In the twenty-first century, the debate about life on other worlds is quickly changing from the realm of speculation to the domain of hard science. Within a few years, as a consequence of the rapid discovery by astronomers of planets around other stars, astronomers very likely will have discovered clear evidence of life beyond the Earth. Such a discovery of extraterrestrial life will change everything. Knowing the answer as to whether humanity has company in the universe will trigger one of the greatest intellectual revolutions in history, not the least of which will be a challenge for at least some terrestrial religions. Which religions will handle the discovery of extraterrestrial life with ease and which will struggle to assimilate this new knowledge about our place in the universe? Some religions as currently practiced appear to only be viable on Earth. Other religions could be practiced on distant worlds but nevertheless identify both Earth as a place and humankind as a species of singular spiritual religious importance, while some religions could be practiced equally well anywhere in the universe by any sentient beings. Weintraub guides readers on an invigorating tour of the world’s most widely practiced religions. It reveals what, if anything, each religion has to say about the possibility that extraterrestrial life exists and how, or if, a particular religion would work on other planets in distant parts of the universe.
This treatment examines the general theory of the integral, Lebesque integral in n-space, the Riemann-Stieltjes integral, and more. "The exposition is fresh and sophisticated, and will engage the interest of accomplished mathematicians." — Sci-Tech Book News. 1966 edition.
"Tells the story of how astronomers solved one of the most compelling mysteries in science and, along the way, introduces readers to fundamental concepts and cutting-edge advances in modern astronomy"--From publisher description.
In the bestselling tradition of Freakonomics and Scorecasting comes a clever and accessible look at the big ideas underlying the science of football. Did you hear the one about the MacArthur genius physicist and the NFL coach? It’s not a joke. 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
What do Bach's compositions, Rubik's Cube, the way we choose our mates, and the physics of subatomic particles have in common? All are governed by the laws of symmetry, which elegantly unify scientific and artistic principles. Yet the mathematical language of symmetry-known as group theory-did not emerge from the study of symmetry at all, but from an equation that couldn't be solved. For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory. The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.
While many scientists are familiar with fractals, fewer are familiar with scale-invariance and universality which underlie the ubiquity of their shapes. These properties may emerge from the collective behaviour of simple fundamental constituents, and are studied using statistical field theories. Initial chapters connect the particulate perspective developed in the companion volume, to the coarse grained statistical fields studied here. Based on lectures taught by Professor Kardar at MIT, this textbook demonstrates how such theories are formulated and studied. Perturbation theory, exact solutions, renormalization groups, and other tools are employed to demonstrate the emergence of scale invariance and universality, and the non-equilibrium dynamics of interfaces and directed paths in random media are discussed. Ideal for advanced graduate courses in statistical physics, it contains an integrated set of problems, with solutions to selected problems at the end of the book and a complete set available to lecturers at www.cambridge.org/9780521873413.