A History of Mathematics From Mesopotamia to Modernity

246 A History ofMathematics could be saved, how many expensive workers replaced^8 has been much faster than any of the pioneers ...

AChaoticEnd? 247 was found to be an easily teachable and attractive subject on university courses. This could not have been the ...

248 A History ofMathematics the screen. The most popular of all was thequadratic map(justax^2 +bx+c), in two forms: real (Feigen ...

AChaoticEnd? 249 Statistics, in the form of hypothesis testing developed in the early twentieth century, gave a useful way of de ...

250 A History ofMathematics Fig. 5The ‘Smale horseshoe map’ is often quoted as an example of chaotic behaviour. The mapftakes th ...

AChaoticEnd? 251 Fig. 6This object (also called a ‘string worldsheet’) is (a) a surface, (b) the story of two strings which (rea ...

252 A History ofMathematics All this was familiar to me from my research in high-energy physics, but until that moment I had onl ...

AChaoticEnd? 253 ++ Fig. 7The ‘classical’ model of the helium atom: two electrons orbiting a nucleus. The quantum model, ...

254 A History ofMathematics for many mathematicians there is a strong temptation to see Fritiof Capra’s intoxicated description ...

AChaoticEnd? 255 considered either a hopeless pursuit or a backwater was revived by Ken Ribet’s work in linking it to a central ...

256 A History ofMathematics 2 1 0 1 –0.5 0 0.5 1 x 1.5 –1 –2 0 0 Fig. 8Graph ofy^2 =x^3 −x. Fig. 9A torus (again); this is the ...

AChaoticEnd? 257 given until we reach §9. For the present I shall only say that the justification lies in the fact that the huma ...

258 A History ofMathematics Solutions to exercises These are perhaps unduly hard, but it is almost impossible to find easier one ...

AChaoticEnd? 259 In the casen=4, 2n− 1 =15;z=exp( 2 kπ/ 15 ).Ifk=0,zis of period 1 (fixed), while ifk=5, 10,zis of period 2 (usi ...

Conclusion Yesterday all the past. The language of size Spreading to china along the trade-routes; the diffusion Of the counting ...

Conclusion 261 Is the development of algorithms (the word comes by a circuitous route from the name al-Khw ̄arizm ̄i, chapter 5) ...

262 A History ofMathematics nodding acquaintance with intellectual property law. As in ancient Babylon, the military-industrial ...

Bibliography Ab ̄uK ̄amil,Shuj ̄a ibn Aslam: The Algebra of Ab ̄uK ̄amil in a commentary by Mordecai Finzi, tr. and ed. Martin L ...

264 Bibliography Bonola, Roberto,Non-Euclidean Geometry: with a supplement containing ‘The Theory of Parallels’ by Nicholas Loba ...

Bibliography 265 Dick, Auguste (tr. H. I. Blocher),Emmy Noether, 1882–1935. Boston, MA, Basel, New York, Stüttgart: Birkhäuser, ...