Beyond Infinity: An Expedition to the Outer Limits of Mathematics, Hardcover

Descriere

The hilarious and charming Eugenia Cheng leads us in search of what's bigger than infinity, and smaller than its opposite Imagine something small enough to fit in your head but too large to fit in the world-or even the universe. What would you call it? And what would it be? How about...infinity? In Beyond Infinity, musician, chef, and mathematician Eugenia Cheng answers this question by taking readers on a startling journey from math at its most elemental to its loftiest abstractions. Beginning with the classic thought experiment of Hilbert's hotel-the place where you can (almost) always find a room, if you don't mind being moved from room to room over the course of the night-she explores the wild and woolly world of the infinitely large and the infinitely small. Along the way she considers weighty questions like why some numbers are uncountable or why infinity plus one is not the same as one plus infinity. She finds insight in some unlikely examples: planning a dinner party for 7 billion people using a chessboard, making a chicken-sandwich sandwich, and creating infinite cookies from a finite ball of dough all tell you more about math than you could have imagined. An irresistible book on the universe's biggest possible topic, Beyond Infinity will beguile and bewitch you, and show all of us how one little symbol can hold the biggest idea of all.