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The development and evolution of the theory of binary quadratic

Author: HuJunMei
Tutor: DengMingLi
School: Hebei Normal
Course: Basic mathematics
Keywords: binary quadratic form equivalent form composition of forms group algebraic number theory general quadratic form
CLC: O156
Type: Master's thesis
Year: 2006
Downloads: 227
Quote: 0
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Abstract


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.

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CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Number Theory
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