In this collection of landmark mathematical works, editor Stephen Hawking has assembled the greatest feats humans have ever accomplished using just numbers and their brains.

    Subrahmanyan Chandrasekhar--Chandra, as he was called--calculated that certain stars would suffer a strange and violent death, collapsing to virtually nothing. This extraordinary claim, the first mathematical description of black holes, brought Chandra into direct conflict with Sir Arthur Eddington, one of the greatest astrophysicists of the day. Eddington ridiculed the young man's idea at a meeting of the Royal Astronomy Society in 1935, sending Chandra into an intellectual and emotional tailspin--and hindering the progress of astrophysics for nearly forty years. Empire of the Stars is the dramatic story of this intellectual debate and its implications for twentieth-century science. Arthur I. Miller traces the idea of black holes from early notions of "dark stars" to the modern concepts of wormholes, quantum foam, and baby universes. In the process, he follows the rise of two great theories--relativity and quantum mechanics--that meet head on in black holes. Empire of the Stars provides a unique window into the remarkable quest to understand how stars are born, how they live, and, most portentously (for their fate is ultimately our own), how they die. It is also the moving tale of one man's struggle against the establishment--an episode that sheds light on what science is, how it works, and where it can go wrong. Miller exposes the deep-seated prejudices that plague even the most rational minds. Indeed, it took the nuclear arms race to persuade scientists to revisit Chandra's work from the 1930s, for the core of a hydrogen bomb resembles nothing so much as an exploding star. Only then did physicists realize the relevance, truth, and importance of Chandra's work, which was finally awarded a Nobel Prize in 1983. Set against the waning days of the British Empire and taking us right up to the present, this sweeping history examines the quest to understand one of the most forbidding phenomena in the universe, as well as the passions that fueled that quest over the course of a century.

    He asked them to disclose something that, for scientific reasons, worries them—particularly scenarios that aren't on the popular radar yet. Encompassing neuroscience, economics, philosophy, physics, psychology, biology, and more—here are 150 ideas that will revolutionize your understanding of the world.Steven Pinker uncovers the real risk factors for war * Mihaly Csikszentmihalyi peers into the coming virtual abyss * Nobel laureate Frank Wilczek laments our squandered opportunities to prevent global catastrophe * Seth Lloyd calculates the threat of a financial black hole * Alison Gopnik on the loss of childhood * Nassim Nicholas Taleb explains why firefighters understand risk far better than economic "experts" * Matt Ridley on the alarming re-emergence of superstition * Daniel C. Dennett and george dyson ponder the impact of a major breakdown of the Internet * Jennifer Jacquet fears human-induced damage to the planet due to "the Anthropocebo Effect" * Douglas Rushkoff fears humanity is losing its soul * Nicholas Carr on the "patience deficit" * Tim O'Reilly foresees a coming new Dark Age * Scott Atran on the homogenization of human experience * Sherry Turkle explores what's lost when kids are constantly connected * Kevin Kelly outlines the looming "underpopulation bomb" * Helen Fisher on the fate of men * Lawrence Krauss dreads what we don't know about the universe * Susan Blackmore on the loss of manual skills * Kate Jeffery on the death of death * plus J. Craig Venter, Daniel Goleman, Virginia Heffernan, Sam Harris, Brian Eno, Martin Rees, and more

    Thus began one of the boldest scientific projects in history, the Search for Extraterrestrial Intelligence (SETI). But after a half century of scanning the skies, astronomers have little to report but an eerie silence—eerie because many scientists are convinced that the universe is teeming with life. The problem, argues the leading physicist-astrobiologist Paul Davies, is that we’ve been looking in the wrong place, at the wrong time & in the wrong way. Davies should know. For more than three decades, he's been closely involved with SETI & now chairs its Post-Detection Taskgroup, charged with deciding what to do if we’re confronted with evidence of alien intelligence. In this extraordinary book, he shows how SETI has lost its edge & offers a new exciting road map for the future. Davies believes our search so far has been overly anthropocentric: we tend to assume an alien species will look, think & behave like us. He argues that we need to be far more expansive in our efforts, & in this book he completely redefines the search, challenging existing ideas of what form an alien intelligence might take, how it might try to communicate with us & how we should respond if it does. A provocative & mind-expanding journey, The Eerie Silence will thrill fans of science & science fiction alike.

