is unquestionably one of the best." — Nature Magazine.

    Gamow, physicist and gifted writer, has sketched an intriguing portrait of the scientists and clashing ideas that made the quantum revolution…”—Christian Science MonitorIn 1900, German physicist Max Planck postulated that light, or radiant energy can exist only in the form of discrete packages or quanta. This profound insight, along with Einstein's equally momentous theories of relativity, completely revolutionized man's view of matter, energy, and the nature of physics itself.In this lucid layman's introduction to quantum theory, an eminent physicist and noted popularizer of science traces the development of quantum theory from the turn of the century to about 1930—from Planck's seminal concept (still developing) to anti-particles, mesons and Enrico Fermi's nuclear research. Gamow was not just a spectator at the theoretical breakthroughs which fundamentally altered our view of the universe, he was an active participant who made important contributions of his own. This “insider's” vantage point lends special validity to his careful, accessible explanation of Heisenberg's Uncertainty Principle, Neils Bohr's model of the atom, the pilot waves of Louis de Broglie and other path-breaking ideas.In addition, Gamow recounts a wealth of revealing personal anecdotes which give a warm human dimension to many giants of 20th-century physics. He end the book with the Blegdamsvej Faust, a delightful play written in 1932 by Niels Bohr's students and colleagues to satirize the epochal developments that were revolutionizing physics. This celebrated play is available only in this volume.Written in a clear, lively style, and enhanced by 12 photographs (including candid shots of Rutherford, Bohr, Pauli, Heisenberg, Fermi and other notables), Thirty Years that Shook Physics offers both scientists and laymen a highly readable introduction to the brilliant conception that helped unlock many secrets of energy and matter and laid the groundwork for future discoveries.(Back Cover)

    November 2015 is the 100th anniversary of Einstein’s discovery of the General Theory of Relativity.Levenson, head of MIT’s Science Writing Program, tells the captivating, unusual, and nearly-forgotten backstory behind Einstein’s invention of the Theory of Relativity, which completely changed the course of science forever. For over 50 years before Einstein developed his theory, the world’s top astronomers spent countless hours and energy searching for a planet, which came to be named Vulcan, that had to exist, it was thought, given Isaac Newton’s theories of gravity. Indeed, in the two centuries since Newton’s death, his theory had essentially become accepted as fact. It took Einstein’s genius to realize the mystery of the missing planet wasn’t a problem of measurements or math but of Newton’s theory of gravity itself. Einstein’s Theory of Relativity proved that Vulcan did not and could not exist, and that the decades-long search for it had merely been a quirk of operating under the wrong set of assumptions about the universe. Thomas Levenson tells this unique story, one of the strangest episodes in the history of science, with elegant simplicity, fast-paced drama, and lively characters sure to capture the attention of a wide group of readers.

    Yet the mathematical language of symmetry-known as group theory-did not emerge from the study of symmetry at all, but from an equation that couldn't be solved. For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory. The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.

    Ignored by his mother, scorned by contemporaries, seemingly at war with the world in which he lived, Newton turned his energies to things unseen. His laws of motion and law of universal gravitation would set the stage for a most extraordinary life. Inside you will read about... ✓ The English Civil War ✓ Newton and the Apple ✓ Newton's Work in Mathematics & Optics ✓ Middle Years in Scientific Experiments ✓ Principia ✓ Newton and Alchemy ✓ Later Life and Death And much more! Follow along as you travel from a rugged stone farmhouse to Trinity College, Cambridge to the halls of London exhibitions where Newton found himself the celebrity of the age. Looking back on Aristotle, and inspired by all that Galileo had brought the world, Newton made his life work much of what is heralded as the modern age. He saw what no one else did, and his vision saw into the universe. See how he did it, and why.

    Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio. Even as he initiates us into the mysteries of real numbers, functions, and limits, Berlinski explores the furthest implications of his subject, revealing how the calculus reconciles the precision of numbers with the fluidity of the changing universe. "An odd and tantalizing book by a writer who takes immense pleasure in this great mathematical tool, and tries to create it in others."--New York Times Book Review

    Composed of such luminaries as Kurt Gödel and Rudolf Carnap, and stimulated by the works of Ludwig Wittgenstein and Karl Popper, the Vienna Circle left an indelible mark on science.Exact Thinking in Demented Times tells the often outrageous, sometimes tragic, and never boring stories of the men who transformed scientific thought. A revealing work of history, this landmark book pays tribute to those who dared to reinvent knowledge from the ground up.

    . . Nobel winner . . . bestselling author . . . safe-cracker. In this substantial graphic novel biography, First Second presents the larger-than-life exploits of Nobel-winning quantum physicist, adventurer, musician, world-class raconteur, and one of the greatest minds of the twentieth century: Richard Feynman. Written by nonfiction comics mainstay Jim Ottaviani and brilliantly illustrated by First Second author Leland Myrick, Feynman tells the story of the great man's life from his childhood in Long Island to his work on the Manhattan Project and the Challenger disaster. Ottaviani tackles the bad with the good, leaving the reader delighted by Feynman's exuberant life and staggered at the loss humanity suffered with his death. Anyone who ever wanted to know more about Richard P. Feynman, quantum electrodynamics, the fine art of the bongo drums, the outrageously obscure nation of Tuva, or the development and popularization of the field of physics in the United States need look no further than this rich and joyful work.• One of School Library Journal's Best Adult Books 4 Teens titles of 2011 • One of Horn Book's Best Nonfiction Books of 2011

    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.

