A History of Greek Mathematics

История греческой математики
Thomas L. Heath
2013-11-21

Euclid's ElementsGreek geometryThales of Miletusancient Greek mathematicshistory of mathematics
'If one would understand the Greek genius fully, it would be a good plan to begin with their geometry.' As early as the sixth century BCE, Thales of Miletus used geometrical principles to calculate distance and height. Within a few hundred years, Euclid had produced his seminal Elements, which was still used as a textbook when this two-volume work was first published in 1921. A distinguished civil servant as well as an expert on ancient Greek mathematics, Sir Thomas Little Heath (1861–1940) includes here sufficient detail for a modern mathematician to grasp ancient methodology, alongside explanatory sections aimed at classicists. This remains a rigorous and essential exposition of a vast topic. Volume 1 includes an introduction that touches on the conditions which made possible the rapid development of philosophy and science in ancient Greece. The coverage begins with Thales and ends with Euclid.
1
It documents Thales of Miletus’s sixth-century BCE use of geometry to calculate distances and heights.
2
Its introduction examines the cultural and intellectual conditions that enabled the rapid development of philosophy and science in ancient Greece.
3
The exposition combines technical detail sufficient for modern mathematicians with explanatory material intended for classicists.
4
The volume traces Greek mathematical development from Thales through Euclid, including the emergence of Euclid’s seminal Elements.
5
The work presents a rigorous historical exposition of ancient Greek mathematics, emphasizing geometry as central to understanding Greek intellectual achievement.

ancient Greek mathematics from Thales to Euclid

historical development, methods, and intellectual conditions of ancient Greek mathematics, especially geometry

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2013-11-21
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Thomas L. Heath
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