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SHORTLISTED FOR THE 2017 ROYAL SOCIETY SCIENCE BOOK PRIZE Even small children know there are infinitely many whole numbers - start counting and you'll never reach the end. But there are also infinitely many decimal numbers between zero and one. Are these two types of infinity the same? Are they larger or smaller than each other? Can we even talk about 'larger' and 'smaller' when we talk about infinity? In Beyond Infinity, international maths sensation Eugenia Cheng reveals the inner workings of infinity. What happens when a new guest arrives at your infinite hotel - but you already have an infinite number of guests? How does infinity give Zeno's tortoise the edge in a paradoxical foot-race with Achilles? And can we really make an infinite number of cookies from a finite amount of cookie dough? Wielding an armoury of inventive, intuitive metaphor, Cheng draws beginners and enthusiasts alike into the heart of this mysterious, powerful concept to reveal fundamental truths about mathematics, all the way from the infinitely large down to the infinitely small.
Decades after a celebrated Viennese psychoanalyst begins working with a woman who claims to be a machine, a young girl retreats into fairy tales, unaware of the dangers in her Nazi-controlled German city.
Paul Pennyfeather is a second-year theology student who, as a result of mistaken identity, has his “education discontinued for personal reasons.” He ends up as a schoolmaster at a fourth-rate school, hired despite not meeting any of the qualifications in their advertisement. He there encounters a cornucopia of eccentric characters, including another master who has a wooden leg, a former clergyman with capital-D Doubts, and a servant who tells everyone he’s rich, but with a different tale for each about why he’s posing as a servant. Paul’s time at school leads to romance with a student’s mother, and that in turn leads to enormous complications in Paul’s life. Inspired in part by his own experiences in school and as a schoolmaster, Evelyn Waugh’s first published novel, Decline and Fall, is a dark and occasionally farcical satire of British college life. It’s something of a perverse coming-of-age story, subverting the expected journey and ending that the archetype usually demands. Shining a devastating light on many of the societal struggles of post-WWI Britain, Waugh took his novel’s title from another work that revealed the ineluctable descent of a great society: Gibbons’ The History of the Decline and Fall of the Roman Empire. Waugh issued a new edition of Decline and Fall in 1960 that contained restored text that was removed by his publisher from the first edition. This Standard Ebooks edition follows the first edition. This book is part of the Standard Ebooks project, which produces free public domain ebooks.