Day 22: Archimedes

Summary

The rise of Rome.
The Punic wars and the role of Syracuse.
The Works of Archimedes.
Archimedean mathematics vs. Euclidean mathematics.
Differences in content and differences in style.
Method of exhaustion, geometrical propositions.
We will discuss the following:
On the Sphere and Cylinder I: Introduction, Definitions, Assumptions and Propositions 1, 33 and 34.
Dimension of the Circle: Propositions 1-3.

Reading

Archimedes, The Works, selections.
R. Calinger, Classics of Mathematics, 131-137, 141-145.

Homework

Prepare assigned Archimedean propositions.


On to Day 23.



Up to Ancient and Classical Mathematics


Last modified: 9 November 2005
Duncan J. Melville

Comments to dmelville@stlawu.edu