Seki Takakazu is a Japanese mathematician in an early period of the Edo era, known as the first person to study the so-called 'determinant' in the world. He died on 24 October 5, which corresponds to 5 December 1708 in the current solar calendar, and we celebrate his 300th posthumous anniversary this year.
Yoshida Mitsuyoshi's "Jinkoki".- The Nine Chapters of Mathematical Procedures.- Zhu Shijie's "Suanxue Qimeng".- A comparative study on traditional mathematics of Korea and Japan).- Seki Takakazu, his life and bibliography.- Seki Takakazu's biography and "Kanjo-gata Wasan Era" (1674--1780).- Leibniz' theory of elimination and determinants.- Algebra, elimination theory and "Complete Books of Mathematics".- "Sanpo-Hakki," the first published book on determinants, and the related works by Seki and others.- Remarks on the polynomial algebra of the Song-Yuan dynasties and its continuation in Edo Japan.- A study on "The Nine Chapters of Mathematical Procedures" and Liu Hui's mathematical theory.- Babylonian number theory and trigonometric functions: Trigonometric table and Pythagorean triples in the mathematical tablet Plimpton 322.- Mathematics in the Song and Yuan Dynasties, "Axis of Mathematical Methods".- "Katsuyo Sanpo", resume of works on mathematics of Seki Takakazu.- Seki Takakazu's measuring process of the volume of solids derived from spheres.- Archimedes in China -- Archimedes and his works in Chinese literature of the Ming and Qing dynasties.- Influence of European mathematics on pre-Meiji Japan.- Mathematics exchanges between China and Japan in modern times (1850's-- 1920's).- Takakazu Seki's method of calculating the volume of solids of revolution.- Some reflections on "main lines" of mathematical development.- Ming Antu and his power series expansions.- Power series expansions in India around 1400.- Theories of circles originated by Seki and Takebe Katahiro.- Takebe Katahiro's algorithms to find the circular arc length.- "Kohai-Setsuyaku-Shu" regarded as a work of Takebe Katahiro.- The mathematics of and around Seki Takakazu from a modern mathematician's viewpoint.- Vietnamese mathematics and mathematics education: adaptation or invention?.- On the history of mathematics in Vietnam.- Standing on the shoulders of a giant -- Influence of Seki Takakazu on Takebe Katahiro's mathematical achievement.- "Ruiyaku-Jutsu" the method of successive divisions.- How did Chinese deal with a scientific problem? -- A case study of the solar eclipse theory.- Mathematical astronomy of Seki Takakazu and Shibukawa Harumi.- Understanding and overcoming the Chinese traditional calendars.
Number Of Pages: 610
Published: 28th December 2012
Dimensions (cm): 23.5 x 15.5