Synopses & Reviews
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.
An english translation of Bhaskara's commentary and a mathematical supplement are presented in two volumes.
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.
This volume 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 Bhaskara's text, the second looks at its mathematical contents and the third section analyzes the relations of the commentary and the treatise.
Review
"This magnum opus is truly a tour de force; the reviewer quickly runs out of superlatives as he peruses the two volumes of today's source on some of the truly great works and contributions of the famous Indian mathematician and astronomer. Your reviewer has to admit that he cannot begin to do justice to the breadth and depth of material presented and the beautiful presentation in matters of printing and layout that enhances the concepts of early scholars." - Current Engineering Practice
Synopsis
This book 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.
Synopsis
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.
Table of Contents
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.