Smoking has gone from doctor recommended to deadly. We used to think the Earth was the center of the universe and that Pluto was a planet. For decades, we were convinced that the brontosaurus was a real dinosaur. In short, what we know about the world is constantly changing.   But it turns out there’s an order to the state of knowledge, an explanation for how we know what we know. Samuel Arbesman is an expert in the field of scientometrics—literally the science of science. Knowl­edge in most fields evolves systematically and predict­ably, and this evolution unfolds in a fascinating way that can have a powerful impact on our lives.   Doctors with a rough idea of when their knowl­edge is likely to expire can be better equipped to keep up with the latest research. Companies and govern­ments that understand how long new discoveries take to develop can improve decisions about allocating resources. And by tracing how and when language changes, each of us can better bridge gen­erational gaps in slang and dialect.   Just as we know that a chunk of uranium can break down in a measurable amount of time—a radioactive half-life—so too any given field’s change in knowledge can be measured concretely. We can know when facts in aggregate are obsolete, the rate at which new facts are created, and even how facts spread.   Arbesman takes us through a wide variety of fields, including those that change quickly, over the course of a few years, or over the span of centuries. He shows that much of what we know consists of “mesofacts”—facts that change at a middle timescale, often over a single human lifetime. Throughout, he of­fers intriguing examples about the face of knowledge: what English majors can learn from a statistical analysis of The Canterbury Tales, why it’s so hard to measure a mountain, and why so many parents still tell kids to eat their spinach because it’s rich in iron.   The Half-life of Facts is a riveting journey into the counterintuitive fabric of knowledge. It can help us find new ways to measure the world while accepting the limits of how much we can know with certainty.

    But are there limits to what we can discover about our physical universe?In this very personal journey to the edges of knowledge, Marcus du Sautoy investigates how leading experts in fields from quantum physics and cosmology, to sensory perception and neuroscience, have articulated the current lie of the land. In doing so, he travels to the very boundaries of understanding, questioning contradictory stories and consulting cutting edge data.Is it possible that we will one day know everything? Or are there fields of research that will always lie beyond the bounds of human comprehension? And if so, how do we cope with living in a universe where there are things that will forever transcend our understanding?In What We Cannot Know, Marcus du Sautoy leads us on a thought-provoking expedition to the furthest reaches of modern science. Prepare to be taken to the edge of knowledge to find out if there’s anything we truly cannot know.

    In the hands of one of today’s hottest young physicists, that simple fact of breakfast becomes a doorway to understanding the Big Bang, the universe, and other universes, too. In From Eternity to Here, Sean Carroll argues that the arrow of time, pointing resolutely from the past to the future, owes its existence to conditions before the Big Bang itself, a period modern cosmology of which Einstein never dreamed. Increasingly, though, physicists are going out into realms that make the theory of relativity seem like child’s play. Carroll’s scenario is not only elegant, it’s laid out in the same easy-to- understand language that has made his group blog, Cosmic Variance, the most popular physics blog on the Net. From Eternity to Here uses ideas at the cutting edge of theoretical physics to explore how properties of spacetime before the Big Bang can explain the flow of time we experience in our everyday lives. Carroll suggests that we live in a baby universe, part of a large family of universes in which many of our siblings experience an arrow of time running in the opposite direction. It’s an ambitious, fascinating picture of the universe on an ultra-large scale, one that will captivate fans of popular physics blockbusters like Elegant Universe and A Brief History of Time.

    But when Grayson Park's bride leaves him at the altar, a solo trip to paradise seems like just the thing to take him far from his troubles. Then he meets the beautiful and enigmatic Hi'iaka, and his troubles just begin--because when she's abducted by the sinister Kamapua'a, a savage creature bent on draining her life by the light of the full moon, she calls on Grayson to rescue her. With his loyal, new-found Hawaiian friend Polunu as his steadfast guide, Grayson sets out on an incredible adventure that pits him against the very gods of Hawaiian mythology and leads him to the heart of Pele's volcano, into the ocean to find the mythical Hook of Maui, and through the strange and brutal upcountry fleeing from demonic mo'o sent to destroy him. But there are only two nights left before the moon becomes full, and Grayson is running out of time to save Hi'iaka...and himself.

