But there is one other motive which is as strong as any of these — the search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford." In this erudite, entertaining college-level text, Morris Kline, Professor Emeritus of Mathematics at New York University, provides the liberal arts student with a detailed treatment of mathematics in a cultural and historical context. The book can also act as a self-study vehicle for advanced high school students and laymen. Professor Kline begins with an overview, tracing the development of mathematics to the ancient Greeks, and following its evolution through the Middle Ages and the Renaissance to the present day. Subsequent chapters focus on specific subject areas, such as "Logic and Mathematics," "Number: The Fundamental Concept," "Parametric Equations and Curvilinear Motion," "The Differential Calculus," and "The Theory of Probability." Each of these sections offers a step-by-step explanation of concepts and then tests the student's understanding with exercises and problems. At the same time, these concepts are linked to pure and applied science, engineering, philosophy, the social sciences or even the arts.In one section, Professor Kline discusses non-Euclidean geometry, ranking it with evolution as one of the "two concepts which have most profoundly revolutionized our intellectual development since the nineteenth century." His lucid treatment of this difficult subject starts in the 1800s with the pioneering work of Gauss, Lobachevsky, Bolyai and Riemann, and moves forward to the theory of relativity, explaining the mathematical, scientific and philosophical aspects of this pivotal breakthrough. Mathematics for the Nonmathematician exemplifies Morris Kline's rare ability to simplify complex subjects for the nonspecialist.

    Taking as territory everything from the Big Bang to the rise of civilization, Bryson seeks to understand how we got from there being nothing at all to there being us. To that end, he has attached himself to a host of the world’s most advanced (and often obsessed) archaeologists, anthropologists, and mathematicians, travelling to their offices, laboratories, and field camps. He has read (or tried to read) their books, pestered them with questions, apprenticed himself to their powerful minds. A Short History of Nearly Everything is the record of this quest, and it is a sometimes profound, sometimes funny, and always supremely clear and entertaining adventure in the realms of human knowledge, as only Bill Bryson can render it. Science has never been more involving or entertaining.

    and remarkable powers of concentration, Bobby memorized hundreds of chess books in several languages, and he was only 13 when he became the youngest chess master in U.S. history.   But his strange behavior started early.  In 1972, at the historic Cold War showdown in Reykjavik, Iceland, where he faced Soviet champion Boris Spassky, Fischer made headlines with hundreds of petty demands that nearly ended the competition.  It was merely a prelude to what was to come. Arriving back in the United States to a hero’s welcome, Bobby was mobbed wherever he went—a figure as exotic and improbable as any American pop culture had yet produced.  No player of a mere “board game” had ever ascended to such heights.  Commercial sponsorship offers poured in, ultimately topping $10 million—but Bobby demurred.  Instead, he began tithing his limited money to an apocalyptic religion and devouring anti-Semitic literature.   After years of poverty and a stint living on Los Angeles’ Skid Row, Bobby remerged in 1992 to play Spassky in a multi-million dollar rematch—but the experience only deepened a paranoia that had formed years earlier when he came to believe that the Soviets wanted him dead for taking away “their” title.  When the dust settled, Bobby was a wanted man—transformed into an international fugitive because of his decision to play in Montenegro despite U.S. sanctions.  Fearing for his life, traveling with bodyguards, and wearing a long leather coat to ward off knife attacks, Bobby lived the life of a celebrity fugitive – one drawn increasingly to the bizarre.  Mafiosi, Nazis, odd attempts to breed an heir who could perpetuate his chess-genius DNA—all are woven into his late-life tapestry.  And yet, as Brady shows, the most notable irony of Bobby Fischer’s strange descent – which had reached full plummet by 2005 when he turned down yet another multi-million dollar payday—is that despite his incomprehensible behavior, there were many who remained fiercely loyal to him.  Why that was so is at least partly the subject of this book—one that at last answers the question: “Who was Bobby Fischer?”

    It would become the world's most baffling mathematical mystery. Simple, elegant, and utterly impossible to prove, Fermat's Last Theorem captured the imaginations of amateur and professional mathematicians for over three centuries. For some it became a wonderful passion. For others it was an obsession that led to deceit, intrigue, or insanity. In a volume filled with the clues, red herrings, and suspense of a mystery novel, Dr. Amir Aczel reveals the previously untold story of the people, the history, and the cultures that lie behind this scientific triumph. From formulas devised for the farmers of ancient Babylonia to the dramatic proof of Fermat's theorem in 1993, this extraordinary work takes us along on an exhilarating intellectual treasure hunt. Revealing the hidden mathematical order of the natural world in everything from stars to sunflowers, "Fermat's Last Theorem" brilliantly combines philosophy and hard science with investigative journalism. The result: a real-life detective story of the intellect, at once intriguing, thought-provoking, and impossible to put down.

