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abacus 39, 62 aboriginal people 9-13 Achilles 57 adding machine 40 addition table 125 Aleph 133, 134 algebra 62, 71, 73, 77-

81, 91 Boolean 126-8 of the infinite 101 algorithm 78 altar geometry 69 analytical engine 41 geometry 93, 96, 102 Ancient

Chinese 17-18

the zero 24 Egyptians 15 Greeks 20 anti-symmetrical functions

99 Arabic numerals 23 Archimedes 61 area-function 107 arithmetic 12 averages 152-3 Aztecs 13 Babbage, Charles 41 Babylonians 16 base numbers 9-12 16

17, 37, 100 . . Battani, al-83 Berkeley, George

111-13 Bhaskara II 73 billion 31-3 Binomial Theorem 66 Bolyai, Janos 119 Boolean algebra 126-8 Brahmagupta 71 Brahmi Indians 19 calculation 39-41 calculus 70, 73, 101-10 calendar 25 Cantor, George 129 certainty 154 chaos theory 145

Chia Hsien 67 Chin Chiu Shao 65 Chinese maths 62-7

see also Ancient

Chinese Chiu Chang 64 Chu Shih Chieh 66 code see cryptography combinatorial analysis

80 common notions 60 complex numbers 30 computers 41, 141-8,

169 confidence limit see p-varue conic sections 95 constant function 99 constants 42, 94, 96 coordinate geometry 93 Copernicus, Nicolas

86 cosine 82, 99, 117 cotangents 83 counting 7 cryptography 151 cubed numbers see powers cubic equations 45 cubit 48 curves, property of 105 Davis, Philip 170 Dazzling, The 36 Oe~ence of Freethinking m Mathematics, A

112 derivatives 103-4 Descartes, Rene 91 design, mathematics 53 divination 22 Diderot, Denis 114 difference engine 41 differentiation 1O1--4

graphs 106 dimensions 120-1 Diophantus 87 distance function 105

174

Egyptians see Ancient

Egyptians Elements, The 59 ellipse 94 eq~~tions 42-7, 62, 69, error bars 51 ethnomathematics

166-7 Euclid 59-B1 Euler, Leonhard 114 Euler's formula 115-17 European maths 88-92,

16~5 exponential function 37,

99, 100 Fermat, Pierre de 150 Flatland 121 formalism 122 four-colour theorem

147-8 fractal geometry 143-4 fractions 28, 129-30 functions 117

anti-symmetrical 99 area 107 constant 99 differentiation of 102 distance 105 exponential 37, 99,

100 logarithmic 1 00 periodic 99, 107 polynomial 98 power99 root 98 symmetrical 99 trigonometric 99 Galois, Evariste 122-5 gematria 22 gender and maths 168 geometry 59, 118

altar69 analytical 93, 96, 102 coordinate 93 fractal 143-4 plane 93 spherical 84

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