The History of Mathematics: A Brief Course

22 2. MATHEMATICAL CULTURES I according to their awareness. Those having five senses are the highest, and those having only one ...

INDIA 23 These verses are known collectively as the Sulva Sutras or Sulba Sutras. The name means Cord Rules and probably refle ...

24 2. MATHEMATICAL CULTURES I the Sun), from the late fourth century, has survived intact. Another from approx- imately the same ...

INDIA 25 By the grace of God the precious sunken jewel of true knowledge has been rescued by me, by means of the boat of my ow ...

26 2. MATHEMATICAL CULTURES I The Vija Ganita consists of nine chapters, in the last of which Bhaskara tells something about him ...

CHINA^27 Srinivasa Ramanujan. The topic of power series is one in which Indian mathemati- cians had anticipated some of the di ...

28 2. MATHEMATICAL CULTURES I is nothing positive that serves as an evidence of any actual Indian influence upon the Chinese mat ...

CHINA 29 claims the authority to rule Taiwan. The American mathematician Walter Feit (1930-2004) visited China in May 1976 and ...

30 2. MATHEMATICAL CULTURES I also of importance both for the individual and for the state. Surveying is of use in any society w ...

CHINA 31 is valued because it trains the mind. "If one neglects its study, one will not be able to achieve excellence and thor ...

32 2. MATHEMATICAL CULTURES I by the Mongol emperor Kublai Khan and its capital established at what is now Beijing. Unification ...

CHINA 33 devoted to the mathematical proof in the proper sense of the term." Du Zhigeng also attempted to synthesize the tradi ...

34 2. MATHEMATICAL CULTURES I 4. Ancient Egypt Although mathematics has been practiced in Egypt continuously starting at least 4 ...

MESOPOTAMIA 35 (Apepi I). From this information Egyptologists arrived at a date of around 1650 BCE for this papyrus. Ahmose te ...

36 2. MATHEMATICAL CULTURES I texts deciphered and analyzed. The most complete analysis of these is the 1935 two-volume work by ...

THE MAYA 37 certain technique is presumed. Thus, although there is an unavoidable lack of unity and continuity in the Mesopota ...

38 2. MATHEMATICAL CULTURES I considerable work had been done earlier on the codex by another director of the Dresden library, a ...

QUESTIONS AND PROBLEMS 39 them" (quoted by Mackay, 1991, p. 172). Granting that at the final point of contact between theory and ...

40 2. MATHEMATICAL CULTURES I I = 1.5 and | = 1.75. Get upper and lower estimates in this way for all numbers of turns from 1 to ...

Chapter 3. Mathematical Cultures II Many cultures borrow from others but add their own ideas to what they borrow and make it int ...