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.

    

    More than 3 billion miles from Earth, a small NASA spacecraft called New Horizons screamed past Pluto at more than 32,000 miles per hour, focusing its instruments on the long mysterious icy worlds of the Pluto system, and then, just as quickly, continued on its journey out into the beyond.Nothing like this has occurred in a generation--a raw exploration of new worlds unparalleled since NASA's Voyager missions to Uranus and Neptune--and nothing like it is planned to happen ever again. The photos that New Horizons sent back to Earth graced the front pages of newspapers on all 7 continents, and NASA's website for the mission received more than 2 billion hits in the days surrounding the flyby. At a time when so many think our most historic achievements are in the past, the most distant planetary exploration ever attempted not only succeeded but made history and captured the world's imagination.How did this happen? Chasing New Horizons is the story of the men and women behind the mission: of their decades-long commitment; of the political fights within and outside of NASA; of the sheer human ingenuity it took to design, build, and fly the mission; and of the plans for New Horizons' next encounter, 1 billion miles past Pluto. Told from the insider's perspective of Dr. Alan Stern--the man who led the mission--Chasing New Horizons is a riveting story of scientific discovery, and of how far humanity can go when people focused on a dream work together toward their incredible goal.

    Space is the venue of physics; it's where things exist, where they move and take shape. Yet over the past few decades, physicists have discovered a phenomenon that operates outside the confines of space and time: nonlocality-the ability of two particles to act in harmony no matter how far apart they may be. It appears to be almost magical. Einstein grappled with this oddity and couldn't come to terms with it, describing it as "spooky action at a distance." More recently, the mystery has deepened as other forms of nonlocality have been uncovered. This strange occurrence, which has direct connections to black holes, particle collisions, and even the workings of gravity, holds the potential to undermine our most basic understandings of physical reality. If space isn't what we thought it was, then what is it? In Spooky Action at a Distance, George Musser sets out to answer that question, offering a provocative exploration of nonlocality and a celebration of the scientists who are trying to explain it. Musser guides us on an epic journey into the lives of experimental physicists observing particles acting in tandem, astronomers finding galaxies that look statistically identical, and cosmologists hoping to unravel the paradoxes surrounding the big bang. He traces the often contentious debates over nonlocality through major discoveries and disruptions of the twentieth century and shows how scientists faced with the same undisputed experimental evidence develop wildly different explanations for that evidence. Their conclusions challenge our understanding of not only space and time but also the origins of the universe-and they suggest a new grand unified theory of physics. Delightfully readable, Spooky Action at a Distance is a mind-bending voyage to the frontiers of modern physics that will change the way we think about reality.Long-listed for the 2016 PEN/E. O. Wilson Literary Science Writing Award“An important book that provides insight into key new developments in our understanding of the nature of space, time and the universe. It will repay careful study.” —John Gribbin, The Wall Street Journal “An endlessly surprising foray into the current mother of physics' many knotty mysteries, the solving of which may unveil the weirdness of quantum particles, black holes, and the essential unity of nature.” —Kirkus Reviews (starred review)

    But soon, Earth's isolation could come to an end. Over the past two decades, astronomers have discovered thousands of planets orbiting other stars. Some of these exoplanets may be mirror images of our own world. And more are being found all the time.Yet as the pace of discovery quickens, an answer to the universe's greatest riddle still remains just out of reach: Is the great silence and emptiness of the cosmos a sign that we and our world are somehow singular, special, and profoundly alone, or does it just mean that we’re looking for life in all the wrong places? As star-gazing scientists come closer to learning the truth, their insights are proving ever more crucial to understanding life’s intricate mysteries and possibilities right here on Earth.Science journalist Lee Billings explores the past and future of the "exoplanet boom" through in-depth reporting and interviews with the astronomers andplanetary scientists at its forefront. He recounts the stories behind their world-changing discoveries and captures the pivotal moments that drove them forward in their historic search for the first habitable planets beyond our solar system. Billings brings readers close to a wide range of fascinating characters, such as:FRANK DRAKE, a pioneer who has used the world’s greatest radio telescopes to conduct the first searches for extraterrestrial intelligence and to transmit a message to the stars so powerful that it briefly outshone our Sun.JIM KASTING, a mild-mannered former NASA scientist whose research into the Earth’s atmosphere and climate reveals the deepest foundations of life on our planet, foretells the end of life on Earth in the distant future, and guides the planet hunters in their search for alien life.SARA SEAGER, a visionary and iron-willed MIT professor who dreams of escaping the solar system and building the giant space telescopes required to discover and study life-bearing planets around hundreds of the Sun’s neighboring stars.Through these and other captivating tales, Billings traces the triumphs, tragedies, and betrayals of the extraordinary men and women seeking life among the stars. In spite of insufficient funding, clashing opinions, and the failings of some of our world’s most prominent and powerful scientific organizations, these planet hunters will not rest until they find the meaning of life in the infinite depths of space. Billings emphasizes that the heroic quest for other Earth-like planets is not only a scientific pursuit, but also a reflection of our own culture’s timeless hopes and fears.

