With the stroke of a pen the Jesuit fathers banned the doctrine of infinitesimals, announcing that it could never be taught or even mentioned. The concept was deemed dangerous and subversive, a threat to the belief that the world was an orderly place, governed by a strict and unchanging set of rules. If infinitesimals were ever accepted, the Jesuits feared, the entire world would be plunged into chaos.In Infinitesimal, the award-winning historian Amir Alexander exposes the deep-seated reasons behind the rulings of the Jesuits and shows how the doctrine persisted, becoming the foundation of calculus and much of modern mathematics and technology. Indeed, not everyone agreed with the Jesuits. Philosophers, scientists, and mathematicians across Europe embraced infinitesimals as the key to scientific progress, freedom of thought, and a more tolerant society. As Alexander reveals, it wasn't long before the two camps set off on a war that pitted Europe's forces of hierarchy and order against those of pluralism and change.The story takes us from the bloody battlefields of Europe's religious wars and the English Civil War and into the lives of the greatest mathematicians and philosophers of the day, including Galileo and Isaac Newton, Cardinal Bellarmine and Thomas Hobbes, and Christopher Clavius and John Wallis. In Italy, the defeat of the infinitely small signaled an end to that land's reign as the cultural heart of Europe, and in England, the triumph of infinitesimals helped launch the island nation on a course that would make it the world's first modern state.From the imperial cities of Germany to the green hills of Surrey, from the papal palace in Rome to the halls of the Royal Society of London, Alexander demonstrates how a disagreement over a mathematical concept became a contest over the heavens and the earth. The legitimacy of popes and kings, as well as our beliefs in human liberty and progressive science, were at stake-the soul of the modern world hinged on the infinitesimal.

    Who invented zero? Why are there 60 seconds in a minute? Can a butterfly's wings really cause a storm on the far side of the world? In 50 concise essays, Professor Tony Crilly explains the mathematical concepts that allow use to understand and shape the world around us.

    Charles Darwin played a crucial part in turning heredity into a scientific question, and yet he failed spectacularly to answer it. The birth of genetics in the early 1900s seemed to do precisely that. Gradually, people translated their old notions about heredity into a language of genes. As the technology for studying genes became cheaper, millions of people ordered genetic tests to link themselves to missing parents, to distant ancestors, to ethnic identities. . . .But, Zimmer writes, "Each of us carries an amalgam of fragments of DNA, stitched together from some of our many ancestors. Each piece has its own ancestry, traveling a different path back through human history. A particular fragment may sometimes be cause for worry, but most of our DNA influences who we are--our appearance, our height, our penchants--in inconceivably subtle ways." Heredity isn't just about genes that pass from parent to child. Heredity continues within our own bodies, as a single cell gives rise to trillions of cells that make up our bodies. We say we inherit genes from our ancestors--using a word that once referred to kingdoms and estates--but we inherit other things that matter as much or more to our lives, from microbes to technologies we use to make life more comfortable. We need a new definition of what heredity is and, through Carl Zimmer's lucid exposition and storytelling, this resounding tour de force delivers it. Weaving historical and current scientific research, his own experience with his two daughters, and the kind of original reporting expected of one of the world's best science journalists, Zimmer ultimately unpacks urgent bioethical quandaries arising from new biomedical technologies, but also long-standing presumptions about who we really are and what we can pass on to future generations.

    In this book, he expands the points he has made, and claims that this debate is not so much about religion versus science, as about the nature of science itself. With infectious enthusiasm, he reveals the mechanics of evolutionary theory, explains how it is rooted in the testable and verifiable scientific method, and why it is therefore a sound explanation of our beginning. He argues passionately that to continue to assert otherwise, to continue to insist that creationism has a place in the science classroom is harmful not only to our children, but to the future of the greater world as well.

    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.

