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Greek mathematics

An illustration of Euclid's proof of the Pythagorean theorem

Greek mathematics refers to mathematics texts and ideas stemming from the Archaic through the Hellenistic and Roman periods, mostly from the 5th century BC to the 6th century AD, around the shores of the Mediterranean.[1][2] Greek mathematicians lived in cities spread over the entire region, from Anatolia to Italy and North Africa, but were united by Greek culture and the Greek language.[3] The development of mathematics as a theoretical discipline and the use of deductive reasoning in proofs is an important difference between Greek mathematics and those of preceding civilizations.[4][5]

  1. ^ Sidoli, Nathan (2020). Taub, Liba (ed.). "Ancient Greek Mathematics" (PDF). The Cambridge Companion to Ancient Greek and Roman Science: 190–191. doi:10.1017/9781316136096.010.
  2. ^ Netz, Reviel (2002). "Greek mathematics: A group picture". Science and Mathematics in Ancient Greek Culture. pp. 196–216. Retrieved 2024-03-04.
  3. ^ Boyer, C.B. (1991). A History of Mathematics (2nd ed.). New York: Wiley. p. 48. ISBN 0-471-09763-2.
  4. ^ Knorr, W. (2000). Mathematics. Greek Thought: A Guide to Classical Knowledge: Harvard University Press. pp. 386–413.
  5. ^ Schiefsky, Mark (2012-07-20), "The Creation of Second-Order Knowledge in Ancient Greek Science as a Process in the Globalization of Knowledge", The Globalization of Knowledge in History, MPRL – Studies, Berlin: Max-Planck-Gesellschaft zur Förderung der Wissenschaften, ISBN 978-3-945561-23-2, retrieved 2021-03-27

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