Expounding the Mathematical Seed, Volume 1: The Translation

A Translation of Bhāskara I on the Mathematical Chapter of the Āryabhatīya

  • Agathe Keller

Part of the Science Networks · Historical Studies book series (SNHS, volume 30)

Table of contents

  1. Front Matter
    Pages i-liii
  2. On the Translation

    1. Pages 1-4
  3. The Translation

    1. Front Matter
      Pages 5-5
  4. Back Matter
    Pages 167-172

About this book


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.


Aryabhatiya Bhaskara History of mathematics History of science Indian mathematics astronomy

Authors and affiliations

  • Agathe Keller
    • 1
  1. 1.Centre JavelotRehseis CNRSParis Cedex 05

Bibliographic information