Ancient Greek mathematics abstracted mathematical theory from concrete things for deductive reasoning, which was the earliest embodiment of deductive mathematics and the establishment of basic mathematical methods and axioms. Ancient Greek mathematics can be divided into three periods. The first period is from Ionian school to Plato school, from the middle of the seventh century BC to the third century BC. The second period is the pre-Alexandria period, from Euclid to BC 146, Greece was trapped in Rome. The third period was the later period of Alexandria, which was ruled by Romans and ended when 64 1 Alexandria was occupied by Arabs. The first stage is to extract mathematics from nature and establish mathematics as an independent discipline; The second stage is to establish axioms and simple methods of geometric and algebraic calculation; The third problem is the revision and supplement of previous conclusions. Ancient Greek mathematics produced the mathematical spirit, that is, the deductive reasoning method of mathematical proof. The abstraction of mathematics and the belief that nature is designed according to mathematical methods have played a vital role in the development of mathematics and even science. And a series of thoughts such as rationality, certainty, eternity and irresistible regularity produced by this spirit occupy an important position in the history of human cultural development.

The overall characteristics are: creativity and evolution.