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Why is Seki Takakazu considered a founder of wasan mathematics?
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East Asian mathematics
Counting boards and markers, or counting rods, were used in China to solve systems of linear equations. This is an example from the 1st century ce.
Seki Takakazu is considered the founder of the wasan (Japanese calculation) tradition because he was the most influential figure in transforming and advancing mathematical practices in Japan during the 17th century.12
His foundational contributions include:
- Algebraic Innovation: Seki created a powerful "literal" written algebra, replacing the cumbersome Chinese method of counting rods with a tabular notational system. This allowed for the expression of coefficients using numbers, parameters, or unknowns, which liberated mathematicians from physical counting tools.12
- Generalization of Problems: He was instrumental in recovering neglected ancient Chinese mathematical knowledge and extending it to solve complex problems, such as those involving simultaneous equations of the nth degree.12
- Advanced Procedures: He developed procedures equivalent to the computation of determinants to eliminate unknowns and created methods to identify all real roots of higher-degree polynomial equations.12
- Institutional Legacy: Seki founded a prestigious school of mathematics that attracted the country's best minds. Through his disciples, such as Takebe Katahiro, his research was consolidated and disseminated, establishing a lasting tradition that flourished until the mid-19th century.12