There are many different Greek mathematicians including Anaxagoras, Apollonius, Archimedes, Archytas, Aristaeus, Aristotle, Bryson, Callippus, Chrysippus, Cleomedes, Conon, Democritus, Dinostratus, Eratosthenes, Euclid, Eutocius, Geminus, Heron, Hipparchus, Hippocrates, Hypatia, Menaechmus, Menelaus, Nicomachus, Nicomedes, Perseus, Plato, Posidonius, Pythagoras, Serenus, Thales, Theaetetus, Theon of Alexandria, Xenocrates and Zenodorus. The Greeks developed pure mathematics in the pre-Euclidean period.
The ancient Greeks divided mathematics into two different fields: arithmetic and geometry. Arithmetic studied the quantity of numbers and geometry studied the magnitude of the numbers. The Greeks first began using written numerals in 450 B,C,, however, the history of mathematics started in 30000 B.C. when Paleolithic people started to record numerical symbols on pieces of bone. Then, in 25000 B.C., the Egyptians created a decimal number system.
In 3000 B.C., the people in the Middle East developed the abacus, which was soon followed by the Babylonians sexagesimal number system. The Greek mathematicians helped to further mathematics when Hippocrates of Chios wrote "Elements," which was the first collection of the rules of geometry and Pythagoras wrote the Pythagorean theorem. Then, Hippias of Elis invented the quadratrix. This was useful for trisecting angles and squaring circles. In 387 B.C., in Athens, The academy was created by Plato. This center taught mathematics as well as philosophy and other disciplines.