The Development Of The Theory Of Binary Quadratic Evolution

As a branch of number theory, the theory of binary quadratic forms has a long history. From noticing square numbers to studying special binary quadratic forms, and to exploring the general binary quadratic forms, it was a long and hard process.On the basis of abundant material, the present paper tries to summarize and analyze the evolution of the theory of binary quadratic forms;Centering on the development of binary quadratic forms, this paper illuminate its relationship to much important ideas in mathematics;It emphasizes the great significance of the development from specification to generalization, from infinity to finitude, and from concretion to abstraction. I hope that it is useful to the research of modern mathematics.