joyfully shows you how to make nature's numbers dance."--Bill Nye (the science guy)The Magic of Math is the math book you wish you had in school. Using a delightful assortment of examples-from ice-cream scoops and poker hands to measuring mountains and making magic squares-this book revels in key mathematical fields including arithmetic, algebra, geometry, and calculus, plus Fibonacci numbers, infinity, and, of course, mathematical magic tricks. Known throughout the world as the "mathemagician," Arthur Benjamin mixes mathematics and magic to make the subject fun, attractive, and easy to understand for math fan and math-phobic alike."A positively joyful exploration of mathematics."-Publishers Weekly, starred review"Each [trick] is more dazzling than the last."-Physics World

    But Max Leonard, himself an accomplished amateur cyclist, does not forget the pain, the glory, the sweat, and the tears that go into these grueling climbs.  After all, cycling up a mountain is hard.  So hard that, to many, it can seem absurd. But for others, climbing a mountain gracefully (and beating your competitors up the slope) represents the pinnacle of cycling achievement. It is where legends are forged.Many books tell you where the mountains are, or how long and how high. None of them ask why. Why are mountain ranges professional cycling’s Coliseum? Why do amateurs also make pilgrimages to these high, remote roads? Why are the roads even there in the first place to lure us on to these obsession inducing climbs?   Just why are mountains so enthralling? “This is real cycling, where the glory is and where dreams come true,” according to Bradley Wiggins. Mountains are where cycling's greatest heroes have made their names. Every amateur rider wishes they could climb better, too.  Are all these people addicted to the pain? To the achievement? Or to the allure of the peaks? Some spend their weekends and holidays cycling up mountains from start to finish. But how does a rider push themselves beyond their limits to get up a 10% gradient on pedal power alone? What is happening when they do?A Higher Calling explores the central place of mountains in the folklore of road cycling. Blending adventure and travel writing with the rich narrative of racing, Max Leonard takes the reader from the battles that created the Alpine roads to the shepherds tending their flocks on the peaks, and to a Grand Tour climax on the “highest road in Europe.” And he tells stories of courage and sacrifice, war and love, obsession and even elephants, along the way.

    Each chapter contains integrated worked examples and chapter tests. This edition has the ancillary ATLAST computer exercise guide and new MATLAB and Maple guides.

    This includes further education, adult and community learning, work-based learning, the forces and offender learning and skills. It is easy to read with plenty of practical activities and examples throughout and the content is fully linked to the Teacher Training Standards. Please note: This book has since been updated to reflect the new title of the qualification: The Award in Education and Training.The qualification unit content contained in the appendices has since changed, and some legislation mentioned in the book has been updated.

    The work of English clergyman, educator and Shakespearean scholar Edwin A. Abbott (1838-1926), it describes the journeys of A. Square [sic – ed.], a mathematician and resident of the two-dimensional Flatland, where women-thin, straight lines-are the lowliest of shapes, and where men may have any number of sides, depending on their social status.Through strange occurrences that bring him into contact with a host of geometric forms, Square has adventures in Spaceland (three dimensions), Lineland (one dimension) and Pointland (no dimensions) and ultimately entertains thoughts of visiting a land of four dimensions—a revolutionary idea for which he is returned to his two-dimensional world. Charmingly illustrated by the author, Flatland is not only fascinating reading, it is still a first-rate fictional introduction to the concept of the multiple dimensions of space. "Instructive, entertaining, and stimulating to the imagination." — Mathematics Teacher.

    Exploring their impact and legacy with leading scientists of today including Stephen Jay Gould, Oliver Sacks, Lewis Wolpert, Susan Greenfield, Roger Penrose and Richard Dawkins, Melvyn Bragg illuminates the core issues of science past and present, and conveys the excitement and importance of the scientific quest.

    As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added. In this edition, half of the exercises are provided with hints and answers and, in a separate manual available to both students and their teachers, complete worked solutions. The remaining exercises have no hints, answers or worked solutions and can be used for unaided homework; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718.