    The author shows that no matter how bizarre a people's behavior may seem, it always stems from concrete social and economic conditions. It is by isolating and identifying these conditions that we will be able to understand and cope with some of our own apparently senseless life styles. In a devastating attack on the shamans of the counterculture, the author states the case for a return to objective consciousness and a rational set of political commitments.

    For real.If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel.Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry," from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.

    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.

    Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula--long regarded as the gold standard for mathematical beauty--and shows why it still lies at the heart of complex number theory. This book is the sequel to Paul Nahin's An Imaginary Tale: The Story of I [the square root of -1], which chronicled the events leading up to the discovery of one of mathematics' most elusive numbers, the square root of minus one. Unlike the earlier book, which devoted a significant amount of space to the historical development of complex numbers, Dr. Euler begins with discussions of many sophisticated applications of complex numbers in pure and applied mathematics, and to electronic technology. The topics covered span a huge range, from a never-before-told tale of an encounter between the famous mathematician G. H. Hardy and the physicist Arthur Schuster, to a discussion of the theoretical basis for single-sideband AM radio, to the design of chase-and-escape problems. The book is accessible to any reader with the equivalent of the first two years of college mathematics (calculus and differential equations), and it promises to inspire new applications for years to come. Or as Nahin writes in the book's preface: To mathematicians ten thousand years hence, Euler's formula will still be beautiful and stunning and untarnished by time.

    This world-famous bestseller has withstood the test of time, inspiring countless books and films, including the author's own popular sequel, The Eyes of the Sphinx. But here is where it all began--von Daniken's startling theories of our earliest encounters with alien worlds, based upon his lifelong studies of ancient ruins, lost cities, potential spaceports, and a myriad of hard scientific facts that point to extraterrestrial intervention in human history. Most incredible of all, however, is von Daniken's theory that we ourselves are the descendants of these galactic pioneers--and the archeological discoveries that prove it... * An alien astronaut preserved in a pyramid * Thousand-year-old spaceflight navigation charts * Computer astronomy from Incan and Egyptian ruins * A map of the land beneath the ice cap of Antarctica * A giant spaceport discovered in the Andes Includes remarkable photos that document mankind's first contact with aliens at the dawn of civilization.

    Increasingly, the decisions that affect our lives--where we go to school, whether we can get a job or a loan, how much we pay for health insurance--are being made not by humans, but by machines. In theory, this should lead to greater fairness: Everyone is judged according to the same rules.But as mathematician and data scientist Cathy O'Neil reveals, the mathematical models being used today are unregulated and uncontestable, even when they're wrong. Most troubling, they reinforce discrimination--propping up the lucky, punishing the downtrodden, and undermining our democracy in the process.

    One Can Be A Saintly Person Without Believing In God And A Detestable Villain Believing In Him. In My Personalized Religion, There Is No God! Khushwant Singh, Over The Decades, Has Built Up A Reputation For Coming Up With Something New And Controversial In Each Book, And He Does Not Disappoint His Readers This Time Too. He Begins With A Chapter On The 'Need For A New Religion - Without God', In Which He Questions The Relevance Of God. He Then Moves On To Describe How Religion Has Proved To Be More Harmful Than Beneficial And, In The Process, Debunks Astrologers And The Breed Of So-Called 'Godmen'. However, He Is Not Dismissive Of Religion. Through His Lucid Writing, He Brings Out The Beauty And Significance Of Holy Books Such As The Bhagvad Gita, The Quran And The Granth Sahib. He Provides Relevant Extracts To Highlight The Poetry And The Music In Such Books. The Author Next Tries To Dispel The Prejudices Held By Many Non-Muslims Against Their Muslim Compatriots By Giving Down-To-Earth Examples. He Also Emphasizes The Importance Of The Ramzaan Fast. Khushwant Singh'S Description Of The Life And Times Of Guru Nanak And Guru Gobind Singh And His In-Depth Analysis Of The Granth Sahib Throw New Light On A Particularly Troubled Period In India'S History. The Chapter Devoted To The Interaction Of The Author (A Confirmed Agnostic) With The Dalai Lama (Probably The World'S Most Renowned Spiritual Leader) Makes For Fascinating Reading. Here'S One Book Containing A Wealth Of Knowledge And Information That You Would Want To Read Or Consult Again And Again. About The AuthorKhushwant Singh is India's best-known writer and columnist.