    One of the most influential figures of the twentieth century, he transformed philosophy and can lay claim to being one of the greatest philosophers of all time. He was a Nobel Prize winner for Literature and was imprisoned several times as a result of his pacifism. His views on religion, education, sex, politics and many other topics, made him one of the most read and revered writers of the age. This, his autobiography, is one of the most compelling and vivid ever written. This one-volume, compact paperback edition contains an introduction by the politician and scholar, Michael Foot, which explores the status of this classic nearly 30 years after the publication of the final volume.

    Could she use quantum tunnelling to get through the neighbour's fence and chase bunnies? What about quantum teleportation to catch squirrels before they climb out of reach? In this witty and informative book, Orzel and Emmy - the talking dog - discuss the key theories of Quantum Physics and its fascinating history. From quarks and gluons to Heisenberg's uncertainty principle, this is the perfect introduction to the fundamental laws which govern the universe.

    1' is an intimate biography of the Natural History Museum, celebrating the eccentric personalities who have peopled it and capturing the wonders of scientific endeavour, academic rigour and imagination.

    Here he explains how our image of the world has changed throughout centuries. Fom Aristotle to Albert Einstein, Michael Faraday to the Higgs boson, he takes us on a wondrous journey to show us that beyond our ever-changing idea of reality is a whole new world that has yet to be discovered.

    He discovered the Conway groups in mathematical symmetry, and invented the aptly named surreal numbers, as well as the cult classic Game of Life--more than a cool fad, Life demonstrates how simplicity generates complexity and the game provides an analogy for all mathematics and the entire universe. Moving to Princeton in 1987, as a mathemagician he deployed cards, ropes, dice, coat hangers, and even the odd Slinky as props to extend his winning imagination and share his mathy obsessions with signature contagion. He is a jet-setting ambassador-at-large for the beauties of all things mathematical.Genius At Play is an intimate investigation into the mind of an endearing genius, laying bare Conway's personal and professional idiosyncrasies. The intimacy comes courtesy of the man himself. He generously granted Roberts full access, though not without the occasional grudge and grumble: "Oh hell," he'd say. "You're not going to put that in the book. Are you?!?

    Though the answers may seem simple, their profound implications make the prisoner's dilemma one of the great unifying concepts of science. Watching players bluff in a poker game inspired John von Neumann--father of the modern computer and one of the sharpest minds of the century--to construct game theory, a mathematical study of conflict and deception. Game theory was readily embraced at the RAND Corporation, the archetypical think tank charged with formulating military strategy for the atomic age, and in 1950 two RAND scientists made a momentous discovery.Called the prisoner's dilemma, it is a disturbing and mind-bending game where two or more people may betray the common good for individual gain. Introduced shortly after the Soviet Union acquired the atomic bomb, the prisoner's dilemma quickly became a popular allegory of the nuclear arms race. Intellectuals such as von Neumann and Bertrand Russell joined military and political leaders in rallying to the preventive war movement, which advocated a nuclear first strike against the Soviet Union. Though the Truman administration rejected preventive war the United States entered into an arms race with the Soviets and game theory developed into a controversial tool of public policy--alternately accused of justifying arms races and touted as the only hope of preventing them.A masterful work of science writing, Prisoner's Dilemma weaves together a biography of the brilliant and tragic von Neumann, a history of pivotal phases of the cold war, and an investigation of game theory's far-reaching influence on public policy today. Most important, Prisoner's Dilemma is the incisive story of a revolutionary idea that has been hailed as a landmark of twentieth-century thought.

    Weaving together his immersive interest in people and history with insights gathered from his own experiences, Stephen Wolfram gives an ennobling look at some of the individuals whose ideas and creations have helped shape our world today. Contents includes biographical sketches of: Richard Feynman Kurt Godel Alan Turing John von Neumann George Boole Ada Lovelace Gottfried Leibniz Benoit Mandelbrot Steve Jobs Marvin Minsky Russell Towle Bertrand Russell Alfred Whitehead Richard Crandall Srinivasa Ramanujan Solomon Golomb

