Expounding the mathematical seed : a translation of Bhāskara I on the mathematical chapter of the Āryabhatīya

書誌事項

Expounding the mathematical seed : a translation of Bhāskara I on the mathematical chapter of the Āryabhatīya

Agathe Keller

(Science networks, historical studies, v. 30-31)

Birkhäuser, c2006

  • : set
  • v. 1
  • v. 2

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注記

Contents: v. 1. The translation -- v. 2. The supplements

Includes bibliographical references (v. 2, p. [227]-233) and indexes

内容説明・目次

巻冊次

v. 1 ISBN 9783764372910

内容説明

In the 5th century, the Indian mathematician Aryabhata wrote a small but famous work on astronomy in 118 verses called the Aryabhatiya. Its second chapter gives a summary of Hindu mathematics up to that point, and 200 years later, the Indian astronomer Bhaskara glossed that chapter. This volume is a literal English translation of Bhaskara's commentary complete with an introduction.

目次

On the Translation.- On the Translation.- The Translation.- on Mathematics.
巻冊次

v. 2 ISBN 9783764372927

内容説明

In the 5th century, the Indian mathematician Aryabhata wrote a small but famous work on astronomy in 118 verses called the Aryabhatiya. Its second chapter gives a summary of Hindu mathematics up to that point, and 200 years later, the Indian astronomer Bhaskara glossed that chapter. Volume 1 of this work was an English translation of Bhaskara's commentary, and this volume contains explanations for each verse commentary translated in volume 1.

目次

Supplements.- BAB.2.3.- BAB.2.4-5.- BAB.2.6.- BAB.2.7.- BAB.2.8.- BAB.2.9.- BAB.2.10.- BAB.2.11.- BAB.2.12.- BAB.2.13.- BAB.2.14.- BAB.2.15.- BAB.2.16..- BAB.2.17.- BAB.2.18.- BAB.2.19-22.- BAB.2.23-24.- BAB.2.25.- BAB.2.26-27.- BAB.2.28.- BAB.2.29.- BAB.2.30.- BAB.2.31.- BAB.2.32-33: The pulverizer.
巻冊次

: set ISBN 9783764372996

内容説明

This set of books presents an english translation of a 7th century sanskrit commentary written by an astronomer called Bhaaskara. There are two volumes: Volume I contains an introduction and the literal translation. The introduction aims at providing a general background for the translation and is divided in three sections: The first locates Bhaaskara's text, the second looks at its mathematical contents and the third section analyzes the relations of the commentary and the translation. Subjects treated range from computing the volume of an equilateral tetrahedron to the interest on a loaned capital, from computations on series to an elaborate process to solve a Diophantine equation. Volume II contains a commentary for each verse which discusses the linguistic and mathematical matter exposed by the commentator. This volume also contains glossaries and the bibliography. The two volumes should be read simultaneously.

目次

See Vols. 1 and 2.

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