Details
Expounding the Mathematical Seed. Vol. 2: The Supplements
A Translation of Bhāskara I on the Mathematical Chapter of the ĀryabhatīyaScience Networks. Historical Studies, Band 31
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96,29 € |
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| Verlag: | Birkhäuser |
| Format: | |
| Veröffentl.: | 02.08.2007 |
| ISBN/EAN: | 9783764375935 |
| Sprache: | englisch |
| Anzahl Seiten: | 251 |
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 explanations for each verse commentary translated in Volume 1. These supplements discuss the linguistic and mathematical matters exposed by the commentator. Particularly helpful for readers are an appendix on Indian astronomy, elaborate glossaries, and an extensive bibliography.</P>
<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 explanations for each verse commentary translated in Volume 1. These supplements discuss the linguistic and mathematical matters exposed by the commentator. Particularly helpful for readers are an appendix on Indian astronomy, elaborate glossaries, and an extensive bibliography.</P>
<P></P>
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.
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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