In The Irrationals , the first popular and comprehensive book on the subject, Julian Havil tells the story of irrational numbers and the mathematicians who have tackled their challenges, from antiquity to the twenty-first century. Along the way, he explains why irrational numbers are surprisingly difficult to define--and why so many questions still surround them. That definition seems so simple: they are numbers that cannot be expressed as a ratio of two integers, or that have decimal expansions that are neither infinite nor recurring. But, as The Irrationals shows, these are the real "complex" numbers, and they have an equally complex and intriguing history, from Euclid's famous proof that the square root of 2 is irrational to Roger Apry's proof of the irrationality of a number called Zeta(3), one of the greatest results of the twentieth century. In between, Havil explains other important results, such as the irrationality of e and pi. He also discusses the distinction between "ordinary" irrationals and transcendentals, as well as the appealing question of whether the decimal expansion of irrationals is "random". Fascinating and illuminating, this is a book for everyone who loves math and the history behind it.

    This book can be cut, drawn in, folded into shapes and will even take you to the fourth dimension. So join stand-up mathematician Matt Parker on a journey through narcissistic numbers, optimal dating algorithms, at least two different kinds of infinity and more.

    Far from inheriting the throne, the orphaned boy-king had to endure the hostility and abuse of a nation. Two years later, the revolutionary leaders declared the young Louis XVII dead, prompting rumors of murder. No grave was dug, no monument built to mark his passing. Soon thereafter, the theory circulated that the prince had in fact escaped from prison and was still alive. Others believed that he had been killed, his heart preserved as a relic. The quest for the truth continued into the twenty-first century when, thanks to DNA testing, a stolen heart found within the royal tombs brought an exciting conclusion to the two-hundred-year-old mystery.A fascinating blend of royalist plots, palace intrigue, and modern science, The Lost King of France is a moving and dramatic tale that interweaves a pivotal moment in France's history with a compelling detective story.

    Crease tells the stories behind ten of the greatest equations in human history. Was Nobel laureate Richard Feynman really joking when he called Maxwell's electromagnetic equations the most significant event of the nineteenth century? How did Newton's law of gravitation influence young revolutionaries? Why has Euler's formula been called "God's equation," and why did a mysterious ecoterrorist make it his calling card? What role do betrayal, insanity, and suicide play in the second law of thermodynamics?The Great Equations tells the stories of how these equations were discovered, revealing the personal struggles of their ingenious originators. From "1 + 1 = 2" to Heisenberg's uncertainty principle, Crease locates these equations in the panoramic sweep of Western history, showing how they are as integral to their time and place of creation as are great works of art.

    Contains a detailed songbook and over 30 exclusive interviews with Björk's associates, family members, and industry professionals.

    It was a time of backward-seeming notions, when almost everyone still accepted the biblical account of creation as the literal truth and authoritarianism as the most natural and viable social order. But by the time both men died, the world had changed: ordinary people understood that life on earth was a story of continuous evolution, and the Civil War had proved that a democracy could fight for principles and endure. And with these signal insights much else had changed besides. Together, Darwin and Lincoln had become midwives to the spirit of a new world, a new kind of hope and faith.""Searching for the men behind the icons of emancipation and evolution, Adam Gopnik shows us, in this captivating double life, Lincoln and Darwin as they really were: family men and social climbers; ambitious manipulators and courageous adventurers; the living husband, father, son, and student behind each myth. How do we reconcile Lincoln, the supremely good man we know, with the hardened commander who wittingly sent tens of thousands of young soldiers to certain death? Why did the relentlessly rational Darwin delay publishing his "Great Idea" for almost twenty years? How did inconsolable grief at the loss of a beloved child change each man? And what comfort could either find - for himself or for a society now possessed of a sadder, if wiser, understanding of our existence? Such human questions and their answers are the stuff of this book."Above all, we see Lincoln and Darwin as thinkers and writers - as makers and witnesses of the great change in thought that marks truly modern times: a hundred years after the Enlightenment, the old rule of faith and fear finally yielding to one of reason, argument, and observation not merely as intellectual ideals but as a way of life; the judgment of divinity at last submitting to the verdicts of history and time. Lincoln considering human history, Darwin reflecting on deep time - both reshaped our understanding of what life is and how it attains meaning. And they invented a new language to express that understanding.Angels and Ages is an original and personal account of the creation of the liberal voice - of the way we live now and the way we talk at home and in public. Showing that literary eloquence is essential to liberal civilization, Adam Gopnik reveals why our heroes should be possessed by the urgency of utterance, obsessed by the need to see for themselves, and endowed with the gift to speak for us all.

    Evolution, during the early nineteenth century, was an idea in the air. Other thinkers had suggested it, but no one had proposed a cogent explanation for how evolution occurs. Then, in September 1838, a young Englishman named Charles Darwin hit upon the idea that "natural selection" among competing individuals would lead to wondrous adaptations and species diversity. Twenty-one years passed between that epiphany and publication of "On the Origin of Species," The human drama and scientific basis of Darwin's twenty-one-year delay constitute a fascinating, tangled tale that elucidates the character of a cautious naturalist who initiated an intellectual revolution. "The Reluctant Mr. Darwin" is a book for everyone who has ever wondered about who this man was and what he said. Drawing from Darwin's secret "transmutation" notebooks and his personal letters, David Quammen has sketched a vivid life portrait of the man whose work never ceases to be controversial.

    He proposes his solution.

