Achievements
Greek mathematics constitutes a major period in the history of mathematics, fundamental in respect of geometry and the idea of formal proof. Greek mathematics also contributed importantly to ideas on number theory, mathematical analysis, applied mathematics, and, at times, approached close to integral calculus.
Euclid, fl. 300 BC, collected the mathematical knowledge of his age in the Elements, a canon of geometry and elementary number theory for many centuries.
The most characteristic product of Greek mathematics may be the theory of conic sections, largely developed in the Hellenistic period. The methods used made no explicit use of algebra, nor trigonometry.
Eudoxus of Cnidus developed a theory of real numbers strikingly similar to the modern theory developed by Dedekind, who indeed acknowledged Eudoxus as inspiration.
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