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Beyond Infinity: An Expedition to the Outer Limits of Mathematics - Paperback | Diverse Reads

Beyond Infinity: An Expedition to the Outer Limits of Mathematics

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How one powerful concept reveals the biggest (and smallest) mathematical truths

How big is the universe? How many numbers are there? And is infinity + 1 is the same as 1 + infinity? Such questions occur to young children and our greatest minds. And they are all the same question: What is infinity? In Beyond Infinity, Eugenia Cheng takes us on a staggering journey from elemental math to its loftiest abstractions. Along the way, she considers how to use a chessboard to plan a worldwide dinner party, how to make a chicken-sandwich sandwich, and how to create infinite cookies from a finite ball of dough. Beyond Infinity shows how one little symbol holds the biggest idea of all.

ISBN-13: 9781541644137

Media Type: Paperback

Publisher: Basic Books

Publication Date: 05-01-2018

Pages: 304

Product Dimensions: 5.30(w) x 8.10(h) x 1.00(d)

Eugenia Cheng is Scientist in Residence at the School of the Art Institute of Chicago and an Honorary Visiting Fellow at City, University of London. She has authored numerous titles, including How to Bake Pi, Beyond Infinity, The Art of Logic, and x + y. Cheng lives in Chicago, Illinois.

Table of Contents

Prologue ix

Part 1 The Journey

1 What is Infinity? 3

2 Playing with infinity 12

3 What Infinity Is Not 28

4 Infinity Slips Away from Us Again 39

5 Counting Up to Infinity 55

6 Some Things Are More Infinite than Others 78

7 Counting Beyond Infinity 94

8 Comparing Infinities 108

9 What Infinity Is 124

Part 2 The Sights

10 Where Is Infinity? 141

11 Things That Are Nearly Infinity 147

12 Infinite Dimensions 159

13 Infinite-Dimensional Categories 179

14 The Infinitesimally Small 197

15 When Infinity Nearly Caused Mathematics to Fall Apart (and Maybe Also Your Brain) 211

16 Weirdness 246

17 Where Infinity Is 271

Acknowledgments 279

Index 281