    Gardner's illuminating autobiography is a candid self-portrait by the man evolutionary theorist Stephen Jay Gould called our single brightest beacon for the defense of rationality and good science against mysticism and anti-intellectualism.Gardner takes readers from his childhood in Oklahoma to his varied and wide-ranging professional pursuits. He shares colorful anecdotes about the many fascinating people he met and mentored, and voices strong opinions on the subjects that matter to him most, from his love of mathematics to his uncompromising stance against pseudoscience. For Gardner, our mathematically structured universe is undiluted hocus-pocus--a marvelous enigma, in other words.Undiluted Hocus-Pocus offers a rare, intimate look at Gardner's life and work, and the experiences that shaped both.

    When he emerged three years later, the summation of his efforts only hinted at what he'd experienced in one of the most dangerous regions on earth. Armed with an astonishing collection of zoological specimens, Du Chaillu leapt from the physical challenges of the jungle straight into the center of the biggest issues of the time--the evolution debate, racial discourse, the growth of Christian fundamentalism--and helped push each to unprecedented intensities. He experienced instant celebrity, but with that fame came whispers--about his past, his credibility, and his very identity--which would haunt the young man. Grand in scope, immediate in detail, and propulsively readable, Between Man and Beast brilliantly combines Du Chaillu's personal journey with the epic tale of a world hovering on the sharp edge of transformation.

    With Greene, Jordan let down his guard.In an extraordinary book that transcends sports biography, Greene takes the reader along with Jordan over two seasons with the Chicago Bulls, during glorious championship surges and trying personal moments. With rare insight, Greene reveals the person inside the icon: a man who makes millions but cannot go for a quiet walk around the block without getting mobbed, a man who competes ferociously on the court, but who performs some of his most remarkable and unexpected feats away from the limelight.Drawn from inside Michael Jordan's daily life, rich with the sound of Jordan's own voice, Hang Time is a startlingly candid and intimate story of time spent with a champion, and of the growing friendship between two men.

    What rises from these pages is a complex giant of a man: a hypochondriac with the constitution of an ox, a brutal tyrant who could easily shed tears, a convert to an extreme form of evangelical Protestantism who secularized schools and introduced civil divorce. Bismarck may have been in sheer ability the most intelligent man to direct a great state in modern times. His brilliance and insight dazzled his contemporaries. But all agreed there was also something demonic, diabolical, overwhelming, beyond human attributes, in Bismarck's personality. He was a kind of malign genius who, behind the various postures, concealed an ice-cold contempt for his fellow human beings and a drive to control and rule them. As one contemporary noted: the Bismarck regime was a constant orgy of scorn and abuse of mankind, collectively and individually.In this comprehensive and expansive biography--a brilliant study in power--Jonathan Steinberg brings Bismarck to life, revealing the stark contrast between the Iron Chancellor's unmatched political skills and his profoundly flawed human character.

    Snyder exposes the political passions, religious impulses, friendships, rivalries, and love of knowledge—and power—that drove these extraordinary men.  Whewell (who not only invented the word “scientist,” but also founded the fields of crystallography, mathematical economics, and the science of tides), Babbage (a mathematical genius who invented the modern computer), Herschel (who mapped the skies of the Southern Hemisphere and contributed to the invention of photography), and Jones (a curate who shaped the science of economics) were at the vanguard of the modernization of science.  This absorbing narrative of people, science and ideas  chronicles the intellectual revolution inaugurated by these men, one that continues to mold our understanding of the world around us and of our place within it.  Drawing upon the voluminous correspondence between the four men over the fifty years of their work, Laura J. Snyder shows how friendship worked to spur the men on to greater accomplishments, and how it enabled them to transform science and help create the modern world.

    Even when dealing with standard material, Stillwell manages to dramatize it and to make it worth rethinking. In short, his book is a splendid addition to the genre of works that build royal roads to mathematical culture for the many." (Mathematical Intelligencer)This second edition includes new chapters on Chinese and Indian number theory, on hypercomplex numbers, and on algebraic number theory. Many more exercises have been added, as well as commentary to the exercises explaining how they relate to the preceding section, and how they foreshadow later topics.

    In Empires of Light, historian Jill Jonnes portrays this extraordinary trio and their riveting and ruthless world of cutting-edge science, invention, intrigue, money, death, and hard-eyed Wall Street millionaires. At the heart of the story are Thomas Alva Edison, the nation’s most famous and folksy inventor, creator of the incandescent light bulb and mastermind of the world’s first direct current electrical light networks; the Serbian wizard of invention Nikola Tesla, elegant, highly eccentric, a dreamer who revolutionized the generation and delivery of electricity; and the charismatic George Westinghouse, Pittsburgh inventor and tough corporate entrepreneur, an industrial idealist who in the era of gaslight imagined a world powered by cheap and plentiful electricity and worked heart and soul to create it. Edison struggled to introduce his radical new direct current (DC) technology into the hurly-burly of New York City as Tesla and Westinghouse challenged his dominance with their alternating current (AC), thus setting the stage for one of the eeriest feuds in American corporate history, the War of the Electric Currents. The battlegrounds: Wall Street, the 1893 Chicago World’s Fair, Niagara Falls, and, finally, the death chamber - Jonnes takes us on the tense walk down a prison hallway and into the sunlit room where William Kemmler, convicted ax murderer, became the first man to die in the electric chair. Empires of Light is the gripping history of electricity, the “mysterious fluid,” and how the fateful collision of Edison, Tesla, and Westinghouse left the world utterly transformed.