A History of Mathematics From Mesopotamia to Modernity

266 Bibliography Greenberg, Marvin Jay, Euclidean and Non-Euclidean Geometries: Development and History. San Francisco, CA: W.H. ...

Bibliography 267 Khayyam, Omar (‘Umar al-Khayy ̄ ̄ am ̄i),The Algebra of Omar Khayyam(trans. and ed. Daoud S. Kasir). New York: ...

268 Bibliography Newton, Isaac, in D. T. Whiteside et al.(ed.),The Mathematical Papers of Isaac Newton, 8 vols, Cambridge: Cambr ...

Bibliography 269 Spengler, Oswald,Decline of theWest, London: George Allen and Unwin, 1934. Steele and Imhausen (eds.), Under On ...

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Index π Archimedes’ approximation 61–2, 157 estimation in Keralan mathematics 167, 168 Landau’s definition 238 transcendence of ...

272 Index arithmetic consistency of axioms 217 Kit ̄ab al Fus ̄ul f ̄ı al-His ̄ab al-Hind ̄ı (al-Uql ̄ıdis ̄ı) 106–7 Arithmetic( ...

Index 273 sources 80 transfers of knowledge 95–8 Chinese Remainder Theorem 78, 91 chord of an angle (Crdθ)68 Circle Limit III, ( ...

274 Index dodecahedron 46 Douady’s rabbit 248 –9 double entry bookkeeping, invention 142 double false position method 83–4 doubl ...

Index 275 geometry concept of infinity 194, 197 construction of 201–3 descriptive 198 , 236 development of axiom systems 206–7 p ...

276 Index infinitesimals 162 Leibniz’s use 173, 174 Newton’s use 170 present day use 182–3 infinities 151–3 use by Galileo 154, ...

Index 277 Ma Yize 95 machine construction, Heron 63–4, 65 machines, curve-drawing 150, 156 MacLane 250–1 Madhava 168 Mandelbrot ...

278 Index Pascal 165 use of the infinite 151 use in Chinese mathematics 92, 95 Peano, axiom systems 206 pentagon, construction o ...

Index 279 Ribet, Ken 255 Ricci, Matteo 98 Richards, Joan 193, 207 Riemann, Bernhard 191 On the Hypotheses which lie at the basis ...

280 Index table of powers, al-Samaw’al 118 tables, use in Islamic mathematics 118 , 119 , 122, 129 table texts 20 tablets, Babyl ...

Index 281 Yukti-bhasa 168 Youschkevitch, A. P. 3, 103–4 ab ̄u-l-Waf ̄a’ 107 al-Kash ̄ı 117 Islamic work on parallels 196 Khayyam ...