The ancient Greeks were so horrified by the implications of an endless number that they drowned the man who gave away the secret. And a German mathematician was driven mad by the repercussions of his discovery of transfinite numbers. Brian Clegg and Oliver Pugh’s brilliant graphic tour of infinity features a cast of characters ranging from Archimedes and Pythagoras to al-Khwarizmi, Fibonacci, Galileo, Newton, Leibniz, Cantor, Venn, Gödel and Mandelbrot, and shows how infinity has challenged the finest minds of science and mathematics. Prepare to enter a world of paradox.

    Having just completed his masterpiece, The General Theory of Relativity—which provided a brand-new theory of gravity and promised a new perspective on the cosmos as a whole—he set out at once to share his excitement with as wide a public as possible in this popular and accessible book.Here published for the first time as a Penguin Classic, this edition of Relativity features a new introduction by bestselling science author Nigel Calder.

      “An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.”—Nina MacLaughlin, Boston Globe “Engaging, eminently readable . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading.”—Judith Goodstein, American Scientist  Harvard geometer and Fields medalist Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers readers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics.

    Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science.

    In an era when women were rarely permitted any serious schooling, this twenty-seven-year-old’s nimble conversation and unusual brilliance led Voltaire, then in his late thirties, to wonder, “Why did you only reach me so late?” They fell immediately and passionately in love.Through the prism of their tumultuous fifteen-year relationship we see the crumbling of an ancient social order and the birth of the Enlightenment. Together the two lovers rebuilt a dilapidated and isolated rural chateau at Cirey where they conducted scientific experiments, entertained many of the leading thinkers of the burgeoning scientific revolution, and developed radical ideas about the monarchy, the nature of free will, the subordination of women, and the separation of church and state. But their time together was filled with far more than reading and intellectual conversation. There were frantic gallopings across France, sword fights in front of besieged German fortresses, and a deadly burning of Voltaire’s books by the public executioner at the base of the grand stairwell of the Palais de Justice in Paris. The pair survived court intrigues at Versailles, narrow escapes from agents of the king, a covert mission to the idyllic lakeside retreat of Frederick the Great of Prussia, forays to the royal gambling tables (where Emilie put her mathematical acumen to lucrative use), and intense affairs that bent but did not break their bond.Along with its riveting portrait of Voltaire as a vulnerable romantic, Passionate Minds at last does justice to the supremely unconventional life and remarkable achievements of Emilie du Châtelet—including her work on the science of fire and the nature of light. Long overlooked, her story tells us much about women’s lives at the time of the Enlightenment. Equally important, it demonstrates how this graceful, quick-witted, and attractive woman worked out the concepts that would lead directly to the “squared” part of Einstein’s revolutionary equation: E=mc2.Based on a rich array of personal letters, as well as writings from houseguests, neighbors, scientists, and even police reports, Passionate Minds is both panoramic and intimate in feeling. It is an unforgettable love story and a vivid rendering of the birth of modern ideas.

    In this small volume, Miranda Lundy presents a unique introduction to this most ancient and timeless of universal sciences.Sacred Geometry demonstrates what happens to space in two dimensions - a subject last flowering in the art, science and architecture of the Renaissance and seen in the designs of Stonehenge, mosque decorations and church windows. With exquisite hand-drawn images throughout showing the relationship between shapes, the patterns of coin circles, and the definition of the golden section, it will forever alter the way in which you look at a triangle, hexagon, arch, or spiral.

    We are bombarded with more information each day than our brains can process—especially in election season. It's raining bad data, half-truths, and even outright lies. New York Times bestselling author Daniel J. Levitin shows how to recognize misleading announcements, statistics, graphs, and written reports revealing the ways lying weasels can use them. It's becoming harder to separate the wheat from the digital chaff. How do we distinguish misinformation, pseudo-facts, distortions, and outright lies from reliable information? Levitin groups his field guide into two categories—statistical infomation and faulty arguments—ultimately showing how science is the bedrock of critical thinking. Infoliteracy means understanding that there are hierarchies of source quality and bias that variously distort our information feeds via every media channel, including social media. We may expect newspapers, bloggers, the government, and Wikipedia to be factually and logically correct, but they so often aren't. We need to think critically about the words and numbers we encounter if we want to be successful at work, at play, and in making the most of our lives. This means checking the plausibility and reasoning—not passively accepting information, repeating it, and making decisions based on it. Readers learn to avoid the extremes of passive gullibility and cynical rejection. Levitin's charming, entertaining, accessible guide can help anyone wake up to a whole lot of things that aren't so. And catch some lying weasels in their tracks!

    Petr Beckmann holds up this mirror, giving the background of the times when pi made progress -- and also when it did not, because science was being stifled by militarism or religious fanaticism.

