Seki, Founder of Modern Mathematics in Japan

Part I Contributed papers.- Seki Takakazu, His Life and Bibliography.- Some Reflections on Main Lines of Mathematical Development.- Babylonian Number Theory and Trigonometric Functions: Trigonometric Table and Pythagorean Triples in the Mathematical Tablet Plimpton 322.- Archimedes in China: Archimedes and His Works in Chinese Literature of the Ming and Qing Dynasties.- The Nine Chapters on the Mathematical Procedures and Liu Hui’s Mathematical Theory.- On the Alternative Algorithm of the 7th Problem in the Sea Island Mathematical Canon.- A Comparative Study on Traditional Mathematics of Korea and Japan.- The Axes of Mathematical Methodology in the Song and Yuan Dynasties: The Construction of Mathematical Models.- The Suanxue Qimeng and Its Influence on Japanese Mathematics.- Power Series Expansions in India Around A. D. 1400.- An Early Japanese Work on Chinese Mathematics in Vietnam: Yoshio Mikami’s Study of the Vietnamese Mathematical Treatise Chi Minh Toan Phap.- The Jinkōki of Yoshida Mitsuyoshi.- Résumé of Works on Mathematics of Seki Takakazu.- Seki Takakazu’s Measuring Process of the Volume of Solids Derived from Spheres.- Seki Takakazu’s Method on the Remainder Problem.- Seki Takakazu’s Method of Calculating the Volume of Solids of Revolution and His Mathematical Object.- Leibniz’s Theory of Elimination and Determinants.- Algebra, Elimination and the Complete Book of Mathematics.- Some Questionsand Observations Around the Mathematics of Seki Takakazu.- Ming Antu and His Power Series Expansions.- Standing on the Shoulders of the Giant Influence of Seki Takakazu on Takebe Katahiro’s Mathematical Achievements.- Takebe Katahiro’s Algorithms for Finding the Circular Arc Length.- The Method of Successive Divisions by Takebe Katahiro and Nakane Genkei.- Manuscripts in the Edo Period: Preliminary Study on Manuscripts Written by Seki Takakazu.- Influence of European Mathematics on Pre-Meiji Japan.- On Contemporary Mathematics in Vietnam.- Part II Supplements.- Notes on Complete Book of Mathematics Vol. 4: Three Essentials.- Complete Book of Mathematics Vol. 4: Three Essentials, by Seki Takakazu, Takebe Kataakira and Takebe Katahiro, collated by Fumiaki Ozaki and Hikosaburo Komatsu.- Seki’s Trilogy: Methods of Solving Explicit Problems, Methods of Solving Implicit Problems and Methods of Solving Concealed Problems.- Methods of Solving Explicit Problems, by Seki Takakazu, collated by Hikosaburo Komatsu.- Methods of Solving Implicit Problems, by Seki Takakazu, collated by Hikosaburo Komatsu.- Methods of Solving Concealed Problems, by Seki Takakazu, collated by Hikosaburo Komatsu.- Notes on Complete Book of Mathematics Vol. 10: Geometry.- Complete Book of Mathematics Vol. 10: Geometry, by Seki Takakazu, Takebe Kataakira and Takebe Katahiro, collated by Hikosaburo Komatsu.- Seki’s Theory of Elimination as Compared with the Others’.