    Historian Jacqueline Stedall shows that mathematical ideas are far from being fixed, but are adapted and changed by their passage across periods and cultures. The book illuminates some of the varied contexts in which people have learned, used, and handed on mathematics, drawing on fascinating case studies from a range of times and places, including early imperial China, the medieval Islamic world, and nineteenth-century Britain. By drawing out some common threads, Stedall provides an introduction not only to the mathematics of the past but to the history of mathematics as a modern academic discipline.

    do it? How should you flip your mattress to get the maximum wear out of it? How does Google search the Internet? How many people should you date before settling down? Believe it or not, math plays a crucial role in answering all of these questions and more.Math underpins everything in the cosmos, including us, yet too few of us understand this universal language well enough to revel in its wisdom, its beauty — and its joy. This deeply enlightening, vastly entertaining volume translates math in a way that is at once intelligible and thrilling. Each trenchant chapter of The Joy of x offers an “aha!” moment, starting with why numbers are so helpful, and progressing through the wondrous truths implicit in π, the Pythagorean theorem, irrational numbers, fat tails, even the rigors and surprising charms of calculus. Showing why he has won awards as a professor at Cornell and garnered extensive praise for his articles about math for the New York Times, Strogatz presumes of his readers only curiosity and common sense. And he rewards them with clear, ingenious, and often funny explanations of the most vital and exciting principles of his discipline.Whether you aced integral calculus or aren’t sure what an integer is, you’ll find profound wisdom and persistent delight in The Joy of x.

    Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics.The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument.This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite.

    From the first lesson to the last, each chapter introduces games of increasing complexity and then teaches the game theoretical tools necessary to solve them. Inside, you will find: All the basics fully explained, including pure strategy Nash equilibrium, mixed strategy Nash equilibrium, the mixed strategy algorithm, how to calculate payoffs, strict dominance, weak dominance, iterated elimination of strictly dominated strategies, iterated elimination of weakly dominated strategies, and more! Dozens of games solved, including the prisoner's dilemma, stag hunt, matching pennies, zero sum games, battle of the sexes/Bach or Stravinsky, chicken/snowdrift, pure coordination, deadlock, and safety in numbers! Crystal clear, line-by-line calculations of every step, with more than 200 images so you don't miss a thing! Tons of applications: war, trade, game shows, and duopolistic competition. Quick, efficient, and to the point, Game Theory 101: The Basics is perfect for introductory game theory, intermediate microeconomics, and political science.

    He sifts through over 30,000 survey submissions to uncover the world’s favourite number, and meets a mathematician who looks for universes in his garage. He attends the World Mathematical Congress in India, and visits the engineer who designed the first roller-coaster loop. Get hooked on math as Alex delves deep into humankind’s turbulent relationship with numbers, and reveals how they have shaped the world we live in.

    He enters us into the extraordinary life of one of the would-be contenders - an everyday mastermind - and in doing so, reveals the cruel burdens, as well as the glorious rewards, of a life marked by brilliance.

    After years of fear and isolation, Heidi knew she had to go to the police. For a long time, Chloe resented Heidi for forcing her to disclose what had happened when she wasn’t ready, while their brother, Tom, couldn’t understand how he had so misjudged his father, and at first he didn’t believe their tale. The truth threatened to destroy them all. This is the very honest story of three siblings, and how a man they trusted threatened to tear their family apart.

    Cameron Webb’s brief but biting assault on the wide spectrum of religiosity that dominates 21st century America, from the hateful and anti-intellectual dogma of the Christian Right to the whitewashed progressivism of religious moderates. It is also a fascinating and humbling journey into the heart of the universe's most mind-numbing wonders.Drawing on recent insights from cosmology and evolution, Despicable Meme paints a vivid portrait of a cosmos unlike anything ever imagined by the provincial, human-centered faiths of the past – a universe of countless worlds spread across unfathomable distances and times, and where, on at least one of those worlds, the slow march of time would combine with the purposeless mechanisms of chemistry and physics to create a being capable of believing that he alone is the reason for it all.With piercing intelligence and candor, Despicable Meme exposes the folly of that conceit and dispenses with the widespread but utterly improbable notion of a personal creator. But it saves its harshest criticism for the vapid accommodationism of religious liberals, those who unknowingly or uncaringly give cover to the misogynistic, racist, homophobic paranoia of the fanatics by refusing to condemn, or quietly tolerating, the outlandish and immoral doctrines that lie festering at the center of their own “moderate” faiths.Despicable Meme is not only a blistering condemnation of radical fundamentalism, it is an impassioned appeal to the rest of us to once and for all abandon the superstitions of the religion we were raised in and embrace the beauty of an endlessly wondrous, but godless, universe.Show less