Day 14: Introduction to Greece;Pythagoreans
Background history and geography of Greek civilization. In particular, we need
to understand the place of Greek culture in the genealogy
of Western civilization. There are profound differences in the ways
that Greeks organized their culture in comparison to the ancient
of Egypt and Mesipotamia. Also, the 'Greece' that is important
history of mathematics is different in many ways from the usual
Look at maps
from Historical Atlas.
Introduction to Greek mathematics and comparison with ANE and Egypt.
The Classical Ideal.
Early Greek mathematics.
Problems of interpretation and evidence.
Pythagorean number theory: special types of numbers; figurate numbers;
Music and mathematics.
Introduction to Greek
B.L. van der Waerden, Science Awakening, 92-102.
On to Day 15.
'Pythagoras of Samos,' DSB.
D.M. Burton History of Mathematics, Sections 3.2 and 3.3.
A. Jones, 'Greek Mathematics to AD 300', in I. Grattan-Guinness, Companion
Encyclopedia of the History and Philosophy of Mathematics, 46-57.
Up to Ancient
Last modified: 5 October 2005
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