CHINESE MATHEMATICS 60 1 



be able to appreciate the contributions of Chinese scholars even more 

 highly." 



" The writer is indebted to various works upon Chinese science, and to the 

 help of a number of scholars. It will possibly assist some reader if a few of 

 these authorities are mentioned: A. Wylie, "Chinese Eesearches," Shanghai, 

 1897, Pt. III., p. 159; M. Courant, " Bibliographie Coreene," Paris, 1896, Vol. 

 III., p. 2; J. Legge, "Chinese Classics," 2d ed., Vol. I., p. 4; H. Cordier, 

 "Bibliotheca Sinica," Paris, 1905-6, Vol. II., cols. 1372, seq.; A. Vissiere, 

 "Recherches sur I'abaque chinois, " in the Bulletin de Geographie, Paris, 1892; 

 S. W. Williams, "The Middle Kingdom," edition of 1895, Vol. I., Chap. XI.; 

 A. Wylie, * ' The Mongol Astronomical Instruments in Peking, ' ' in Vol. II. of 

 the "Travaux de la 3^. session du Congres internat. d. Orientalistes " ; A. Wylie, 

 "Jottings of the Science of Chinese Arithmetic," in the North China Herald 

 for 1852; M. L. Am. Sedillot, "De I'astronomie et des mathematiques chez les 

 Chinos," in the Boncompagni Bulletino, Vol. I., p. 161; Y. Mikami, "Mathe- 

 matical Papers from the Far East," Leipzig, 1910, p. 1; Y. Mikami, "A Remark 

 on the Chinese Mathematics in Cantor's Geschichte der Mathematik," in the 

 Archiv der Mathematik und Physik, Bd. XV. (3), S. 68, and Bd. XVIII. (3), 

 S. 209. There are also the various histories of mathematics, including those of 

 Montucla (2d ed., tome I., p. 451) and Cantor (Bd. I.). The writer is also 

 indebted to Dr. W. A. P. Martin and to Mr. Mikami for personal communica- 

 tions relating to the subject. He is also largely indebted to his pupil. Professor 

 T. H. Chen, of Peking, for numerous translations, including extracts from the 

 Chinese historian of mathematics, Mei Wuh-ngan, and a translation of the entire 

 T'se yiian Hai-ehing (1248) of Li Yeh. 



VOL. LXXX. — 40. 



