At the age of 36, he completed a tetralogy of mathematics and astronomy collectively known as the Siddhānta-śiromaṇi. The Lilāvatī and Bījagaṇita are concerned with the two major branches of Indian mathematics, pāṭīgaṇita (mathematics using only known numbers) and bijagaṇita (mathematics using unknown numbers), respectively. The Siddhānta-śiromaṇi in the narrow sense consists of two parts on astronomy: the Gaṇitādhyāya, which focuses on the calculation of the positions of the planets, and the Goladhyāya, which deals primarily with problems in spherical astronomy. *Some of the terminology explanations that mention "Bījagaṇita" are listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
…36歳のとき《シッダーンタ・シローマニSiddhānta‐śiromaṇi》と総称される数学と天文学の四部作を完成した。そのうち《リーラーバティーLīlāvatī》と《ビージャガニタBījagaṇita》は,インド数学の二大分野であるパーティーガニタpāṭīgaṇita(既知数のみを用いる数学)とビージャガニタ(未知数を用いて行われる数学)をそれぞれ扱ったものである。狭義の《シッダーンタ・シローマニ》は天文学に関する二部,すなわち惑星の位置計算を主とする《ガニターディヤーヤGaṇitādhyāya》と球面天文学の問題を主として論ずる《ゴーラーディヤーヤGolādhyāya》とからなっている。… ※「《Bījagaṇita》」について言及している用語解説の一部を掲載しています。 出典|株式会社平凡社世界大百科事典 第2版について | 情報 |
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