Li Ye Zhu Shijie and Jin Yuan Mathematics

Author: Kong Guoping
Publisher:
Publish Date: 2000-02-01
Features: As is well known, Song-Jin-Yuan mathematics represents the peak of traditional Chinese mathematics and holds an important position in the history of world mathematics. The mainstream of mathematical development during this period was the theory of equations, evolving from Jin Dynasty's Tianyuan method, through binary and ternary methods to Yuan Dynasty's four-element method, demonstrating a continuous developmental trend. The abstraction of Jin Dynasty mathematics increased compared to previous periods, and its style also began to change, giving rise to a mathematical system primarily based on deduction. Additionally, Jin Dynasty mathematics achieved programmatization and semi-symbolization. This book is one of the volumes in the "Great Series of the History of Chinese Mathematics," primarily introducing the development and discoveries of Song-Jin-Yuan mathematics. So, how did the prosperity of Jin-Yuan mathematics come about? What remarkable mathematical achievements emerged during this period, and how were they achieved? What outstanding ideas did the mathematicians exhibit? Why did the mathematical theory of the late Yuan Dynasty decline? The purpose of this book is to explore these questions and attempt to provide answers.