...Notable examples include the solution of the aforementioned linear equation (Kuttaka) and the solution of quadratic equations of the form Nx 2 + 1 = y 2. The latter was almost solved by Brahmagupta, but the complete solution (called the method of circles) did not appear until the writings of Jayadeva (around the 11th century). In addition, the theory of permutations and combinations also developed independently, coupled with the Indian habit of enumeration. *Some of the terminology that mentions "Jayadeva (mathematician)" is listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
…特筆すべきものとしては,前出の二元一次不定方程式の解法(クッタカ)や,Nx2+1=y2の形の二次不定方程式の解法がある。後者はブラフマグプタによってほぼ解かれていたが,完全な解法(円環法と呼ばれる)が現れるのはジャヤデーバJayadeva(11世紀ころ)の書においてである。このほか,順列・組合せの理論もインド人の列挙癖と相まって独自の発達をとげた。… ※「Jayadeva(数学者)」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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