    As we enter the year 2000, zero is once again making its presence felt. Nothing itself, it makes possible a myriad of calculations. Indeed, without zero mathematicsas we know it would not exist. And without mathematics our understanding of the universe would be vastly impoverished. But where did this nothing, this hollow circle, come from? Who created it? And what, exactly, does it mean? Robert Kaplan's The Nothing That Is: A Natural History of Zero begins as a mystery story, taking us back to Sumerian times, and then to Greece and India, piecing together the way the idea of a symbol for nothing evolved. Kaplan shows us just how handicapped our ancestors were in trying to figurelarge sums without the aid of the zero. (Try multiplying CLXIV by XXIV). Remarkably, even the Greeks, mathematically brilliant as they were, didn't have a zero--or did they? We follow the trail to the East where, a millennium or two ago, Indian mathematicians took another crucial step. By treatingzero for the first time like any other number, instead of a unique symbol, they allowed huge new leaps forward in computation, and also in our understanding of how mathematics itself works. In the Middle Ages, this mathematical knowledge swept across western Europe via Arab traders. At first it was called dangerous Saracen magic and considered the Devil's work, but it wasn't long before merchants and bankers saw how handy this magic was, and used it to develop tools likedouble-entry bookkeeping. Zero quickly became an essential part of increasingly sophisticated equations, and with the invention of calculus, one could say it was a linchpin of the scientific revolution. And now even deeper layers of this thing that is nothing are coming to light: our computers speakonly in zeros and ones, and modern mathematics shows that zero alone can be made to generate everything.Robert Kaplan serves up all this history with immense zest and humor; his writing is full of anecdotes and asides, and quotations from Shakespeare to Wallace Stevens extend the book's context far beyond the scope of scientific specialists. For Kaplan, the history of zero is a lens for looking notonly into the evolution of mathematics but into very nature of human thought. He points out how the history of mathematics is a process of recursive abstraction: how once a symbol is created to represent an idea, that symbol itself gives rise to new operations that in turn lead to new ideas. Thebeauty of mathematics is that even though we invent it, we seem to be discovering something that already exists.The joy of that discovery shines from Kaplan's pages, as he ranges from Archimedes to Einstein, making fascinating connections between mathematical insights from every age and culture. A tour de force of science history, The Nothing That Is takes us through the hollow circle that leads to infinity.

    Tobias Dantzig shows that the development of math—from the invention of counting to the discovery of infinity—is a profoundly human story that progressed by “trying and erring, by groping and stumbling.” He shows how commerce, war, and religion led to advances in math, and he recounts the stories of individuals whose breakthroughs expanded the concept of number and created the mathematics that we know today.

     This is not your typical tinnitus book offering some “miracle cure”. It’s about changing your emotional, physical, and psychological response to the sound, with actionable techniques and specific exercises, so you can finally start to tune it out. It’s about tracking your diet, lifestyle, environment, and health to identify exactly what causes your tinnitus to spike. It’s about improving your overall health, getting better sleep, and reducing the massive amounts of stress and anxiety that tinnitus sufferers deal with on a daily basis. Too many people have been told they just have to "live with it." Too many people have been let down by emotionless doctors and "conventional" or "false" treatments. Too many people have suffered for far too long. It’s time for a change. It's time you found relief. Glenn Schweitzer was 24 years old when a rare, incurable inner ear disorder caused him to develop severe tinnitus. It disrupted nearly every aspect of his life. But today, his tinnitus no longer bothers him at all. Completely by accident, he stumbled on to simple techniques that radically rewired his mental, emotional, and physiological response to the sound.  Through Glenn’s terrifying, yet inspiring story, and with dozens of actionable techniques and tools, you can finally find the relief you deserve, too. You will learn specific techniques to reduce your tinnitus, as well as concrete steps to dramatically improve your quality of life. It may not go away entirely, but it can stop bothering you.  There isn’t a cure for tinnitus, but there is a way forward. You can live in harmony with the sound.

    More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections. It ties together everything from basic arithmetic to compound interest, the circumference of a circle, trigonometry, calculus, and even infinity. In David Stipp's hands, Euler's identity formula becomes a contemplative stroll through the glories of mathematics. The result is an ode to this magical field.

    He shows that the scientists of ancient and medieval times not only did not understand what we understand about the world—they did not understand what there is to understand, or how to understand it. Yet over the centuries, through the struggle to solve such mysteries as the curious backward movement of the planets and the rise and fall of the tides, the modern discipline of science eventually emerged. Along the way, Weinberg examines historic clashes and collaborations between science and the competing spheres of religion, technology, poetry, mathematics, and philosophy.An illuminating exploration of the way we consider and analyze the world around us, To Explain the World is a sweeping, ambitious account of how difficult it was to discover the goals and methods of modern science, and the impact of this discovery on human knowledge and development.

    And, should you ever get to hold one, you will find the human heart to be rubbery and shockingly light.'What Could Possibly Go Wrong? is a report from the front line of emergency medicine, the first ever account of what it is like to work as an air ambulance doctor. Whether describing cutting through a patient's breastbone to plug a stab wound or barrel rolling a light aircraft at 5,000 feet, Tony Bleetman captures the sheer adrenaline of racing through the sky to save lives. You will learn how to land a helicopter on the side of a mountain, what it means to encounter death every day, and how to perform a tracheotomy in real life (clue: it doesn’t involve a ball-point pen).Funny, shocking and moving, What Could Possibly Go Wrong? is a glimpse at a world where the wrong decision can mean the difference between life and death.Originally published as You Can't Park There: The Highs and Lows of an Air Ambulance Doctor.

    Alternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world.