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Index
Title Page
Copyright Page
Contents
Introduction
Numbers & Counting
GLOSSARY
Fractions & Decimals
Rational & Irrational Numbers
Imaginary Numbers
Counting Bases
Prime Numbers
Fibonacci Numbers
Pascal’s Triangle
profile: Blaise Pascal
Number Theory
Making Numbers Work
GLOSSARY
Zero
Infinity
Addition & Subtraction
Multiplication & Division
Exponentials & Logarithms
Functions
profile: Gottfried Leibniz
Calculus
Chance is a Fine Thing
GLOSSARY
Game Theory
Calculating the Odds
profile: Girolamo Cardano
The Law of Large Numbers
The Gambler’s Fallacy – Law of Averages
The Gambler’s Fallacy – Doubling Up
Randomness
Bayes’ Theorem
Algebra & Abstraction
GLOSSARY
The Variable Placeholder
The Equation
Polynomial Equations
profile: Abu ‘Abdallah Muhammad ibn Musa al-Khwarizmi
Algorithms
Sets & Groups
Rings & Fields
Geometry & Shapes
GLOSSARY
Euclid’s Elements
Pi – The Circle Constant
The Golden Ratio
profile: Pythagoras
Trigonometry
Squaring the Circle
Parallel Lines
Graphs
Another Dimension
GLOSSARY
Platonic Solids
Topology
Euler Bricks
The Möbius Strip
profile: Archimedes of Syracuse
Fractals
Origami Geometry
Rubik’s Cube
Knot Theory
Proofs & Theorems
GLOSSARY
Fermat’s Last Theorem
profile: Pierre de Fermat
The Four Colour Mapping Problem
Hilbert’s Program
Gödel’s Incompleteness Theorem
Poincaré’s Conjecture
The Continuum Hypothesis
Riemann’s Hypothesis
APPENDICES
Resources
Notes on Contributors
Index
Acknowledgements
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