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ontents

Introduction:

The

Magic

of

Numbers

6

Chapter 1

Starting with num bers

8

Where do numbers come from?

Numbers

and bases tlore numbers, big and small

Chapter 2 Numbers put to work 34

Putting twO and t\vo tObrether Special numbers and sequences Unspeakable numbers

Chapter

3

The

shape

ofthings 6

The m e a ~ l r e of everything Early breometry Trigonometry

Chapter

4 n

the round

92

Curves, circles and conics Solid geometry Seeing the world Other worlds

Chapter 5 The magic formula 12

Algebra in

the

ancient world The birth of albrebra Writing equations

Al :

ehra

comes into its own

The

world

is

n(''Vcr

enough

Chapter 6 Grasping

the

infinite

144

Coming to teflllS with infinity .

Th

e emerh Cllcc of calculus Calculus and beyond

Chapter

7 Numbers

at

work and play 166

Cheer

up, it may never happen Samples and statistics Statistical mathematics

Chapter

8

The

death of numbers 186

Set theory Getting fuzzy

Cha pter 9

Provi ng

it 194

Problems and proofs Being logical VYhat WCfe we talking about?

Glossary

2 4

Index 2 6

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