    It’s actually an innovative way to understand chaos theory, and the remarkable complexity of modern professional football.   In Newton’s Football, journalist and New York Times bestselling author Allen St. John and TED Speaker and former Yale professor Ainissa Ramirez explore the unexpected science behind America’s Game. Whether it’s Jerry Rice finding the common ground between quantum physics and the West Coast offense or an Ivy League biologist explaining—at a granular level—exactly how a Big Mac morphs into an outside linebacker, Newton’s Football illuminates football—and science—through funny, insightful stories told by some of the world’s sharpest minds.   With a clear-eyed empirical approach—and an exuberant affection for the game—St. John and Ramirez address topics that have long beguiled scientists and football fans alike, including:   • the unlikely evolution of the football (or, as they put it, “The Divinely Random Bounce of the Prolate Spheroid”) • what Vince Lombardi has in common with Isaac Newton • how the hardwired behavior of monkeys can explain a head coach’s reluctance to go for it on fourth-down • why a gruesome elevator accident jump-started the evolution of placekicking • how Teddy Roosevelt saved football using the same behavioral science concept that Dreamworks would use to save Shrek • why woodpeckers don’t get concussions • how better helmets actually made the game more dangerous   Every Sunday the NFL shares a secret with only its savviest fans: The game isn’t just a clash of bodies, it’s a clash of ideas. The greatest minds in football have always possessed an instinctual grasp of science, understanding the big ideas and gritty realities that inform the game’s rich past, as well as its increasingly uncertain future.   Blending smart reporting, counterintuitive creativity, and compelling narrative, Newton’s Football takes gridiron analysis to the next level, giving fans a book that entertains, enlightens, and explains the game anew.Praise for Newton’s Football “It was with great interest that I read Newton’s Football. I’m a fan of applying of science to sport and Newton’s Football truly delivers. The stories are as engaging as they are informative. This is a great read for all football fans.”—Mark Cuban“A delightfully improbable book putting science nerds and sports fans on the same page.”—Booklist   “This breezily-written but informative book should pique the interest of any serious football fan in the twenty-first century.”—The American Spectator   “The authors have done a worthy job of combining popular science and sports into a work that features enough expertise on each topic to satisfy nerds and jocks alike. . . . The writers succeed in their task thanks to in-depth scientific knowledge, a wonderful grasp of football’s past and present, interviews with a wide array of experts, and witty prose. . . . [Newton’s Football is] fun and thought-provoking, proving that football is a mind game as much as it is a ball game.”—Publishers Weekly

    Einstein famously quipped that God does not play dice with the universe, and Schrödinger is equally well known for his thought experiment about the cat in the box who ends up “spread out” in a probabilistic state, neither wholly alive nor wholly dead. Both of these famous images arose from these two men’s dissatisfaction with quantum weirdness and with their assertion that underneath it all, there must be some essentially deterministic world. Even though it was Einstein’s own theories that made quantum mechanics possible, both he and Schrödinger could not bear the idea that the universe was, at its most fundamental level, random.As the Second World War raged, both men struggled to produce a theory that would describe in full the universe’s ultimate design, first as collaborators, then as competitors. They both ultimately failed in their search for a Grand Unified Theory—not only because quantum mechanics is true, but because Einstein and Schrödinger were also missing a key component: of the four forces we recognize today (gravity, electromagnetism, the weak force, and the strong force), only gravity and electromagnetism were known at the time.Despite their failures, though, much of modern physics remains focused on the search for a Grand Unified Theory. As Halpern explains, the recent discovery of the Higgs Boson makes the Standard Model—the closest thing we have to a unified theory—nearly complete. And while Einstein and Schrödinger tried and failed to explain everything in the cosmos through pure geometry, the development of string theory has, in its own quantum way, brought this idea back into vogue. As in so many things, even when he was wrong, Einstein couldn’t help but be right.

    Many times we’ve even heard pundits say “I am not a scientist” to avoid the issue altogether. But the truth is, the basic science is not that difficult. Using a question and answer format, this book will help readers achieve three major goals: To see that anyone can understand the basic science of global warming;  To understand the arguments about this issue made by skeptics, so that readers will be able to decide for themselves what to believe; To understand why, despite the “gloom and doom” that often surrounds this topic, the solutions are ones that will not only protect the world for our children and grandchildren, but that will actually lead us to a stronger economy with energy that is cheaper, cleaner, and more abundant than the energy we use today.

