Li (1811.2.1~1882.12.9) is a native of Haining Town, Zhejiang Province. When he lived in Jiaxing, he finished three books on mathematical research, such as Fiona Fang's explanation. Xianfeng arrived in Shanghai in the second year of Qing Dynasty (1852), and cooperated with the British and Ai in Mohai Library to translate western scientific and technological masterpieces in mathematics, mechanics, botany and astronomy, including the last nine volumes of Geometry, Algebra by British mathematician Di Morgan and Generation Classification by American mathematician Romis. When China's works on algebra, analytic geometry and calculus were first introduced to translation, he pioneered the Chinese translation of many mathematical terms and terms-algebra, differential, integral and so on. , and directly introduced mathematical symbols. The translation system that emphasizes learning systematically introduces the common sense of mechanics, the three laws of Newtonian mechanics and the theory of universal gravitation, all of which are familiar to Chinese people. The translated botany has created such translated names as botany, family, beard (stamen) and heart (pistil). He also translated "Talking about Heaven" and introduced the main research results of modern western astronomy.

Li's achievements in mathematical research mainly include three aspects: sharp cone, piling up and prime number theory. Before analytic geometry and calculus were introduced to China, the theory of cone-tip technology was mainly written in three works, namely, Fiona Fang's Interpretation, Revealing the Secret of Arrow and Logarithmic Exploration, about 1845. The concept of "sharp cone" founded by Li is a geometric model to deal with algebraic problems. His description of "sharp cone curve" is essentially equivalent to giving equations such as straight line, parabola and cubic parabola.

He created the quadrature of a cone. It is equivalent to the formula of definite integral and the law of item-by-item integration of power function. He independently obtained the power series expansion of binomial square root by "element separation" and obtained the infinite series expression of π by combining with "quadrature of sharp cone". The expansions of various trigonometric functions and inverse trigonometric functions, and the expansions of logarithmic functions.

Using calculus to deal with mathematical problems has achieved creative results. The superposition theory is mainly found in the superposition ratio class, which was written in the period of 1859 ~ 1867. This is a work about high-order arithmetic progression. Li started with the study of China's traditional accumulation problem and made some achievements equivalent to modern combinatorial mathematics. For example, "Triangular Stack Product Finding High Square Inexpensive Angular Table" and "Square Stack Inexpensive Table" are essentially the first famous Stirling numbers and Euler numbers in combinatorial mathematics. This is the famous "Li Identity" at home and abroad.

Since the 1930s, it has been widely concerned and appreciated by the international mathematics community. It can be considered that "stack-than-class" is the representative work of early combinatorial theory. The theory of prime numbers is mainly found in "Looking Up Numbers" published by 1872, which is the earliest work of prime number theory in China. When judging whether a natural number is a prime number, Li proved the famous Fermat prime number theorem and pointed out that its inverse theorem was not valid.