The History of Mathematical Proof in Ancient Traditions

Title in Chinese

Pinyin transliteration

Wade-Giles transliteration

Translation adopted in this paper

Translation adopted in Martzloff

1997

Hai dao suan jing

Hai tao suan ching

Computational treatise [beginning with a problem] about a sea island

Sea Island Computational Canon

Jiu zhang suan fa bi lei da quan

Chiu chang suan fa pi lei ta ch’uan

Great compendium of the computational methods of nine categories [and their] generics

Fully Comprehensive [Collection of ] Computational Methods in Nine Chapters with [New Problems and Rules] Devised by Analogy with [Ancient Problems and Rules]

Jiu zhang suan shu

Chiu chang suan shu

Computational procedures of nine categories

Computational Prescriptions in Nine Chapters

Qi gu suan jing

Ch’i ku suan ching

Computational treatise on the continuation of [traditions] of ancient [mathematicians]

Computational Canon of the Continuation of Ancient

San deng shu

San teng shu

Numbers of three ranks

Th e Art of the Th

ree Degrees

Shu shu ji yi

Shu shu chi i

Records of the procedures of numbering left

behind

for posterity

Notes on the Traditions of Arithmo-Numerological Processes

Suan fa tong zong

Suan fa t’ung tsung

Summarized fundamentals of computational methods

General Source of Computation Methods