    1: Elementary Theory and Problems contains the essential material that is usually covered in required courses of strength of materials in our engineering schools. Strength of Materials - Part. 2: Advanced Theory and Problems contains the later developments that are of practical importance in the fields of strength of materials, and theory of elasticity. Complete derivations of problems of practical interest are given in most cases. The books are illustrated with a number of problems to which solutions are presented. In many cases, the problems are chosen so as to widen the field covered by the text and to illustrate the application of the theory in the solution of design problems.

    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.

    The atomic bombs that came out of it brought an end to the war in the Pacific, but at a heavy loss of life in Japan and the opening of a Pandora's box that has tested international relations.This book traces the history of the Manhattan Project, from the first glimmerings of the possibility of such a catastrophic weapon to the aftermath of the bombings of Hiroshima and Nagasaki. It profiles the architects of the bomb and how they tried to reconcile their personal feelings with their ambition as scientists. It looks at the role of the politicians and it includes first-hand accounts of those who experienced the effects of the bombings.

    Linnea Smith went to Peru on an ecotourism vacation. She was so moved that she abandoned her thriving medical practice in Wisconsin to serve the Yagua Indians in the deepest part of the Amazon rainforest of Peru-alone.Taken straight from the pages of Dr. Smith’s journal, La Doctora offers readers a rare glimpse into the suspense and drama of practicing medicine in a culture far removed from the sophisticated supplies and supports of 20th-century medicine.Learn how Dr. Smith evolved from a “strange white woman” to an adopted member of the indigenous community. Her story of adventure, self-discovery and service creates inspiring testimony to one person’s power to make a lasting difference.

    We often overlook the historical link between mathematics and technological advances, says Stewart—but this connection is integral to any complete understanding of human history.Equations are modeled on the patterns we find in the world around us, says Stewart, and it is through equations that we are able to make sense of, and in turn influence, our world. Stewart locates the origins of each equation he presents—from Pythagoras's Theorem to Newton's Law of Gravity to Einstein's Theory of Relativity—within a particular historical moment, elucidating the development of mathematical and philosophical thought necessary for each equation's discovery. None of these equations emerged in a vacuum, Stewart shows; each drew, in some way, on past equations and the thinking of the day. In turn, all of these equations paved the way for major developments in mathematics, science, philosophy, and technology. Without logarithms (invented in the early 17th century by John Napier and improved by Henry Briggs), scientists would not have been able to calculate the movement of the planets, and mathematicians would not have been able to develop fractal geometry. The Wave Equation is one of the most important equations in physics, and is crucial for engineers studying the vibrations in vehicles and the response of buildings to earthquakes. And the equation at the heart of Information Theory, devised by Claude Shannon, is the basis of digital communication today.An approachable and informative guide to the equations upon which nearly every aspect of scientific and mathematical understanding depends, In Pursuit of the Unknown is also a reminder that equations have profoundly influenced our thinking and continue to make possible many of the advances that we take for granted.

    Coated in red dust, the terrain is bewilderingly empty. And yet multiple spacecraft are circling Mars, sweeping over Terra Sabaea, Syrtis Major, the dunes of Elysium, and Mare Sirenum—on the brink, perhaps, of a staggering find, one that would inspire humankind as much as any discovery in the history of modern science.In this beautifully observed, deeply personal book, Georgetown scientist Sarah Stewart Johnson tells the story of how she and other researchers have scoured Mars for signs of life, transforming the planet from a distant point of light into a world of its own.Johnson’s fascination with Mars began as a child in Kentucky, turning over rocks with her father and looking at planets in the night sky. She now conducts fieldwork in some of Earth’s most hostile environments, such as the Dry Valleys of Antarctica and the salt flats of Western Australia, developing methods for detecting life on other worlds. Here, with poetic precision, she interlaces her own personal journey—as a female scientist and a mother—with tales of other seekers, from Percival Lowell, who was convinced that a utopian society existed on Mars, to Audouin Dollfus, who tried to carry out astronomical observations from a stratospheric balloon. In the process, she shows how the story of Mars is also a story about Earth: This other world has been our mirror, our foil, a telltale reflection of our own anxieties and yearnings.Empathetic and evocative, The Sirens of Mars offers an unlikely natural history of a place where no human has ever set foot, while providing a vivid portrait of our quest to defy our isolation in the cosmos.