Now he brings his considerable talents to the history of one of math's most enduring puzzles: the seemingly paradoxical nature of infinity.Is infinity a valid mathematical property or a meaningless abstraction? The nineteenth-century mathematical genius Georg Cantor's answer to this question not only surprised him but also shook the very foundations upon which math had been built. Cantor's counterintuitive discovery of a progression of larger and larger infinities created controversy in his time and may have hastened his mental breakdown, but it also helped lead to the development of set theory, analytic philosophy, and even computer technology.Smart, challenging, and thoroughly rewarding, Wallace's tour de force brings immediate and high-profile recognition to the bizarre and fascinating world of higher mathematics.

    Hardy, in the years before World War I. Through their eyes the reader is taken on a journey through numbers theory. Ramanujan would regularly telescope 12 steps of logic into two - the effect is said to be like Dr Watson in the train of some argument by Sherlock Holmes. The language of symbols and infinitely large (and small) regions of mathematics should be rendered with clarity for the general reader.

    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.

    Born the illegitimate daughter of an aristocratic Russian emigree she was a cross-dresser and sensualist, an experienced drug-taker and a transgressor of boundaries: a European reborn in the desert as an Arab and Muslim, a woman who reinvented herself as a man, wandering the Sahara on horseback. A profoundly lonely individual for all her numerous sexual adventures, she roused controversy and was loved and hated in equal measure. A mysterious attempt was made on her life and even her eventual death was ambiguous: she drowned in the desert at the age of twenty-seven. La bonne nomade, Isabelle’s diaries, is a fascinating account of her strange and passionate nomadic lifestyle; an evocative and deeply personal record of her torments, her search for inspiration as a writer, her spirituality and the intense color and fire of her living.

    In Everything All At Once, the New York Times bestselling author issues a call to arms meant to rouse everyone to become the change they want to see in the world. Whether addressing global warming, social change, or personal success, there are certain strategies that always get results: looking at the world with radical curiosity, being driven by a desire for a better future, and being willing to take the actions needed to make change a reality.With his signature humor and storytelling, Bill shares how he has developed specific techniques for what he calls the "everything all at once" lifestyle, from his childhood scouting adventures and his career at aerospace companies to the development of his famous Science Guy television show. This approach requires the nerd mindset: a way of thinking that leaves no stone unturned. It's about learning to solve problems through exploration, trial and error, and sheer creativity. Problem solving is a skill that anyone can harness to create change, and Bill Nye is here to show us how to sort out problems, recognize solutions, and join him in changing the world.

    Anatomy matters, Alice Domurat Dreger tells us, because the senses we possess, the muscles we control, and the resources we require to keep our bodies alive limit and guide what we experience in any given context. Her deeply thought-provoking and compassionate work exposes the breadth and depth of that context--the extent of the social frame upon which we construct the normal. In doing so, the book calls into question assumptions about anatomy and normality, and transforms our understanding of how we are all intricately and inextricably joined.

    xn + yn = zn, where n represents 3, 4, 5, ...no solution"I have discovered a truly marvelous demonstration of this proposition which this margin is too narrow to contain."With these words, the seventeenth-century French mathematician Pierre de Fermat threw down the gauntlet to future generations.  What came to be known as Fermat's Last Theorem looked simple; proving it, however, became the Holy Grail of mathematics, baffling its finest minds for more than 350 years.  In Fermat's Enigma--based on the author's award-winning documentary film, which aired on PBS's "Nova"--Simon Singh tells the astonishingly entertaining story of the pursuit of that grail, and the lives that were devoted to, sacrificed for, and saved by it.  Here is a mesmerizing tale of heartbreak and mastery that will forever change your feelings about mathematics.

    Throughout her life Justice Ginsburg has been (and continues to be) a prolific writer and public speaker. This book’s sampling is selected by Justice Ginsburg and her authorized biographers Mary Hartnett and Wendy W. Williams. Justice Ginsburg has written an introduction to the book, and Hartnett and Williams introduce each chapter, giving biographical context and quotes gleaned from hundreds of interviews they have conducted. This is a fascinating glimpse into the life of one of America’s most influential women.

