"Policemen have got brains, but coppers, they’ve got brains and common sense."'No two days were ever the same for bobby on the beat PC Johnson. Whether he was chasing unlikely coal thieves, tracking down peacocks gone AWOL or investigating mysterious flying saucers over Sheffield, he faced every new challenge with a smile and a healthy dose of his copper’s common sense. In his charming and funny memoir, Martyn Johnson recalls the rogues, cheats and scoundrels - as well as the many friends - who made his life on the beat in 1960s Sheffield so unforgettable.

    More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.This Schaum's Outline gives you:Practice problems with full explanations that reinforce knowledgeCoverage of the most up-to-date developments in your course fieldIn-depth review of practices and applicationsFully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!Schaum's Outlines-Problem Solved.

    In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Godel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.

    Memoirs of a Superfluous Man By Albert Jay Nock 1994 Paperback

    

    The era covered by this book, 1950 to 1990, was surely one of the golden ages of science as well as the American university.Cherished myths are debunked along the way as Gian-Carlo Rota takes pleasure in portraying, warts and all, some of the great scientific personalities of the period Stanislav Ulam (who, together with Edward Teller, signed the patent application for the hydrogen bomb), Solomon Lefschetz (Chairman in the 50s of the Princeton mathematics department), William Feller (one of the founders of modern probability theory), Jack Schwartz (one of the founders of computer science), and many others.Rota is not afraid of controversy. Some readers may even consider these essays indiscreet. After the publication of the essay "The Pernicious Influence of Mathematics upon Philosophy" (reprinted six times in five languages) the author was blacklisted in analytical philosophy circles. Indiscrete Thoughts should become an instant classic and the subject of debate for decades to come."Read Indiscrete Thoughts for its account of the way we were and what we have become; for its sensible advice and its exuberant rhetoric."--The Mathematical Intelligencer"Learned, thought-provoking, politically incorrect, delighting in paradox, and likely to offend but everywhere readable and entertaining."--The American Mathematical Monthly"It is about mathematicians, the way they think, and the world in which the live. It is 260 pages of Rota calling it like he sees it... Readers are bound to find his observations amusing if not insightful. Gian-Carlo Rota has written the sort of book that few mathematicians could write. What will appeal immediately to anyone with an interest in research mathematics are the stories he tells about the practice of modern mathematics."--MAA Reviews"

    

    

    This user-friendly self-study guide is aimed at the general reader who is motivated to tackle that not insignificant challenge. The book is written using straightforward and accessible language, with clear derivations and explanations as well as numerous fully solved problems. For those with minimal mathematical background, the first chapter provides a crash course in foundation mathematics. The reader is then taken gently by the hand and guided through a wide range of fundamental topics, including Newtonian mechanics; the Lorentz transformations; tensor calculus; the Einstein field equations; the Schwarzschild solution (which gives a good approximation of the spacetime of our Solar System); simple black holes and relativistic cosmology. Following the historic 2015 LIGO (Laser Interferometer Gravitational-Wave Observatory) detection, there is now an additional chapter on gravitational waves, ripples in the fabric of spacetime that potentially provide a revolutionary new way to study the universe. Special relativity helps explain a huge range of non-gravitational physical phenomena and has some strangely counter-intuitive consequences. These include time dilation, length contraction, the relativity of simultaneity, mass-energy equivalence and an absolute speed limit. General relativity, the leading theory of gravity, is at the heart of our understanding of cosmology and black holes.Understand even the basics of Einstein's amazing theory and the world will never seem the same again. ContentsPrefaceIntroduction1 Foundation mathematics2 Newtonian mechanics3 Special relativity4 Introducing the manifold5 Scalars, vectors, one-forms and tensors6 More on curvature7 General relativity8 The Newtonian limit9 The Schwarzschild metric10 Schwarzschild black holes11 Cosmology12 Gravitational wavesAppendix: The Riemann curvature tensorBibliographyAcknowledgementsJanuary 2019. This third edition has been revised to make the material even more accessible to the enthusiastic general reader who seeks to understand the mathematics of relativity.

    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.

    Born to privilege as the daughter of one of Pakistan’s great feudal families, she was groomed for a diplomatic career and was thrust into the political arena when her father, Pakistan's charismatic and controversial prime minister, was executed. She then led Pakistan, one of the most turbulent and impoverished nations in the world, through two terms as prime minister in the 1980s and 1990s, but she struggled to ward off charges of corruption and retain her tenuous hold on power and was eventually forced into exile. Bhutto returned to Pakistan in 2007, only to be assassinated in Rawalpindi after a triumphant speech.Including interviews with key figures who knew Bhutto and have never before spoken on the record, Benazir Bhutto: Favored Daughter illuminates Bhutto’s tragic life as well as the role she played as the first female prime minister of Pakistan. Celebrated literary critic Brooke Allen approaches Bhutto in a way not many have done before in this taut biography of a figure who had a profound effect on the volatile politics of the Middle East, drawing on contemporary news sources and eyewitness reports, as well as accounts from her supporters and her enemies.

