© 2006

Expounding the Mathematical Seed Volume 2: The Supplements

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


Part of the Science Networks · Historical Studies book series (SNHS, volume 31)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Supplements

    1. Pages 1-15
    2. Pages 15-22
    3. Pages 22-31
    4. Pages 31-34
    5. Pages 34-40
    6. Pages 40-47
    7. Pages 47-53
    8. Pages 54-69
    9. Pages 69-75
    10. Pages 75-78
    11. Pages 78-89
    12. Pages 89-92
    13. Pages 92-100
    14. Pages 100-105
    15. Pages 105-106
    16. Pages 106-114
    17. Pages 114-115
    18. Pages 116-118
    19. Pages 118-127

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 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.


Aryabathiya Bhaskara History of mathematics History of science Indian mathematics astronomy

Authors and affiliations

  1. 1.Rehseis CNRSCentre JavelotParis Cedex 05

Bibliographic information