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Expounding the Mathematical Seed. Vol. 1: The Translation: A Translation of Bhāskara I on the Mathematical Chapter of the Āryabhatīya: Science Networks. Historical Studies, cartea 30

Autor Agathe Keller
en Limba Engleză Hardback – 17 mar 2006
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.
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Specificații

ISBN-13: 9783764372910
ISBN-10: 3764372915
Pagini: 232
Ilustrații: LIII, 172 p.
Dimensiuni: 165 x 235 x 18 mm
Greutate: 0.54 kg
Ediția:2006
Editura: Birkhäuser Basel
Colecția Birkhäuser
Seria Science Networks. Historical Studies

Locul publicării:Basel, Switzerland

Public țintă

Research

Cuprins

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.

Recenzii

"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

Caracteristici

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