Mathematics of Takebe Katahiro and History of Mathematics in East Asia

This volume is a collection of papers contributed by participants at the "International Conference on Traditional Mathematics in East Asia and Related Topics" held August 25–30, 2014 at Ochanomizu University, Tokyo, Japan, which was one of the satellite conferences of the Seoul ICM 2014. The year 2014 also coincides with the 350th anniversary of the birth of Takebe Katahiro (1664–1739), one of the great mathematicians of the Edo period. In his honor, the conference was called the "Takebe Conference 2014."

This volume is divided into four parts and an appendix. Part one is concerned with Takebe Katahiro, his mathematics and his times. The editors believe that wasan represents one phase of the mathematics of East Asia, especially of China, Japan and Korea, for which ancient Chinese mathematics served as a basis, and Chinese characters as a lingua franca. Part two concerns the old mathematics of Korea in the Joseon Dynasty. Part three treats the mathematics of Ancient China. Part four, finally, follows the subsequent development of Japanese mathematics and mathematical education after the Meiji Restoration (1868). The very substantial appendix contains English translations of three volumes (12, 17 and 19) of the Taisei Sankei (twenty volumes, 1711), a monograph written by the master mathematician Seki Takakazu and the two Takebe brothers, Kata'akira and Katahiro.

Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

• Takebe Katahiro and His Times:
  • A Man of His Times: A Survey of His Life and Mathematical Thought (Tsukane Ogawa & Takebe Katahiro)
  • Two Different Types of Mathematicians (Kenji Ueno, Seki Takakazu & Takebe Katahiro)
  • On the Relation Between Point, Indivisible and Infinitely Small in Western Mathematics (Eberhard Heinrich Knobloch)
  • Takebe Katahiro's Inductive Methods of Numerical Calculation in Comparison with Jacobi Bernouilli's Ars Conjectandi of 1713 (Chikara Sasaki)
  • Determinants by Seki Takakazu from the Group-Theoretic Viewpoint (Naoki Osada)
  • Takebe Katahiro and the Shoushili Calendar (Zelin Xu)
  • Takebe Katahiro and Nakane Genkei (Tatsuhiko Kobayashi)
  • A Comparative Study of the Huangyu Quanlantu and Takebe Katahiro's Kyōhō Map of Japan (Sarina)
• Joseon:
  • Mathematics of the Joseon Dynasty — About the Tianyuanshu (Young Wook Kim)
  • Solving Equations in the Early 18th Century East Asia (Sung Sa Hong)
  • Nam Byeong-gil (1820–1869): A Confucian Mathematician and a "Promoter" of Mathematics in Late Joseon Period (Jia-Ming Ying)
• China:
  • Assessing the Accuracy of Ancient Eclipse Predictions (David Mumford)
  • On the Litian Problem of Bamboo Slips of the Qin Dynasty Collected by Peking University (Makoto Tamura)
  • The Methods of Constructing Magic Squares in the Chinese Book San-san Deng-shu Tu (Shirong Guo)
  • Chinese Mathematics and Western Athematics Integrated in the Tongwen Suanzhi (Zhigang Ji)
• Modern East Asia:
  • Some Aspects of the Mathematical Exchanges between China and Japan in Modern Times (Wenlin Li)
  • On the Table of Trigonometric Functions that was Introduced First to Japan (Jun Ozone)
  • Solving Sangaku with Traditional Technique (Rosalie Joan Hosking)
  • Kyūren kan — the Arima Sequence (Steffen Döll and Andreas M Hinz)
  • Western Mathematics on Japanese Soil — A History of Teaching and Learning of Mathematics in Modern Japan (Osamu Kota)
  • Hayashi Tsuruichi and the Success of the Tôhoku Mathematical Journal as a Publication (Harald KüMmerle)
• Appendix. Three Key Volumes from the Taisei Sankei:
  • Methods for a Circle, Volume 12 of the Taisei Sankei (Tsukane Ogawa and Mitsuo Morimoto)
  • The Theory of Well-Posed Equations, Volume 17 of the Taisei Sankei (Mitsuo Morimoto and Yasuo Fujii)
  • The Fifteen Examples of Algebraic Equations, Volume 19 of the Taisei Sankei (Mitsuo Morimoto and Yasuo Fujii)