As an organized, independent and rational subject, mathematics did not exist before the appearance of ancient Greek scholars in 600-300 BC. For example, the Egyptians and Babylonians were like rough carpenters, while the Greeks were masters of architecture. Greeks are second to none in the history of civilization and supreme in the history of mathematics. Its civilization lasted until around 600 AD. Historically, this period is called the period of classical mathematics, and the essence of its mathematical achievements is Euclid's Elements and apollonius (conic). The development of mathematics in Greece has its profound social reasons. For example, Greece, as a neighboring country of Babylon, and Egypt, as a slave society, carried out a series of reforms earlier, and in addition, the reform of writing was implemented around 775 BC. Many mathematical schools were formed in ancient Greece, such as Ionian school founded by Thales, Bigo Dallas school founded by Bigo Dallas, pseudo-argument school, Elijah school, Plato school and so on. Each school has accumulated a lot of mathematical knowledge, but it has not formed a relatively complete system. By the time of Alexandria (400 BC to AD 64 1 year), inspired by Plato's geometric thought, Greek mathematicians began to systematically sort out mathematical knowledge, separated it from philosophy, and became an independent discipline, developing from empirical science established through experiments and observations to deductive science, and systematically introduced logical proof into mathematics. It was the great mathematician Euclid who finished this epoch-making work. His representative work "The Elements of Geometry" initiated a new period of mathematics development and formed a system of elementary mathematics. Archimedes is one of the greatest mathematicians in mathematics education, and his works cover a wide range. At present, most of the preserved works are works in geometry, as well as some works in mechanics and calculation. In these studies, he not only had a profound understanding of all previous mathematical discoveries, but also foresaw the concept of exhaustive method, which played an important role in mathematics in the17th century. Apollonius's "Conic Curve Theory" had a far-reaching influence on the development of geometry, which dominated the mathematics field for nearly 2000 years, and it was not until the Descartes' era of17th century that the essential changes began. The geometry we learned in middle school today is Euclidean geometry. The contribution of the Greeks to the contents of mathematics-plane geometry and solid geometry, plane and spherical triangles, the germination of number theory, and the popularization of arithmetic and algebra in Babylon and Egypt-is enormous. The greatest contribution of the Greeks to mathematics is to insist that all mathematical results must be deduced by deduction according to clearly defined axioms. In understanding nature, the Greeks began to form a rational view. Paranoid Dallas and Plato believe that the authenticity hidden under the ever-changing Vientiane in nature is expressed by mathematics, and everything that happens in this world is strictly determined by mathematical laws. Only through mathematics can we understand the essence of the physical world. Greek civilization lasted until AD 640, and was finally destroyed by Muslims.