Bija ganita, or, The algebra of the hindus
著者
書誌事項
Bija ganita, or, The algebra of the hindus
(Cambridge library collection)
Cambridge University Press, c2013
- : pbk
大学図書館所蔵 全4件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Reprint. Originally published: London : W. Glendinning, 1813
内容説明・目次
内容説明
An important mathematician and astronomer in medieval India, Bhascara Acharya (1114-85) wrote treatises on arithmetic, algebra, geometry and astronomy. He is also believed to have been head of the astronomical observatory at Ujjain, which was the leading centre of mathematical sciences in India. Forming part of his Sanskrit magnum opus Siddhanta Shiromani, the present work is his treatise on algebra. It was first published in English in 1813 after being translated from a Persian text by the East India Company civil servant Edward Strachey (1774-1832). The topics covered include operations involving positive and negative numbers, surds and zero, as well as algebraic, simultaneous and indeterminate equations. Strachey also appends useful notes made by the orientalist Samuel Davis (1760-1819). Of enduring interest in the history of mathematics, this was notably the first work to acknowledge that a positive number has two square roots.
目次
- Preface
- Introduction
- 1. On affirmative and negative
- 2. On the cipher
- 3. On unknown quantities
- 4. On surds
- 5. On indeterminate problems of the first degree
- 6. On indeterminate problems of the second degree
- Book 1. On simple equations
- Book 2. On quadratic equations
- Book 3. On equations involving indeterminate questions of the first degree
- Book 4. On equations involving indeterminate questions of the second degree
- Book 5. On equations involving rectangles
- Mr Davis's notes.
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