Mathematics: An Illustrated History of Numbers

Introduction
Prehistory to the Middle Ages
	1 Learning to Count
	2 Positional Notation
	3 The Abacus
	4 Pythagoras Theorem
	5 The Rhind Papyrus
	6 Zero
	7 The Math of Music
	8 The Golden Ratio
	9 Platonic Solids
	10 Logic
	11 Geometry
	12 Magic Squares
	13 Prime Numbers
	14 Pi
	15 Measuring the Earth
	16 The Powers of Ten
	17 The Modern Calendar
	18 Diophantine Equations
	19 Hindu-Arabic Number System
	20 Algorithms
	21 Cryptography
	22 Algebra
	23 Fibonacci Sequence
The Renaissance and the Age of Enlightenment
	24 Perspective Geometry
	25 Non-Linear Equations
	26 Pendulum Law
	27 x and y
	28 Ellipses
	29 Logarithms
	30 Napier's Bones
	31 Slide Rule
	32 Complex Numbers
	33 Cartesian Coordinates
	34 Laws of Fall
	35 Calculators
	36 Pascal's Triangle
	37 Chance
	38 Principle of Induction
	39 Calculus
	40 Math of Gravity
	41 Binary Numbers
New Numbers, New Theories
	42 e
	43 Graph Theory
	44 Three-Body Problem
	45 Euler's Identity
	46 Bayes' Theorem
	47 Maskelyne and the Personal Equation
	48 Malthusianism
	49 Fundamental Theorem of Algebra
	50 Perturbation Theory
	51 Central Limit Theorem
	52 Fourier Analysis
	53 The Mechanical Computer
	54 Bessel Function
	55 Group Theory
	56 Non-Euclidean Geometry
	57 The Average Person
	58 The Poisson Distribution
	59 Quaternions
	60 Transcendental Numbers
	61 Finding Neptune
	62 Fechner-Weber Law
	63 Boolean Algebra
	64 Maxwell-Boltzmann
	65 Defining Irrationals
	66 Infinity
	67 Set Theory
	68 Peano Axioms
	69 Simple Lie Groups
	70 Statistical Techniques
Modern Mathematics
	71 Topology
	72 A New Geometry
	73 Hilbert's 23 Problems
	74 Mass Energy
	75 Markov Chains
	76 Population Genetics
	77 Foundations of Mathematics
	78 General Relativity
	79 The Mathematics of Quantum Physics
	80 Gbdel's Theorem
	81 Turing Machine
	82 Fields Medals
	83 Zuse and the Electronic Computer
	84 Game Theory
	85 Information Theory
	86 Geodesics
	87 Chaos Theory
	88 String Theory
	89 Catastrophe Theory
	90 Four-Color Theorem
	91 Public Key Encryption
	92 Fractals
	93 The Fourth Dimension and Beyond
	94 Classification of all Simple Finite Groups
	95 Self-Organized Criticality
	96 Fermat's Last Theorem
	97 Proof by Computer
	98 Millennium Problems
	99 Poincare Conjecture
	100 The Search for Mersenne Primes
	101 Mathematics: a guide
Imponderables
The Great Mathematicians
Bibliography and Other Resources
Index
Acknowledgements