    In the tradition of unsolved historical mysteries like David Grann's Killers of the Flower Moon and Douglas Preston's The Lost City of the Monkey God, Brian Muraresku’s 10-year investigation takes the reader through Greece, Germany, Spain, France and Italy, offering unprecedented access to the hidden archives of the Louvre and the Vatican along the way.In The Immortality Key, Muraresku explores a little-known connection between the best-kept secret in Ancient Greece and Christianity. This is the real story of the most famous human being who ever lived (Jesus) and the biggest religion the world has ever known. Today, 2.4 billion people are Christian. That's one third of the planet. But do any of them really know how it all started?Before Jerusalem, before Rome, before Mecca—there was Eleusis: the spiritual capital of the ancient world. It promised immortality to Plato and the rest of Athens's greatest minds with a very simple formula: drink this potion, see God. Shrouded in secrecy for millennia, the Ancient Greek sacrament was buried when the newly Christianized Roman Empire obliterated Eleusis in the fourth century AD.Renegade scholars in the 1970s claimed the Greek potion was psychedelic, just like the original Christian Eucharist that replaced it. In recent years, vindication for the disgraced theory has been quietly mounting in the laboratory. The rapidly growing field of archaeological chemistry has proven the ancient use of visionary drugs. And with a single dose of psilocybin, the psycho-pharmacologists at Johns Hopkins and NYU are now turning self-proclaimed atheists into instant believers. No one has ever found hard, scientific evidence of drugs connected to Eleusis, let alone early Christianity. Until now.Armed with key documents never before translated into English, convincing analysis, and a captivating spirit of quest, Muraresku mines science, classical literature, biblical scholarship and art to deliver the hidden key to eternal life, bringing us to what clinical psychologist William Richards calls "the edge of an awesomely vast frontier."Featuring a Foreword by Graham Hancock, the New York Times bestselling author of America Before: The Key to Earth's Lost Civilization.

    Her tyrant of a boss hated the holiday and now she was stuck with him for two weeks at his house during a snow storm.CEO of Director Enterprises Preston Scott wasn’t a man known to celebrate the Christmas Holiday. So, why after one day of having Layla in his house he wanted to celebrate the holiday in a whole different way?

    They were the rank underdogs and they swept to victory on an unprecedented tide of goodwill that washed over the nation. Only Martin Flanagan could bring to life this particular miracle. The club's two guiding spirits - captain Bob Murphy and coach Luke Beveridge - welcomed him in, Beveridge making available his match diaries, pre-match notes and video highlights. Flanagan interviewed every player, watched every match, talked with the trainers, the women in the football department, the fans who never miss a training session, the cheer squad.What Flanagan shows is that the Bulldogs found a new way to play partly because they found a new way to be a team - a new way to support each other, even a new way to be. A Wink from the Universe takes us into the heart of the community Luke Beveridge and Bob Murphy dreamt into being with the support of the Bulldog people around them. This is a classic of sportswriting - a book for fans of the club, and of the game, but also a book for anyone who wants to know how a group of people can will a miracle to happen.

    At the bottom of that iceberg of 'dark arts' - hacking, bugging and bribing bent cops - is the body of Daniel Morgan. The truth behind his killing is obscured by a web of corruption and cover-ups.Written by Daniel's brother Alastair, with investigative journalist Peter Jukes, Untold marks the 30th anniversary of the murder once described by an Assistant Commissioner of the Met as 'one of the most disgraceful episodes in the entire history of the Metropolitan Police Service.'Going beyond the number one hit podcast of the same name, this is the inside story in full. Including fresh revelations, new evidence, all the latest findings and, at its heart, the tragic story of a family whose lives have been torn apart in the search for answers.If you haven't heard of this story, ask yourself, why?