    For even as she sets out to determine how big “really big” may be, Levin gives us an intimate look at the day-to-day life of a globe-trotting physicist, complete with jet lag and romantic disturbances.Nimbly synthesizing geometry, topology, chaos and string theories, Levin shows how the pattern of hot and cold spots left over from the big bang may one day reveal the size and shape of the cosmos. She does so with such originality, lucidity—and even poetry—that How the Universe Got Its Spots becomes a thrilling and deeply personal communication between a scientist and the lay reader.

    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 1977, at the age of seventeen, Conway left his family's comfortable suburban home to move to the Appalachian Mountains. For more than two decades he has lived there, making fire with sticks, wearing skins from animals he has trapped, and trying to convince Americans to give up their materialistic lifestyles and return with him back to nature. To Gilbert, Conway's mythical character challenges all our assumptions about what it is to be a modern man in America; he is a symbol of much we feel how our men should be, but rarely are.

    Or the "Phantom of Fine Hall," a figure many students had seen shuffling around the corridors of the math and physics building wearing purple sneakers and writing numerology treatises on the blackboards. The Phantom was John Nash, one of the most brilliant mathematicians of his generation, who had spiraled into schizophrenia in the 1950s. His most important work had been in game theory, which by the 1980s was underpinning a large part of economics. When the Nobel Prize committee began debating a prize for game theory, Nash's name inevitably came up—only to be dismissed, since the prize clearly could not go to a madman. But in 1994 Nash, in remission from schizophrenia, shared the Nobel Prize in economics for work done some 45 years previously.Economist and journalist Sylvia Nasar has written a biography of Nash that looks at all sides of his life. She gives an intelligent, understandable exposition of his mathematical ideas and a picture of schizophrenia that is evocative but decidedly unromantic. Her story of the machinations behind Nash's Nobel is fascinating and one of very few such accounts available in print (the CIA could learn a thing or two from the Nobel committees).

    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.

    Patricia McConnell recounts for the first time the compelling story of her dark past, memories of which are triggered by a troubled dog named Will.World-renowned as a source of science and soul, Patricia McConnell combines brilliant insights into canine behavior—gained from her work with aggressive and fearful dogs—with heartwarming stories of her own dogs and their life on the farm. Now, she reveals that it wasn’t just the dogs who had serious problems. For decades Dr. McConnell secretly grappled with her own guilt and fear, which were rooted in the harrowing traumas of her youth. Patricia is forced to face her past by her love for a young Border Collie named Will, whose frequent, unpredictable outbreaks of fear and fury shake Patricia to her core. In order to save Will from this dangerous behavior, she must find her own will to heal, and along the way learn that will power by itself is not enough. Interweaving enlightening stories of her clients’ dogs with tales of her deepening bond with Will, Patricia recounts her fight to reclaim her life. Hopeful and inspiring, the redemptive message of her journey is that, while trauma changes our brains and the past casts a long shadow, healing, for both people and dogs, is possible through hard work, compassion, and mutual devotion.

    Here is Marcel Proust starting In Search of Lost Time and Virginia Woolf scribbling in the margin of her own writing, "Is it nonsense, or is it brilliance?" Fictional events that take place within beloved books are also included: the birth of Harry Potter's enemy Draco Malfoy, the blood-soaked prom in Stephen King's Carrie.A Reader's Book of Days is filled with memorable and surprising tales from the lives and works of Martin Amis, Jane Austen, James Baldwin, Roberto Bolano, the Bronte sisters, Junot Diaz, Philip K. Dick, Charles Dickens, Joan Didion, F. Scott Fitzgerald, John Keats, Hilary Mantel, Haruki Murakami, Flannery O'Connor, Orhan Pamuk, George Plimpton, Marilynne Robinson, W. G. Sebald, Dr. Seuss, Zadie Smith, Susan Sontag, Hunter S. Thompson, Leo Tolstoy, David Foster Wallace, and many more. The book also notes the days on which famous authors were born and died; it includes lists of recommended reading for every month of the year as well as snippets from book reviews as they appeared across literary history; and throughout there are wry illustrations by acclaimed artist Joanna Neborsky.Brimming with nearly 2,000 stories, A Reader's Book of Days will have readers of every stripe reaching for their favorite books and discovering new ones.