A History of Mathematics- From Mesopotamia to Modernity

6AHistory ofMathematics A second well-known example, equally interesting, confronted the Greeks in the nineteenth century. A cla ...

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

Introduction 7 so far as to claim that different cultures (on which he was unusually well-informed) have different concepts of n ...

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

8AHistory ofMathematics argue that, since Babylonian mathematics has become absorbed into our own (and this too is open to argum ...

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

Introduction 9 Consider...the men who called Copernicus mad because he proclaimed that the earth moved. They were not either jus ...

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

10 A History ofMathematics seen as ‘true’ in the same sense after Einstein—Euclidean geometry is still valid, even if its status ...

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Introduction 11 as milieus, groups, and actors; and Dieudonné has died without conceding that anyone had earned his chocolate mi ...

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

12 A History ofMathematics and even chaos theory one could see outside forces at work. In earlier history, when we have the evid ...

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( ...

Introduction 13 Egyptians and Babylonians, or Youschkevitch on the Islamic tradition, may have been available for some time befo ...

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

1. Babylonian mathematics 1. On beginnings Obviously the pioneers and masters of hydraulic society were singularly well equipped ...

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

BabylonianMathematics 15 their priests. Writing of the most basic kind was developed around 3300bce, and continued using a more ...

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