## Knobloch, Eberhard

# Seki, Founder of Modern Mathematics in Japan

**Table of contents**

**Part I. Contributed papers**

1. Seki Takakazu, His Life and Bibliography*Hideyuki Majima*

2. Some Reflections on Main Lines of Mathematical Development*Wenlin Li*

3. Babylonian Number Theory and Trigonometric Functions: Trigonometric Table and Pythagorean Triples in the Mathematical Tablet Plimpton 322*Kazuo Muroi*

4. Archimedes in China: Archimedes and His Works in Chinese Literature of the Ming and Qing Dynasties*Dun Liu*

5. The Nine Chapters on the Mathematical Procedures and Liu Hui’s Mathematical Theory*Shuchun Guo*

6. On the Alternative Algorithm of the 7th Problem in the Sea Island Mathematical Canon*Hideki Kawahara*

7. A Comparative Study on Traditional Mathematics of Korea and Japan*Yong-Woon Kim*

8. The Axes of Mathematical Methodology in the Song and Yuan Dynasties: The Construction of Mathematical Models*Shirong Guo*

9. The *Mitsuo Morimoto*

10. Power Series Expansions in India Around A. D. 1400*Setsuro Ikeyama*

11. An Early Japanese Work on Chinese Mathematics in Vietnam: Yoshio Mikami’s Study of the Vietnamese Mathematical Treatise

*Alexei Volkov*

12. The *Ken’ichi Sato*

13. Résumé of Works on Mathematics of Seki Takakazu*Osamu Takenouchi*

14. Seki Takakazu’s Measuring Process of the Volume of Solids Derived from Spheres*Toshio Sugimoto*

15. Seki Takakazu’s Method on the Remainder Problem*Sumie Tanabe*

16. Seki Takakazu’s Method of Calculating the Volume of Solids of Revolution and His Mathematical Object*Fumiaki Ozaki*

17. Leibniz’s Theory of Elimination and Determinants*Eberhard Knobloch*

18. Algebra, Elimination and the Complete Book of Mathematics*Hikosaburo Komatsu*

19. Some Questions and Observations Around the Mathematics of Seki Takakazu*Silke Wimmer-Zagier, Don Zagier*

20. Ming Antu and His Power Series Expansions*Jianjin Luo*

21. Standing on the Shoulders of the Giant Influence of Seki Takakazu on Takebe Katahiro’s Mathematical Achievements*Zelin Xu, Zhou Chang*

22. Takebe Katahiro’s Algorithms for Finding the Circular Arc Length*Mitsuo Morimoto*

23. The Method of Successive Divisions by Takebe Katahiro and Nakane Genkei*Tamotsu Tsuchikura*

24. Manuscripts in the Edo Period: Preliminary Study on Manuscripts Written by Seki Takakazu*Tomomi Nishida*

25. Influence of European Mathematics on Pre-Meiji Japan*Tatsuhiko Kobayashi*

26. On Contemporary Mathematics in Vietnam*Ha Huy Khoai*

**Part II. Supplements**

27. Notes on Complete Book of Mathematics Vol. 4: Three Essentials*Mitsuo Morimoto*

28. Complete Book of Mathematics Vol. 4: Three Essentials, by Seki Takakazu, Takebe Kataakira and Takebe Katahiro, collated by Fumiaki Ozaki and Hikosaburo Komatsu*Takakazu Seki, Kataakira Takebe, Katahiro Takebe*

29. Seki’s Trilogy: Methods of Solving Explicit Problems, Methods of Solving Implicit Problems and Methods of Solving Concealed Problems*Hikosaburo Komatsu*

30. Methods of Solving Explicit Problems, by Seki Takakazu, collated by Hikosaburo Komatsu*Takakazu Seki*

31. Methods of Solving Implicit Problems, by Seki Takakazu, collated by Hikosaburo Komatsu*Takakazu Seki*

32. Methods of Solving Concealed Problems, by Seki Takakazu, collated by Hikosaburo Komatsu*Takakazu Seki*

33. Notes on Complete Book of Mathematics Vol.10: Geometry*Hikosaburo Komatsu*

34. Complete Book of Mathematics Vol. 10: Geometry, by Seki Takakazu, Takebe Kataakira and Takebe Katahiro, collated by Hikosaburo Komatsu*Takakazu Seki, Kataakira Takebe, Katahiro Takebe*

35. Seki’s Theory of Elimination as Compared with the Others’*Takefumi Goto, Hikosaburo Komatsu*

**Keywords:** Mathematics, History of Mathematical Sciences, Mathematics, general, Algebra, Geometry

- Author(s)
- Knobloch, Eberhard
- Komatsu, Hikosaburo
- Liu, Dun
- Publisher
- Springer
- Publication year
- 2013
- Language
- en
- Edition
- 2013
- Series
- Springer Proceedings in Mathematics & Statistics
- Page amount
- 26 pages
- Category
- Natural Sciences
- Format
- Ebook
- eISBN (PDF)
- 9784431542735