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Knobloch, Eberhard

Seki, Founder of Modern Mathematics in Japan

Knobloch, Eberhard - Seki, Founder of Modern Mathematics in Japan, ebook

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ISBN: 9784431542735
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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 Suanxue Qimeng and Its Influence on Japanese Mathematics
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 Chi Minh Toan Phap

Alexei Volkov

12. The Jinkōki of Yoshida Mitsuyoshi
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)
 
 
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

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