    . . in which Sydney Padua transforms one of the most compelling scientific collaborations into a hilarious series of adventures. Meet Victorian London’s most dynamic duo: Charles Babbage, the unrealized inventor of the computer, and his accomplice, Ada, Countess of Lovelace, the peculiar protoprogrammer and daughter of Lord Byron. When Lovelace translated a description of Babbage’s plans for an enormous mechanical calculating machine in 1842, she added annotations three times longer than the original work. Her footnotes contained the first appearance of the general computing theory, a hundred years before an actual computer was built. Sadly, Lovelace died of cancer a decade after publishing the paper, and Babbage never built any of his machines. But do not despair! The Thrilling Adventures of Lovelace and Babbage presents a rollicking alternate reality in which Lovelace and Babbage do build the Difference Engine and then use it to build runaway economic models, battle the scourge of spelling errors, explore the wilder realms of mathematics, and, of course, fight crime—for the sake of both London and science. Complete with extensive footnotes that rival those penned by Lovelace herself, historical curiosities, and never-before-seen diagrams of Babbage’s mechanical, steam-powered computer, The Thrilling Adventures of Lovelace and Babbage is wonderfully whimsical, utterly unusual, and, above all, entirely irresistible.(With black-and-white illustrations throughout.)

    It’s no coincidence that geniuses not only dare to dream of the impossible for their work, but do the same for their lives. They’re audacious enough to think that they’re not just ordinary players. Few stories better illustrate this better than the life of the father of the modern world, a man of legendary imaginative power and wonder: Nikola Tesla.In this book, you’ll be taken on a whirlwind journey through Tesla’s life and work, and not only learn about the successes and mistakes of one of history’s greatest inventors, but also how to look at the world in a different, more imaginative way.Read this book now and learn lessons from Nikola Tesla on why imagination is so vital to awakening your inner genius, and insights into the real “secret” to creativity, as explained by people like Jobs, Picasso, Dali, and Twain.

    Between 1900 and 1907, she infected twenty-two New Yorkers with typhoid fever through her puddings and cakes; one of them died. Tracked down through epidemiological detective work, she was finally apprehended as she hid behind a barricade of trashcans. To protect the public's health, authorities isolated her on Manhattan's North Brother Island, where she died some thirty years later.This book tells the remarkable story of Mary Mallon--the real Typhoid Mary. Combining social history with biography, historian Judith Leavitt re-creates early-twentieth-century New York City, a world of strict class divisions and prejudice against immigrants and women. Leavitt engages the reader with the excitement of the early days of microbiology and brings to life the conflicting perspectives of journalists, public health officials, the law, and Mary Mallon herself.Leavitt's readable account illuminates dilemmas that continue to haunt us. To what degree are we willing to sacrifice individual liberty to protect the public's health? How far should we go in the age of AIDS, drug-resistant tuberculosis, and other diseases? For anyone who is concerned about the threats and quandaries posed by new epidemics, Typhoid Mary is a vivid reminder of the human side of disease and disease control.

    In Why Beauty Is Truth, world-famous mathematician Ian Stewart narrates the history of the emergence of this remarkable area of study. Stewart introduces us to such characters as the Renaissance Italian genius, rogue, scholar, and gambler Girolamo Cardano, who stole the modern method of solving cubic equations and published it in the first important book on algebra, and the young revolutionary Evariste Galois, who refashioned the whole of mathematics and founded the field of group theory only to die in a pointless duel over a woman before his work was published. Stewart also explores the strange numerology of real mathematics, in which particular numbers have unique and unpredictable properties related to symmetry. He shows how Wilhelm Killing discovered “Lie groups” with 14, 52, 78, 133, and 248 dimensions-groups whose very existence is a profound puzzle. Finally, Stewart describes the world beyond superstrings: the “octonionic” symmetries that may explain the very existence of the universe.

    Brenda Maddox tells a powerful story of a remarkably single-minded, forthright, and tempestuous young woman who, at the age of fifteen, decided she was going to be a scientist, but who was airbrushed out of the greatest scientific discovery of the twentieth century.

    One simply could not put a numerical value on the likelihood that a particular event would occur. Even the outcome of something as simple as a dice roll or the likelihood of showers instead of sunshine was thought to lie in the realm of pure, unknowable chance.The issue remained intractable until Blaise Pascal wrote to Pierre de Fermat in 1654, outlining a solution to the “unfinished game” problem: how do you divide the pot when players are forced to end a game of dice before someone has won? The idea turned out to be far more seminal than Pascal realized. From it, the two men developed the method known today as probability theory.In The Unfinished Game, mathematician and NPR commentator Keith Devlin tells the story of this correspondence and its remarkable impact on the modern world: from insurance rates, to housing and job markets, to the safety of cars and planes, calculating probabilities allowed people, for the first time, to think rationally about how future events might unfold.