BK21 PLUS 타이거 세미나 ( 2017.1.31 화 ) 발 표 자 : 김 소 영 제 목 : Synthetic division and Hong Jeong-ha's synthetic expansion 내 용 : Tianyuanshu and Zengcheng Kaifangfa introduced in the Song–Yuan dynasties and their contribution to the theory of equations are one of the most important achievements in the history of Chinese mathematics. The mathematical structure of polynomials have been overlooked by traditional mathematics books. Investigation of GuIlJib (九一集) of Joseon mathematician Hong Jeong Ha reveals that Hong’s approach to polynomials is highly structural. Hong invented a new method whichwe name Hong JeongHa’s synthetic expansion. Using this, he reveals that the processesin Zhengcheng Kaifangfa is not synthetic division but synthetic expansion. DEPARTMENT OF MATHEMATICS KOREA UNIVERSITY 145 Anam-ro, Seongbuk-gu, Seoul 02841, Korea Tel. +82-2-3290-4744 Fax. +82-2-929-8562