What conceptual blind spot kept the ancient Greeks (unlike the Indians and Maya) from developing a concept of zero? Why did St. Augustine equate nothingness with the Devil? What tortuous means did 17th-century scientists employ in their attempts to create a vacuum? And why do contemporary quantum physicists believe that the void is actually seething with subatomic activity? You’ll find the answers in this dizzyingly erudite and elegantly explained book by the English cosmologist John D. Ba...

For a thousand years, infinity has proven to be a difficult and illuminating challenge for mathematicians and theologians. It certainly is the strangest idea that humans have ever thought. Where did it come from and what is it telling us about our Universe? Can there actually be infinities? Is matter infinitely divisible into ever-smaller pieces? But infinity is also the place where things happen that don't. All manner of strange paradoxes and fantasies characterize an infinite universe. I...

“Where else does math become a romp, full of entertaining tricks and turns?”—Bryce Christensen, BooklistHave you ever considered why you always get stuck in the longest line? Why two’s company but three’s a crowd? Or why there are six degrees of separation instead of seven? In this hugely informative and endlessly entertaining book, John D. Barrow takes the most baffling of everyday phenomena and—with simple math, lucid explanations, and illustrations—expl...

An entertaining and illuminating collection of 100 surprising connections between math and the arts.At first glance, the worlds of math and the arts might not seem like comfortable neighbors. But as mathematician John D. Barrow points out, they have a strong and natural affinity—after all, math is the study of all patterns, and the world of the arts is rich with pattern. Barrow whisks us through 100 thought-provoking and often whimsical intersections between math a...

An entertaining, eye-opening guide to what math and physics can reveal about sports.How can sprinter Usain Bolt break his world record without expending any additional effort? What dates of birth give rise to the best professional athletes? Is it better to have the inside or outside lane during a race?Drawing on vivid, real-life examples, mathematician John D. Barrow entertainingly explores the eye-opening, often counterintuitive, insights into the world of...

Following a long-term international collaboration between leaders in cosmology and the philosophy of science, this volume addresses foundational questions at the limit of science across these disciplines, questions raised by observational and theoretical progress in modern cosmology. Space missions have mapped the Universe up to its early instants, opening up questions on what came before the Big Bang, the nature of space and time, and the quantum origin of the Universe. As the foundationa...

Reflecting a rich technical and interdisciplinary exchange of ideas, Water and Life: The Unique Properties of H20 focuses on the properties of water and its interaction with life. The book develops a variety of approaches that help to illuminate ways in which to address deeper questions with respect to the nature of the universe and our place withi

There is no more profound, enduring or fascinating question in all of science than that of how time, space, and matter began. Now John Barrow, who has been at the cutting edge of research in this area and has written extensively about it, guides us on a journey to the beginning of time, into a world of temperatures and densities so high that we cannot recreate them in a laboratory. With new insights, Barrow draws us into the latest speculative theories about the nature of time and the "inf...

There is no more profound, enduring or fascinating question in all of science than that of how time, space, and matter began. Now John Barrow, who has been at the cutting edge of research in this area and has written extensively about it, guides us on a journey to the beginning of time, into a world of temperatures and densities so high that we cannot recreate them in a laboratory. With new insights, Barrow draws us into the latest speculative theories about the nature of time and the "inf...

Albert Einstein is the unquestioned founder of modern physics. His theory of relativity is the most important scientific idea of the modern era. In this book Einstein explains, using the minimum of mathematical terms, the basic ideas and principles of the theory which has shaped the world we live in today. Unsurpassed by any subsequent books on relativity, this remains the most popular and useful exposition of Einstein’s immense contribution to human knowledge.In this work Einstein...

Mathematics pervades our daily lives. It is intimately involved whenever one starts a car, switches on the television, flies on a plane, forecasts the weather, books a holiday on the internet, programmes a computer, navigates heavy traffic, analyses statistical data, or seeks a cure for a disease. Our credit cards and the nation's defence secrets are kept secure by encryption methods based on prime numbers.This book presents mathematics with a human face, celebrating the achievemen...

Relativity: The Special and General Theory is an introduction to Einstein's space-bending, time-stretching theory of Relativity, first published in December 1916. Special and General relativity explain the structure of space time and provide a theory of gravitation, respectively. Einstein's theories shocked the world with their counterintuitive results, including the dissolution of absolute time. In this book, he brings a simplified form of his profound understanding of the subject to the ...