    Much as Brainiac offered a behind-the-scenes look at the little-known demimonde of competitive trivia buffs, Maphead finally gives equal time to that other downtrodden underclass: America's map nerds.In a world where geography only makes the headlines when college students are (endlessly) discovered to be bad at it, these hardy souls somehow thrive. Some crisscross the map working an endless geographic checklist: visiting all 3,143 U.S. counties, for example, or all 936 UNESCO World Heritage Sites. Some pore over million-dollar collections of the rarest maps of the past; others embrace the future by hunting real-world cartographic treasures like "geocaches" or "degree confluences" with GPS device in hand. Some even draw thousands of their own imaginary maps, lovingly detailing worlds that never were.Ken Jennings was a map nerd from a young age himself, you will not be surprised to learn, even sleeping with a bulky Hammond atlas at the side of his pillow, in lieu of the traditional Teddy bear. As he travels the nation meeting others of his tribe--map librarians, publishers, "roadgeeks," pint-sized National Geographic Bee prodigies, the computer geniuses behind Google Maps and other geo-technologies--he comes to admire these geographic obsessives. Now that technology and geographic illiteracy are increasingly insulating us from the lay of the land around us, we are going to be needing these people more than ever. Mapheads are the ones who always know exactly where they are--and where everything else is as well.

    It’s time we stand face-to-digital-face with the true powers and limitations of the algorithms that already automate important decisions in healthcare, transportation, crime, and commerce. Hello World is indispensable preparation for the moral quandaries of a world run by code, and with the unfailingly entertaining Hannah Fry as our guide, we’ll be discussing these issues long after the last page is turned.

    40 illustrations throughout.

    Yet this is the first book to tell the story of rain. Cynthia Barnett's  Rain begins four billion years ago with the torrents that filled the oceans, and builds to the storms of climate change. It weaves together science—the true shape of a raindrop, the mysteries of frog and fish rains—with the human story of our ambition to control rain, from ancient rain dances to the 2,203 miles of levees that attempt to straitjacket the Mississippi River. It offers a glimpse of our "founding forecaster," Thomas Jefferson, who measured every drizzle long before modern meteorology. Two centuries later, rainy skies would help inspire Morrissey’s mopes and Kurt Cobain’s grunge. Rain is also a travelogue, taking readers to Scotland to tell the surprising story of the mackintosh raincoat, and to India, where villagers extract the scent of rain from the monsoon-drenched earth and turn it into perfume. Now, after thousands of years spent praying for rain or worshiping it; burning witches at the stake to stop rain or sacrificing small children to bring it; mocking rain with irrigated agriculture and cities built in floodplains; even trying to blast rain out of the sky with mortars meant for war, humanity has finally managed to change the rain. Only not in ways we intended. As climate change upends rainfall patterns and unleashes increasingly severe storms and drought, Barnett shows rain to be a unifying force in a fractured world. Too much and not nearly enough, rain is a conversation we share, and this is a book for everyone who has ever experienced it.

     Is slipping on a banana peel really as hazardous to your health as the cartoons imply? Answer: Yes. Banana peels ooze a gel that turns out to be extremely slippery. Your foot and body weight provide the pressure. The gel provides the humor (and resulting head trauma). Can you die by shaking someone s hand? Answer: Yes. That's because, due to atomic repulsion, you've never actually touched another person s hand. If you could, the results would be as disastrous as a medium-sized hydrogen bomb. If you were Cookie Monster, just how many cookies could you actually eat in one sitting? Answer: Most stomachs can hold up to sixty cookies, or around four liters. If you eat or drink more than that, you re approaching the point at which the cookies would break through the lesser curvature of your stomach, and then you d better call an ambulance to Sesame Street."

