Development of Mathematics in China and Japan

Yoshio Mikami

Chelsea Pub Co | 1913| 384 páginas | rar - pdf | 37 Mb

link (password : matav)

CONTENTS
Prefatory note. By Prof. G. B. Halsted 
Introductory note
Contents . IX
Part I. The Chinese Mathematics 1
Chap. 1. Earliest period of Chinese mathematics 1
Chap . 2. The Chou - Pei . 4.
Chap. 3. The Chin-chang Soan-shu . 8
Chap. 4. The Sun-Tsii Suan- ching or the arithmetical classic of Sun-Tau 26
Chap. 6. The Haitao Suan-ching or the Sea-Island Arithmetical Classic  . . 88
Chap. 6. The Wu-t 's ao Suan-ching and the works of Hsia-hou Yang, Chang Ch'iu-chien and Chen Luan  87
Chap. 7. The circle-measurements by older Chinese mathematicians 46
Chap. 8. Wang Hs'iao - t'ung and cubic equations 68
Chap. 9. On the Indian influence 66
Chap. 10. Ch'en Huo 61
Chap . 11. Ch'in Chiu-shao . 68
Chap. 12. Li Yeh  . 79
Chap. 13. Yang Hui. 84.
Chap. 14. Chu Shih-chieh 89
Chap . 16. The Arabian influence, and Kuo Shou-ching 98
Chap. 16. The mathematics of the Ming Dynasty . . 108
Chap. 17. The introduction of the European mathematics 112
Chap. 18. The revival of old modes of mathematics and the state of subsequent years . 120
Chap 19. Later progress of the solution of equations  . 128
Chap. 20. The studies about the values of n by later Chinese mathematicians . 186
Chap. 21. Analytical studies about ci rc le-measurement. Infini te series 142
Part. ll. The Japanese Mathematics . 166
Cha p. 22. A general view of the Japanese mathematics 166
Chap. 23. A chronology of the Japanese mathematics . 178
Chap. 24. Seki's conce p tion of the determinant 191
Chap. 26. The values of n used by the Japanese mathematicians 200
CLap. 26. Japanese mathematicians' studies of the spherical volume 208
Chap. 27. Japanese mathllmaticians' studies of finding the surface of a sphere . 206
Chap. 28. A formula. for the square of an are of a circle in the Kwatsuyo Sampo of 1709 
Chap. 29. Some series for n used b:r the Japanese mathematicians
Chap. 30. Kurushima's circle-measurement . .
Chap. 31. Knrushima's method of continued fractions for the quadratic surd 
Chap. 32. Problems in indeterminate analysis in Matsunaga's manuscript
Chap. 33. The indeterminate equation :x^P - ky = a
Chap. 34. Ajima.'s Renjutsu Henkan 
Chap. 86. Ajima's study of circles successively inscribed forming a crown within a circle
Chap. 36 Aida's solution of the indeterminate equation 
Chap. 37. Aida's studies of the ellipse 
Chap. 88. Shiraishi's calculation of the ellipsoidal surface
Chap. 89 Sa.kabe-Ka.wa.i's solution of equations 
Chap. 40. Some tables used in the yenri calculations, and the equation of infinite degree
Chap. 41. On the wedge-sections in Hasegawa's Kyuseki Tsuko
Chap. 42. Magic squares
Chap. 48. The catenary
Chap. 4!. Hagiwara Teisuke 
Chap. 46. Hagiwara's formula. for the area of the curve described by a sphere rolling round an anchorring standing on a plane 
Chap. 46. The skew surface
Chap 47. A short notice of the historical studies of the Japanese mathematics
Index