Beyond infinity : an expedition to the outer limits of mathematics
Cheng, Eugenia
Beyond infinity : an expedition to the outer limits of mathematics - New York Basic Books 2017 - x,281,ip.
Contents
Prologue ix
Part one 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 two The Sights
10 Where Is Infinity?141
11Things 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
9781541644137
511 / CHE
Beyond infinity : an expedition to the outer limits of mathematics - New York Basic Books 2017 - x,281,ip.
Contents
Prologue ix
Part one 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 two The Sights
10 Where Is Infinity?141
11Things 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
9781541644137
511 / CHE