Liu Hui's mathematical works are rarely handed down to later generations, and all of them have been copied over and over again. His main works are: Nine Chapters of Arithmetic Notes (volume 10); The weight difference (1) was renamed as island calculation in the Tang Dynasty.

Judging from Nine Chapters Arithmetic itself, it was written in the early years of the Eastern Han Dynasty, and there are 246 ways to solve problems. In many aspects, such as solving simultaneous equations, calculating four fractions, calculating positive and negative numbers, calculating the volume and area of geometric figures, etc. , all belong to the advanced ranks in the world.

However, due to the primitive solution in the original book and the lack of necessary proof, Liu Huize wrote "Nine Chapters of Arithmetic Notes" and made supplementary proof. These proofs show his creative contributions in many aspects.