    While not every story is concerned with the hard science behind space travel and other futuristic ventures, fiction can give listeners an amazing insight into what people could be capable of and what people dream of doing.In the 10 lectures of The Science of Sci-Fi: From Warp Speed to Interstellar Travel, Professor Erin Macdonald interweaves real science and the achievements of the imagination to reveal the truth that underlies favorite stories and sheds light on what the future may hold. From faster-than-light travel to journeys through time itself, science fiction makes humanity seem limitless. So, what scientific boundaries are people pushing against while seeking to fly among the stars?Listening Length: 3 hours and 59 minutes

    After all, we ourselves are the product of evolution, and we can tackle many of our gravest challenges –– from lethal resurgence of antiobiotic–resistant diseases to the wave of extinctions that looms before us –– with a sound understanding of the science.

    Although the laws of physics create a powerful impression that time is flowing, in fact there are only timeless `nows'. In The End of Time, the British theoretical physicist Julian Barbour describes the coming revolution in our understanding of the world: a quantum theory of the universe that brings together Einstein's general theory of relativity - which denies the existence of a unique time - and quantum mechanics - which demands one. Barbour believes that only the most radical of ideas can resolve the conflict between these two theories: that there is, quite literally, no time at all. The End of Time is the first full-length account of the crisis in our understanding that has enveloped quantum cosmology. Unifying thinking that has never been brought together before in a book for the general reader, Barbour reveals the true architecture of the universe and demonstrates how physics is coming up sharp against the extraordinary possibility that the sense of time passing emerges from a universe that is timeless. The heart of the book is the author's lucid description of how a world of stillness can appear to be teeming with motion: in this timeless world where all possible instants coexist, complex mathematical rules of quantum mechanics bind together a special selection of these instants in a coherent order that consciousness perceives as the flow of time. Finally, in a lucid and eloquent epilogue, the author speculates on the philosophical implications of his theory: Does free will exist? Is time travel possible? How did the universe begin? Where is heaven? Does the denial of time make life meaningless? Written with exceptional clarity and elegance, this profound and original work presents a dazzlingly powerful argument that all will be able to follow, but no-one with an interest in the workings of the universe will be able to ignore.

    Birth of a Theorem is Villani’s own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career.But you don’t have to understand nonlinear Landau damping to love Birth of a Theorem. It doesn’t simplify or overexplain; rather, it invites readers into collaboration. Villani’s diaries, emails, and musings enmesh you in the process of discovery. You join him in unproductive lulls and late-night breakthroughs. You’re privy to the dining-hall conversations at the world’s greatest research institutions. Villani shares his favorite songs, his love of manga, and the imaginative stories he tells his children. In mathematics, as in any creative work, it is the thinker’s whole life that propels discovery—and with Birth of a Theorem, Cédric Villani welcomes you into his.

    Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts, mathematical discussions, and the application of complex numbers and functions to important problems.

    Based on a National Magazine Award-winning article, this masterful biography of Hungarian-born Paul Erdos is both a vivid portrait of an eccentric genius and a layman's guide to some of this century's most startling mathematical discoveries.