    A lecture class taught by Wittgenstein, however, hardly resembled a lecture. He sat on a chair in the middle of the room, with some of the class sitting in chairs, some on the floor. He never used notes. He paused frequently, sometimes for several minutes, while he puzzled out a problem. He often asked his listeners questions and reacted to their replies. Many meetings were largely conversation. These lectures were attended by, among others, D. A. T. Gasking, J. N. Findlay, Stephen Toulmin, Alan Turing, G. H. von Wright, R. G. Bosanquet, Norman Malcolm, Rush Rhees, and Yorick Smythies. Notes taken by these last four are the basis for the thirty-one lectures in this book. The lectures covered such topics as the nature of mathematics, the distinctions between mathematical and everyday languages, the truth of mathematical propositions, consistency and contradiction in formal systems, the logicism of Frege and Russell, Platonism, identity, negation, and necessary truth. The mathematical examples used are nearly always elementary.

    For much of his life he was driven by two demons: a powerful sex drive and an intense, almost pathological love for the Queen Mother…” From humble beginnings as a shopkeeper’s son in Coventry to ‘Page of the Backstairs’ at Clarence House, William Tallon, or ‘Backstairs Billy’ as he came to be known, entered royal service at the age of fifteen. Over the next fifty years, he became one of the most notorious and flamboyant characters ever to have graced the royal household - the one servant the Queen Mother just could not do without. While others came and went, he remained by her side, becoming one of her most trusted friends and confidants. The fascinating life story of the man who spent more than half a century working for one of the world’s most elusive institutions, Backstairs Billy provides a rare glimpse of what the royals really get up to behind closed doors…

    From these observations he developed his Tychonic system of the universe-- a highly original, if incorrect, scheme that attempted to reconcile the ancient belief that the Earth stood still with Nicolaus Copernicus's revolutionary rearrangement of the solar system some fifty years earlier. Tycho knew that Kepler, the brilliant young mathematician he had engaged to interpret his findings, believed in Copernicus's arrangement, in which all the planets circled the Sun; and he was afraid his system-- the product of a lifetime of effort to explain how the universe worked-- would be abandoned.In point of fact, it was. From his study of Tycho's observations came Kepler's stunning three Laws of Planetary Motion-- ever since the cornerstone of cosmology and our understanding of the heavens. Yet, as Kitty Ferguson reveals, neither of these giant figures would have his reputation today without the other. The story of how their lives and talents were fatefully intertwined is one of the more memorable sagas in the long history of science.Set in a singularly turbulent and colorful era in European history, at the turning point when medieval gave way to modern, Tycho & Kepler is both a highly original dual biography and a masterful recreation of how science advances. From Tycho's fabulous Uraniborg Observatory on an island off the Danish coast to the court of the Holy Roman Emperor, Rudolph II; from the religious conflict of the Thirty Years' War that rocked all of Europe to Kepler's extraordinary leaps of understanding, Ferguson recounts a fascinating interplay of science and religion, politics and personality. Her insights recolor the established characters of Tycho and Kepler, and her book opens a rich window onto our place in the universe.

    By the time he was thirteen, Urschel was auditing college-level calculus courses. But when he joined his high school football team, a new interest began to eclipse the thrill he once felt in the classroom. Football challenged Urschel in an entirely different way, and he became addicted to the physical contact of the sport. Accepting a scholarship to play football at Penn State, Urschel refused to sacrifice one passion for another, and simultaneously pursued his bachelor's and then master's degrees in mathematics. Against the odds, Urschel found a way to manage his double life as a scholar and an athlete, and so when he was drafted to the Baltimore Ravens, he enrolled in his PhD at MIT.Weaving together two separate yet bound narratives, Urschel relives for us the most pivotal moments of his bifurcated life. He explains why, after Penn State was sanctioned for the acts of former coach Jerry Sandusky, he turned his back on offers from Ivy League universities and refused to abandon his team, and contends with his mother's repeated request, at the end of every season, that he quit the sport and pursue a career in rocket science. Perhaps most personally, he opens up about the correlation between football and CTE, and the risks he took for the game he loves. Equally at home with both Bernard Riemann's notion of infinity and Bill Belichick's playbook, Urschel reveals how each challenge - whether on the field or in the classroom - has brought him closer to understanding the two different halves of his own life, and how reason and emotion, the mind and the body, are always working together. He asks why, "So often, people want to divide the world into two. Matter and energy. Wave and particle. Athlete and mathematician. Why can't something be both?"