The Gaṇitapañcaviṃśī attributed to Śrīdhara (Q2875819)
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scientific article; zbMATH DE number 6329304
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Gaṇitapañcaviṃśī attributed to Śrīdhara |
scientific article; zbMATH DE number 6329304 |
Statements
12 August 2014
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Śrīdhara
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gaṇita-pātī
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Sanskrit arithmetical text
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restoration
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David Pingree
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The Gaṇitapañcaviṃśī attributed to Śrīdhara (English)
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This paper provides a detailed study of the `Gaṇitapañcaviṃśī' attributed to the famous eighth century Indian mathematician Sridhara with a view to restore it to its original form. It consists of a revision of the text edited by David Pingree, an English translation of the whole text, and a mathematical commentary. Sridhara's manuscript is in three folios (second folio is missing) and is preserved in the library of the Wellcome Institute for History of Medicine. Sridhara has given rules for various mathematical operations, such as the a rule for the sum and the difference, a rule for multiplication, a rule for division, a rule for the square root, the cubic root, etc. All the rules are given in ancient Indian Sanskrit verses. Sridhara has also classified quadrilaterals into equi-perpendicular and inequi-perpendicular and has given a formula for the area for each category. He has also given a rule for tower class problems. The manuscript is very rich in its content. The author is appreciated for his keen study and painstaking work. The paper clearly demonstrates the achievements of ancient Indian mathematicians, which is sometimes ignored by the West. The paper is strongly recommended to all those who are interested in the history of mathematics.
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