    He provides readers with non-trivial insights into research fields they may not have encountered previously . . . I think everyone who has ever considered the possibility that other intelligent civilizations exist elsewhere within our galaxy will enjoy Where Is Everybody? They will find much to agree with, and much to argue about, in this very accessible volume.� �SCIENCE During a Los Alamos lunchtime conversation that took place more than 50 years ago, four world-class scientists agreed, given the size and age of the Universe, that advanced extraterrestrial civilizations simply had to exist. The sheer numbers demanded it. But one of the four, the renowned physicist and back-of-the-envelope calculator Enrico Fermi, asked the telling question: If the extraterrestrial life proposition is true, he wondered, "Where IS everybody?" In this lively and thought-provoking book, Stephen Webb presents a detailed discussion of the 50 most cogent and intriguing answers to Fermi's famous question, divided into three distinct groups: - Aliens are already here among us. Here are answers ranging from Leo Szilard's suggestion that they are already here, and we know them as Hungarians, to the theorists who claim that aliens built Stonehenge and the Easter Island statues. - Aliens exist, but have not yet communicated. The theories in this camp range widely, from those who believe we simply don't have the technologies to receive their signals, to those who believe the enormities of space and time work against communication, to those who believe they're hiding from us. - Aliens do not exist. Here are the doubters' arguments, from the Rare Earth theory to the author's own closely argued and cogently stated skepticism. The proposed solutions run the gamut from the crackpot to the highly serious, but all deserve our consideration. The varieties of arguments -- from first-rate scientists, philosophers and historians, and science fiction authors -- turn out to be astonishing, entertaining, and vigorous intellectual exercises for any reader interested in science and the sheer pleasure of speculative thinking. Stephen Webb is a physicist working at the Open University in England and the author of Measuring the Universe.

    Marvel at the Dual Slit experiment as a tiny atom passes through 2 separate openings at the same time. Ponder the peculiar communication of quantum particles, which can remain in touch no matter how far apart. Join the genius jewel thief as he carries out a quantum measurement on a diamond without ever touching the object in question. With its clean, colorful layout and conversational tone, this text will hook you into the conundrum that is quantum mechanics.

    Their work has uncovered a number of the universe’s more surprising secrets, and many believe further wonders remain hidden within the theory’s tangle of equations, waiting to be exposed. In this sweeping narrative of science and culture, astrophysicist Pedro Ferreira brings general relativity to life through the story of the brilliant physicists, mathematicians, and astronomers who have taken up its challenge. For these scientists, the theory has been both a treasure trove and an enigma, fueling a century of intellectual struggle and triumph.. Einstein’s theory, which explains the relationships among gravity, space, and time, is possibly the most perfect intellectual achievement of modern physics, yet studying it has always been a controversial endeavor. Relativists were the target of persecution in Hitler’s Germany, hounded in Stalin’s Russia, and disdained in 1950s America. Even today, PhD students are warned that specializing in general relativity will make them unemployable. Despite these pitfalls, general relativity has flourished, delivering key insights into our understanding of the origin of time and the evolution of all the stars and galaxies in the cosmos. Its adherents have revealed what lies at the farthest reaches of the universe, shed light on the smallest scales of existence, and explained how the fabric of reality emerges. Dark matter, dark energy, black holes, and string theory are all progeny of Einstein’s theory. We are in the midst of a momentous transformation in modern physics. As scientists look farther and more clearly into space than ever before, The Perfect Theory reveals the greater relevance of general relativity, showing us where it started, where it has led, and where it can still take us.

    Rucker acquaints us with Godel's rotating universe, in which it is theoretically possible to travel into the past, and explains an interpretation of quantum mechanics in which billions of parallel worlds are produced every microsecond. It is in the realm of infinity, he maintains, that mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise from this merging, we can learn a great deal about the human mind, its powers, and its limitations.Using cartoons, puzzles, and quotations to enliven his text, Rucker guides us through such topics as the paradoxes of set theory, the possibilities of physical infinities, and the results of Godel's incompleteness theorems. His personal encounters with Godel the mathematician and philosopher provide a rare glimpse at genius and reveal what very few mathematicians have dared to admit: the transcendent implications of Platonic realism.