    She was a poor Southern tobacco farmer who worked the same land as her enslaved ancestors, yet her cells—taken without her knowledge—became one of the most important tools in medicine. The first “immortal” human cells grown in culture, they are still alive today, though she has been dead for more than sixty years. If you could pile all HeLa cells ever grown onto a scale, they’d weigh more than 50 million metric tons—as much as a hundred Empire State Buildings. HeLa cells were vital for developing the polio vaccine; uncovered secrets of cancer, viruses, and the atom bomb’s effects; helped lead to important advances like in vitro fertilization, cloning, and gene mapping; and have been bought and sold by the billions.Yet Henrietta Lacks remains virtually unknown, buried in an unmarked grave.Now Rebecca Skloot takes us on an extraordinary journey, from the “colored” ward of Johns Hopkins Hospital in the 1950s to stark white laboratories with freezers full of HeLa cells; from Henrietta’s small, dying hometown of Clover, Virginia — a land of wooden quarters for enslaved people, faith healings, and voodoo — to East Baltimore today, where her children and grandchildren live and struggle with the legacy of her cells.Henrietta’s family did not learn of her “immortality” until more than twenty years after her death, when scientists investigating HeLa began using her husband and children in research without informed consent. And though the cells had launched a multimillion-dollar industry that sells human biological materials, her family never saw any of the profits. As Rebecca Skloot so brilliantly shows, the story of the Lacks family — past and present — is inextricably connected to the history of experimentation on African Americans, the birth of bioethics, and the legal battles over whether we control the stuff we are made of.Over the decade it took to uncover this story, Rebecca became enmeshed in the lives of the Lacks family—especially Henrietta’s daughter Deborah, who was devastated to learn about her mother’s cells. She was consumed with questions: Had scientists cloned her mother? Did it hurt her when researchers infected her cells with viruses and shot them into space? What happened to her sister, Elsie, who died in a mental institution at the age of fifteen? And if her mother was so important to medicine, why couldn’t her children afford health insurance?Intimate in feeling, astonishing in scope, and impossible to put down, The Immortal Life of Henrietta Lacks captures the beauty and drama of scientific discovery, as well as its human consequences.

    Now I’m letting my guard down.” —Hillary Rodham Clinton, from the introduction of What HappenedFor the first time, Hillary Rodham Clinton reveals what she was thinking and feeling during one of the most controversial and unpredictable presidential elections in history. Now free from the constraints of running, Hillary takes you inside the intense personal experience of becoming the first woman nominated for president by a major party in an election marked by rage, sexism, exhilarating highs and infuriating lows, stranger-than-fiction twists, Russian interference, and an opponent who broke all the rules. This is her most personal memoir yet. In these pages, she describes what it was like to run against Donald Trump, the mistakes she made, how she has coped with a shocking and devastating loss, and how she found the strength to pick herself back up afterward. With humor and candor, she tells readers what it took to get back on her feet—the rituals, relationships, and reading that got her through, and what the experience has taught her about life. She speaks about the challenges of being a strong woman in the public eye, the criticism over her voice, age, and appearance, and the double standard confronting women in politics. She lays out how the 2016 election was marked by an unprecedented assault on our democracy by a foreign adversary. By analyzing the evidence and connecting the dots, Hillary shows just how dangerous the forces are that shaped the outcome, and why Americans need to understand them to protect our values and our democracy in the future. The election of 2016 was unprecedented and historic. What Happened is the story of that campaign and its aftermath—both a deeply intimate account and a cautionary tale for the nation.

    Yet there’s a black hole at the heart of biology. We do not know why complex life is the way it is, or, for that matter, how life first began. In The Vital Question, award-winning author and biochemist Nick Lane radically reframes evolutionary history, putting forward a solution to conundrums that have puzzled generations of scientists.For two and a half billion years, from the very origins of life, single-celled organisms such as bacteria evolved without changing their basic form. Then, on just one occasion in four billion years, they made the jump to complexity. All complex life, from mushrooms to man, shares puzzling features, such as sex, which are unknown in bacteria. How and why did this radical transformation happen?The answer, Lane argues, lies in energy: all life on Earth lives off a voltage with the strength of a lightning bolt. Building on the pillars of evolutionary theory, Lane’s hypothesis draws on cutting-edge research into the link between energy and cell biology, in order to deliver a compelling account of evolution from the very origins of life to the emergence of multicellular organisms, while offering deep insights into our own lives and deaths.Both rigorous and enchanting, The Vital Question provides a solution to life’s vital question: why are we as we are, and indeed, why are we here at all?

    Hailed by readers and critics across the country, this engrossing biography of Mexican painter Frida Kahlo reveals a woman of extreme magnetism and originality, an artist whose sensual vibrancy came straight from her own experiences: her childhood near Mexico City during the Mexican Revolution; a devastating accident at age eighteen that left her crippled and unable to bear children; her tempestuous marriage to muralist Diego Rivera and intermittent love affairs with men as diverse as Isamu Noguchi and Leon Trotsky; her association with the Communist Party; her absorption in Mexican folklore and culture; and her dramatic love of spectacle.Here is the tumultuous life of an extraordinary twentieth-century woman -- with illustrations as rich and haunting as her legend.