帶你一探「無限」的奇妙
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.
Reviews
Beyond Infinity is witty, charming, and crystal clear. Eugenia Cheng's enthusiasm and carefully chosen metaphors and analogies carry us effortlessly through the mathematical landscape of the infinite. A brilliant book!- Ian Stewart, author of Calculating the Cosmos
Praise for How to Bake Pi:
'A concert pianist, mathematician, polyglot and now YouTube star, Cheng has carved out quite a niche for herself demystifying maths through cake. It's a Beautiful-Mind-meets-Scott-Pilgrim kind of mission, and Cheng brings to it an ebullient enthusiasm that's infectious- Guardian
It would be wonderful if this book attracted a new audience to the field. And there's no better ambassador (or dinner-party host, I'd wager) than Eugenia Cheng.- Alex Bellos, New York Times