Author(s): Tom Jackson
Publisher: Shelter Harbor Press and Worth Press Ltd
Year: 2012
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
