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Über dieses Buch

Seki was a Japanese mathematician in the seventeenth century known for his outstanding achievements, including the elimination theory of systems of algebraic equations, which preceded the works of Étienne Bézout and Leonhard Euler by 80 years. Seki was a contemporary of Isaac Newton and Gottfried Wilhelm Leibniz, although there was apparently no direct interaction between them.

The Mathematical Society of Japan and the History of Mathematics Society of Japan hosted the International Conference on History of Mathematics in Commemoration of the 300th Posthumous Anniversary of Seki in 2008. This book is the official record of the conference and includes supplements of collated texts of Seki's original writings with notes in English on these texts.

Hikosaburo Komatsu (Professor emeritus, The University of Tokyo), one of the editors, is known for partial differential equations and hyperfunction theory, and for his study on the history of Japanese mathematics. He served as the President of the International Congress of Mathematicians Kyoto 1990.

Inhaltsverzeichnis

Frontmatter

Contributed papers

Frontmatter

2013 | OriginalPaper | Buchkapitel

Seki Takakazu, His Life and Bibliography

Hideyuki Majima

2013 | OriginalPaper | Buchkapitel

Some Reflections on Main Lines of Mathematical Development

Wenlin Li

2013 | OriginalPaper | Buchkapitel

Babylonian Number Theory and Trigonometric Functions: Trigonometric Table and Pythagorean Triples in the Mathematical Tablet Plimpton 322

Kazuo Muroi

2013 | OriginalPaper | Buchkapitel

Archimedes in China: Archimedes and His Works in Chinese Literature of the Ming and Qing Dynasties

Dun Liu

2013 | OriginalPaper | Buchkapitel

The Nine Chapters on the Mathematical Procedures and Liu Hui’s Mathematical Theory

Shuchun Guo

2013 | OriginalPaper | Buchkapitel

On the Alternative Algorithm of the 7th Problem in the Sea Island Mathematical Canon

Hideki Kawahara

2013 | OriginalPaper | Buchkapitel

A Comparative Study on Traditional Mathematics of Korea and Japan

Yong-Woon Kim

2013 | OriginalPaper | Buchkapitel

The Axes of Mathematical Methodology in the Song and Yuan Dynasties: The Construction of Mathematical Models

Shirong Guo

2013 | OriginalPaper | Buchkapitel

The Suanxue Qimeng and Its Influence on Japanese Mathematics

Mitsuo Morimoto

2013 | OriginalPaper | Buchkapitel

Power Series Expansions in India Around A. D. 1400

Setsuro Ikeyama

2013 | OriginalPaper | Buchkapitel

An Early Japanese Work on Chinese Mathematics in Vietnam: Yoshio Mikami’s Study of the Vietnamese Mathematical Treatise Chi Minh Toan Phap

Alexei Volkov

2013 | OriginalPaper | Buchkapitel

The Jinkōki of Yoshida Mitsuyoshi

Ken’ichi Sato

2013 | OriginalPaper | Buchkapitel

Résumé of Works on Mathematics of Seki Takakazu

Osamu Takenouchi

2013 | OriginalPaper | Buchkapitel

Seki Takakazu’s Measuring Process of the Volume of Solids Derived from Spheres

Toshio Sugimoto

2013 | OriginalPaper | Buchkapitel

Seki Takakazu’s Method on the Remainder Problem

Sumie Tanabe

2013 | OriginalPaper | Buchkapitel

Seki Takakazu’s Method of Calculating the Volume of Solids of Revolution and His Mathematical Object

Fumiaki Ozaki

2013 | OriginalPaper | Buchkapitel

Leibniz’s Theory of Elimination and Determinants

Eberhard Knobloch

2013 | OriginalPaper | Buchkapitel

Algebra, Elimination and the Complete Book of Mathematics

Hikosaburo Komatsu

2013 | OriginalPaper | Buchkapitel

Some Questions and Observations Around the Mathematics of Seki Takakazu

Silke Wimmer-Zagier, Don Zagier

2013 | OriginalPaper | Buchkapitel

Ming Antu and His Power Series Expansions

Jianjin Luo

2013 | OriginalPaper | Buchkapitel

Standing on the Shoulders of the Giant Influence of Seki Takakazu on Takebe Katahiro’s Mathematical Achievements

Zelin Xu, Zhou Chang

2013 | OriginalPaper | Buchkapitel

Takebe Katahiro’s Algorithms for Finding the Circular Arc Length

Mitsuo Morimoto

2013 | OriginalPaper | Buchkapitel

The Method of Successive Divisions by Takebe Katahiro and Nakane Genkei

Tamotsu Tsuchikura

2013 | OriginalPaper | Buchkapitel

Manuscripts in the Edo Period: Preliminary Study on Manuscripts Written by Seki Takakazu

Tomomi Nishida

2013 | OriginalPaper | Buchkapitel

Influence of European Mathematics on Pre-Meiji Japan

Tatsuhiko Kobayashi

2013 | OriginalPaper | Buchkapitel

On Contemporary Mathematics in Vietnam

Ha Huy Khoai

Supplements

Frontmatter

2013 | OriginalPaper | Buchkapitel

Notes on Complete Book of Mathematics Vol. 4: Three Essentials

Mitsuo Morimoto

2013 | OriginalPaper | Buchkapitel

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

2013 | OriginalPaper | Buchkapitel

Seki’s Trilogy: Methods of Solving Explicit Problems, Methods of Solving Implicit Problems and Methods of Solving Concealed Problems

Hikosaburo Komatsu

2013 | OriginalPaper | Buchkapitel

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

Takakazu Seki

2013 | OriginalPaper | Buchkapitel

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

Takakazu Seki

2013 | OriginalPaper | Buchkapitel

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

Takakazu Seki

2013 | OriginalPaper | Buchkapitel

Notes on Complete Book of Mathematics Vol.10: Geometry

Hikosaburo Komatsu

2013 | OriginalPaper | Buchkapitel

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

2013 | OriginalPaper | Buchkapitel

Seki’s Theory of Elimination as Compared with the Others’

Takefumi Goto, Hikosaburo Komatsu

Backmatter

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