Hua's achievements in mathematical research are mainly found in his book Xing Computing Draft, published in 1882. 1897 reprint * * * contains 6 books and 27 volumes. In his works such as Prescription, etc., he put forward a new method for finding the integer roots of higher-order equations with integral coefficients-"open root method", and Li commented that this method was "ten times simpler than the old method". In the comparison of products and other works, he discussed the role of difference method in the study of the accumulation of algebraic integer polynomials and products. Among them, "multiplier square product comparison table" and "sum comparison reduction table" have certain significance in combinatorial mathematics and difference theory. In his works such as Solving Several Roots, he discussed the "screening method" and proved that Fermat's prime number theorem is similar to Euler's proof method by multiplication and sharp pile. His achievements in mathematics were highly praised by the mathematics community at that time. His book "Talking about Learning Calculation" discusses mathematical theory, mathematical thoughts and methods of learning mathematics. This unique book was reprinted many times in the 1990s of 19, and was used as a mathematics textbook by many schools and colleges, so that "almost all students in Southeast China have their own books".

Hua's mathematical works include: Different Methods (1872), Solution of Several Roots (1), Ancient Meaning Recipe (II) (1880), Product Comparison (3) and Discussion on Learning Calculation. The above six kinds of income are summarized as "Su Xuan Calculation Draft" (1882). In addition, there are enlightenment books, such as "Explanation of Algorithms" and "Preliminary Steps of Western Computing". His research focuses on traditional mathematics, mainly in three aspects: the root method is to solve higher-order equations with integral coefficients. The skill of number root is the prime number theory in elementary number theory and its application. Product comparison technology is called difference technology, which is a finite difference method. Generally speaking, his research was limited by the development level of mathematics in China at that time, and his achievements were mainly in the early discrete mathematics. The technique of product comparison can be regarded as his masterpiece. In the second and third volumes of this book, the "square element multiplication table" and "multiplication table" are created, which are two related counting functions, and can establish a functional relationship with the first and second stedt numbers; Two sets of reciprocal formulas are given in the book, which belong to generalized Mobius inversion; In addition, his research also involves some combinatorial identities and generating function theorems with repeated combinations, which belong to the category of counting theory and have certain significance in combinatorial mathematics and differential science, and promoted the development of China's early combinatorial mathematics. The books translated by China in cooperation with foreign scholars are minerals, geology, meteorology and military engineering, and the other is mathematics. Together with John Flair, an Englishman, he translated 25 volumes of Algebra (1872), 8 volumes of Tracing the Origin of Differential Products (1874), 12 volumes of Trigonometry (1877) and Algebraic Problems. Digital combination 1 1 (1887), calculation method 14 (1899), etc.

Algebra and the Origin of Differential Calculus are two important works after Shan Li's Translation of Algebra and Classification of Differential Calculus (1859). In particular, The Mathematics of Doubt is the first book on probability theory compiled in China, which shows that the translator is aware of the role of probability theory as a mathematical tool in studying some social problems at that time. Hua's translated works are clear and fluent, with rich and colorful contents, which further spread the basic knowledge and methods of higher mathematics. He also introduced western mathematicians and the history of mathematics. He is the most influential person after Li introduced western computing.