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Research on Formation of Newton’s Work Universal Arithmetic and Its Content and Influence

DOI: 10.12677/ISL.2023.71003, PP. 10-16

Keywords: 牛顿,广义算术,方程,代数
, Universal Arithmetic, Equation, Algebra

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Newton’s algebraic work Universal Arithmetic published in 1707 influenced a large number of Eu-ropean mathematicians and scientists to learn mathematics in the following three centuries. Re-cently, with the continuous development of research on Newton’s mathematics and science, more and more scholars have discussed this book. This paper combined Newton’s original works and the mathematical work at that time and sorted out the previous relevant research by means of litera-ture analysis, and found that the existing research mainly focuses on five aspects, that is the publication, content sources, specific content analysis, mathematical thoughts and methods and their influence. However, most of these five aspects are not comprehensive or in-depth except for two specific aspects which are the conic construction theory, which is one of the current research hotspots, given by Newton and the method of determining the imaginary root and range of the equation. It is suggested that the follow-up research should pay more attention to the source of the content in this book and Newton’s mathematical thinking method reflected in it.


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