The History of Mathematics: A Brief Course

42 3. MATHEMATICAL CULTURES II observations." Among the techniques transmitted to the Greeks and ultimately to the modern world ...

GREEK AND ROMAN MATHEMATICS 43 Theon of Smyrna (ca. 100 CE) was the author of an introduction to mathemat- ics written as back ...

44 3. MATHEMATICAL CULTURES II Plato is famous for his theory of ideas, which had both metaphysical and epis- temological aspect ...

GREEK AND ROMAN MATHEMATICS 45 himself. Lasserre (1964, P- 17) believes that the most important mathematical work at the Acade ...

46 3. MATHEMATICAL CULTURES II Archimedes. Much more is known of Archimedes (ca. 287-212 BCE). About 10 of his works have been p ...

GREEK AND ROMAN MATHEMATICS 47 indeed I had put down everything just as it occurred to me, post- poning revision until the end ...

48 3. MATHEMATICAL CULTURES II last convulsive effort of Greek geometry which was now nearly dead and was never effectually revi ...

GREEK AND ROMAN MATHEMATICS 49 Like the geometer who applies all his powers To measure the circle, but does not find By thinki ...

50 3. MATHEMATICAL CULTURES II The Byzantine Empire and modern Greece. Mathematics continued in the Byzan- tine Empire until the ...

JAPAN 51 2.1. Chinese influence and calculating devices. All the surviving Japanese records date from the time after Japan had ...

52 3. MATHEMATICAL CULTURES II Wasanists were men of fine arts rather than men of mathematics in the European sense." According ...

JAPAN 53 Shogun. He died at the age of 66, leaving no direct heirs. His tomb in the Buddhist cemetery in Tokyo was rebuilt 80 ...

54 3. MATHEMATICAL CULTURES II (in European languages) mathematical work comparable to what was being done in Europe at the same ...

THE MUSLIMS 55 only their Arabic translations survive.^7 Second, the translators, inspired by the work they were translating, ...

56 3. MATHEMATICAL CULTURES II 3.2. Some Muslim mathematicians and their works. Continuing with our list of the major writers an ...

THE MUSLIMS^57 Abu-Kamil. Although nothing is known of the life of Abu-Kamil (ca. 850-93), he is the author of certain books o ...

58 3. MATHEMATICAL CULTURES II Al-Tusi. Nasir al-Din al-Tusi (1201-1274) had the misfortune to live during the time of the westw ...

EUROPE 59 at the monastery of St. Gerald in Aurillac. Throughout a vigorous career in the Church that led to his coronation as ...

60 3. MATHEMATICAL CULTURES II physical bodies from various points of view, formulated the Merton rule of uniformly accelerated ...

EUROPE 61 and how others were changed. A description of such a procedure, based partly on the work of his predecessors, was gi ...