Characteristics of its heyday: Alexandria was the heyday of ancient Greek mathematics, which was characterized by its separation from philosophy and its independence as a real deductive science. Axiomatic method has made quite good achievements in geometry and algebra has also made some achievements. Greek mathematics reached its peak, and outstanding mathematicians included Euclid, Archimedes and Apollonius.

1, Euclid Euclid's Elements of Geometry, which is the crystallization of ancient Greek mathematical achievements, ideas, methods and spirit. It is the most widely distributed and widely used book in the whole history of science and has become the "Bible" of mathematics. Its great historical significance lies in that it is the earliest example of establishing deductive system by axiomatic method.

2. Archimedes, the god of mathematics, is a physicist and mathematician. He is good at combining abstract theory with the concrete application of engineering technology, gaining insight into the essence of things in practice, and raising empirical facts into theory through strict argumentation. 3. Apollonius' main contribution is the in-depth study of conic section. He finished the book On conic section handed down from generation to generation. The tangent problem of his conic section became one of the driving forces for the development of calculus and played an important role in the development of mathematics in the17th century. The achievements of Euclid, Archimedes and Apollonius marked the pinnacle of Greek geometry. With their limited skills, they have achieved most of the results obtained by using these skills.