    A twenty-eight year old — and not widely famous — Christopher Wren was giving a lecture on astronomy. As his audience listened to him speak, they decided that it would be a good idea to create a Society to promote the accumulation of useful knowledge.With that, the Royal Society was born. Since its birth, the Royal Society has pioneered scientific exploration and discovery. Isaac Newton, Charles Darwin, Albert Einstein, Robert Hooke, Robert Boyle, Joseph Banks, Humphry Davy, Isambard Kingdom Brunel, John Locke, Alexander Fleming — all were fellows.Bill Bryson’s favourite fellow was Reverend Thomas Bayes, a brilliant mathematician who devised Bayes’ theorem. Its complexity meant that it had little practical use in Bayes’ own lifetime, but today his theorem is used for weather forecasting, astrophysics and stock market analysis. A milestone in mathematical history, it only exists because the Royal Society decided to preserve it — just in case. The Royal Society continues to do today what it set out to do all those years ago. Its members have split the atom, discovered the double helix, the electron, the computer and the World Wide Web. Truly international in its outlook, it has created modern science.Seeing Further celebrates its momentous history and achievements, bringing together the very best of science writing. Filled with illustrations of treasures from the Society’s archives, this is a unique, ground-breaking and beautiful volume, and a suitable reflection of the immense achievements of science.

    It now has 600,000 to a million page hits daily. Every now and then, Munroe would get emails asking him to arbitrate a science debate. 'My friend and I were arguing about what would happen if a bullet got struck by lightning, and we agreed that you should resolve it . . . ' He liked these questions so much that he started up What If. If your cells suddenly lost the power to divide, how long would you survive? How dangerous is it, really, to be in a swimming pool in a thunderstorm? If we hooked turbines to people exercising in gyms, how much power could we produce? What if everyone only had one soulmate?When (if ever) did the sun go down on the British empire? How fast can you hit a speed bump while driving and live?What would happen if the moon went away?In pursuit of answers, Munroe runs computer simulations, pores over stacks of declassified military research memos, solves differential equations, and consults with nuclear reactor operators. His responses are masterpieces of clarity and hilarity, studded with memorable cartoons and infographics. They often predict the complete annihilation of humankind, or at least a really big explosion. Far more than a book for geeks, WHAT IF: Serious Scientific Answers to Absurd Hypothetical Questions explains the laws of science in operation in a way that every intelligent reader will enjoy and feel much the smarter for having read.

    Einstein's Heroes takes you on a journey of discovery about just such a miraculous language--the language of mathematics--one of humanity's mostamazing accomplishments. Blending science, history, and biography, this remarkable book reveals the mysteries of mathematics, focusing on the life and work of three of Albert Einstein's heroes: Isaac Newton, Michael Faraday, and especially James Clerk Maxwell, whose work directly inspired the theory of relativity. RobynArianrhod bridges the gap between science and literature, portraying mathematics as a language and arguing that a physical theory is a work of imagination involving the elegant and clever use of this language. The heart of the book illuminates how Maxwell, using the language of mathematics in a newand radical way, resolved the seemingly insoluble controversy between Faraday's idea of lines of force and Newton's theory of action-at-a-distance. In so doing, Maxwell not only produced the first complete mathematical description of electromagnetism, but actually predicted the existence of theradio wave, teasing it out of the mathematical language itself. Here then is a fascinating look at mathematics: its colorful characters, its historical intrigues, and above all its role as the uncannily accurate language of nature.

    Among the most compelling and perplexing of these symptoms are the strange visual hallucinations and distortions of space, time, and body image which migraineurs sometimes experience. Portrayals of these uncanny states have found their way into many works of art, from the heavenly visions of Hildegard von Bingen to Alice in Wonderland. Dr. Oliver Sacks argues that migraine cannot be understood simply as an illness, but must be viewed as a complex condition with a unique role to play in each individual's life.

    There are deep connections between stars and atoms, between the cosmos and the microworld. Just six numbers, imprinted in the "big bang," determine the essential features of our entire physical world. Moreover, cosmic evolution is astonishingly sensitive to the values of these numbers. If any one of them were "untuned," there could be no stars and no life. This realization offers a radically new perspective on our universe, our place in it, and the nature of physical laws.