Beyond Infinity: An expedition to the outer limits of the mathematical universe

Review Clear, clever and friendly -- Alex Bellos A spirited and friendly guide - appealingly down to earth about math that's extremely far out -- Jordan Ellenberg, author of How Not to Be Wrong Witty, charming, and crystal clear. A brilliant book! -- Ian Stewart, author of Calculating the Cosmos An individual journey into numbers from an absolutely fresh perspective ― Royal Society Prize judges’ citation Mesmerising ... Cheng's argument about how our minds are stretched in the effort to conceive infinity is ultimate proof that it's the journey, not the destination, which counts ― Big Issue It takes a talented writer to bring the concept of infinity to life, but Cheng's infectious enthusiasm makes maths a delight ― BBC Science Focus Product Description 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. Book Description Inside the weird and wonderful world of infinity, from endless hotels to bottomless cookie-jars - now in paperback About the Author Eugenia Cheng is Scientist in Residence at the School of the Art Institute of Chicago and Honorary Visiting Fellow at City, University of London. A concert pianist, she also speaks French and Cantonese, and is the author of The Art of Logic, How to Bake Pi and Beyond Infinity, the last of which was shortlisted for the 2017 Royal Society Science Book Prize.