Katsuyō sanpō

The Katsuyō Sanpō (1712; "Compendium of Mathematics") is a significant mathematical work attributed to Seki Takakazu, a pivotal figure in the Japanese wasan (Japanese calculation) tradition. This work, compiled by one of Seki's disciples, focused on the measurement of circles and arcs.1

Seki Takakazu (c. 1640–1708) was instrumental in reviving and expanding upon ancient Chinese mathematical knowledge. He developed powerful new algebraic tools, including a tabular notation system that simplified the handling of equations with multiple unknowns. His research also extended methods for finding roots of higher-degree polynomial equations.1

The Katsuyō Sanpō played a role in establishing the Seki School of Mathematics, which became a prominent center for mathematical study in Japan until the 19th century. The wasan tradition, which flourished from the 17th to the mid-19th century, saw Japanese mathematicians elaborate on Chinese methods and develop new mathematical directions.12