The History of Mathematical Proof in Ancient Traditions

532 alexei volkov

Table 15.3. Th e extant Tang dynasty mathematical textbooks and their

commentators^ a^

Number

Th e extant treatises

used in the

Mathematical College

Commentators as

specifi ed in offi cial

histories

Commentator(s) of

the extant treatises

1 Sun zi suan jing

(Computational treatise

of Master Sun)

Zhen Luan ( Jiu Tang

shu ); b^ Li Chunfeng

( Xin Tang shu ); Li

Chunfeng ( Song shi )

None.

2 Wu cao suan jing

(Computational treatise

of fi ve departments)

Li Chunfeng et al.

( Song shi )

N o n e

3 Jiu zhang suan shu

(Computational

procedures of nine

categories)

Li Chunfeng ( Xin

Tang shu ); Liu Hui;

Li Chunfeng et al.

( Song shi ) c^

Liu Hui; Li Chunfeng

et al.

4 Hai dao suan jing

(Computational

treatise [beginning

with a problem]

about a sea island)

Li Chunfeng ( Xin

Tang shu )

Li Chunfeng et al.

5 Zhang Qiujian suan jing

(Computational treatise

of Zhang Qiujian)

Zhen Luan; Li

Chunfeng ( Xin Tang

shu )

Liu Xiaosun ; Li

Chunfeng et al. d^

6 Xiahou Yang suan jing

(Computational

treatise of Xiahou Yang)

Zhen Luan ( Jiu Tang

shu and Xin Tang shu )

Th e author (Han Yan

, Tang dynasty)

7 Zhou bi suan jing

(Computational

treatise on the gnomon

of Zhou [dynasty])

Zhao Ying ; e^

Zhen Luan ( Jiu Tang

shu ); f^ Zhao Ying;

Zhen Luan; Li

Chunfeng ( Xin Tang

shu ) g^

Zhao Junqing ;

Zhen Luan; Li Chunfeng

et al.

8 Wu jing suan shu

(Computational

procedures [found]

in the fi ve classical

books)

Li Chunfeng ( Xin

Tang shu ); Li Chunfeng

( Song shi ) h^

Li Chunfeng et al.

Continued