A History of Greek Mathematics
История греческой математики
2013-11-21
SCID: 54.1/rk8ggzqw
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Diophantus of AlexandriaEuclid's ElementsGreek mathematicsancient Greek geometrypost-Euclidean mathematics
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Abstract (AI)
'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 2 focuses on post-Euclidian mathematics, beginning with the work of Aristarchus of Samos and extending to that of Diophantus of Alexandria. Heath had previously published separate studies on these two thinkers (also reissued in this series).
Key Findings
1
It emphasizes geometry as a foundation for understanding Greek mathematical achievement, beginning with Thales’ sixth-century BCE applications to measuring distance and height.
2
The broader historical context extends from Thales through Euclid, whose Elements remained a mathematical textbook for centuries, including at the work’s original publication.
3
The exposition is designed to make ancient Greek mathematical methods accessible to modern mathematicians while retaining relevance for classical scholars.
4
The work provides a rigorous historical exposition of ancient Greek mathematics, combining technical detail with explanations for classicists.
5
Volume 2 examines post-Euclidean mathematics, covering developments from Aristarchus of Samos through Diophantus of Alexandria.
Research Object
post-Euclidean ancient Greek mathematics, from Aristarchus of Samos to Diophantus of Alexandria
Research Subject
the methods, development, and achievements of post-Euclidean Greek mathematics
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2013-11-21
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