Details
Expounding the Mathematical Seed. Vol. 1: The Translation
A Translation of Bhāskara I on the Mathematical Chapter of the ĀryabhatīyaScience Networks. Historical Studies, Band 30
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96,29 € |
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| Verlag: | Birkhäuser |
| Format: | |
| Veröffentl.: | 22.06.2006 |
| ISBN/EAN: | 9783764375928 |
| Sprache: | englisch |
| Anzahl Seiten: | 225 |
Dieses eBook enthält ein Wasserzeichen.
Beschreibungen
<P></P>
<P>In the 5th century the Indian mathematician Aryabhata (476-499) wrote a small but famous work on astronomy, the Aryabhatiya. This treatise, written in 118 verses, gives in its second chapter a summary of Hindu mathematics up to that time. Two hundred years later, an Indian astronomer called Bhaskara glossed this mathematial chapter of the Aryabhatiya.</P>
<P></P>
<P>An english translation of Bhaskara’s commentary and a mathematical supplement are presented in two volumes.</P>
<P></P>
<P>Subjects treated in Bhaskara’s commentary 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.</P>
<P></P>
<P>This volume contains an introduction and the literal translation.</P>
<P></P>
<P>The introduction aims at providing a general background for the translation and is divided in three sections: the first locates Bhaskara’s text, the second looks at its mathematical contents and the third section analyzes the relations of the commentary and the treatise.</P>
<P>In the 5th century the Indian mathematician Aryabhata (476-499) wrote a small but famous work on astronomy, the Aryabhatiya. This treatise, written in 118 verses, gives in its second chapter a summary of Hindu mathematics up to that time. Two hundred years later, an Indian astronomer called Bhaskara glossed this mathematial chapter of the Aryabhatiya.</P>
<P></P>
<P>An english translation of Bhaskara’s commentary and a mathematical supplement are presented in two volumes.</P>
<P></P>
<P>Subjects treated in Bhaskara’s commentary 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.</P>
<P></P>
<P>This volume contains an introduction and the literal translation.</P>
<P></P>
<P>The introduction aims at providing a general background for the translation and is divided in three sections: the first locates Bhaskara’s text, the second looks at its mathematical contents and the third section analyzes the relations of the commentary and the treatise.</P>
Introduction.- Situating Bhaaskara's commentary: The mathematical matter.- The commentary and ist treatise.- On the translation: Edition.- Technical Translations.- Compounds.- Numbers.- Synonyms.- Paragraphs.- Examples.- The Translation.
An important landmark in the international history of medieval mathematics First sanskrit mathematical commentary ever translated into English Oldest sanskrit mathematical commentary known to us A unique insight into mathematical reasoning and practices of a 7th century Indian astronomer First known reflexive Indian text on arithmetic, trigonometry, geometry and mathematical reasonings in general
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