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  • © 2006

Expounding the Mathematical Seed. Vol. 2: The Supplements

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

Birkhäuser

Authors:

  • 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

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

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Table of contents (24 chapters)

  1. Front Matter

    Pages I-XIII
  2. Supplements

    1. BAB.2.3

      Pages 1-15
    2. BAB.2.4-5

      Pages 15-22
    3. BAB.2.6

      Pages 22-31
    4. BAB.2.7

      Pages 31-34
    5. BAB.2.8

      Pages 34-40
    6. BAB.2.9

      Pages 40-47
    7. BAB.2.10

      Pages 47-53
    8. BAB.2.11

      Pages 54-69
    9. BAB.2.12

      Pages 69-75
    10. BAB.2.13

      Pages 75-78
    11. BAB.2.14

      Pages 78-89
    12. BAB.2.15

      Pages 89-92
    13. BAB.2.16.

      Pages 92-100
    14. BAB.2.17

      Pages 100-105
    15. BAB.2.18

      Pages 105-106
    16. BAB.2.19-22

      Pages 106-114
    17. BAB.2.23-24

      Pages 114-115
    18. BAB.2.25

      Pages 116-118
    19. BAB.2.26-27

      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.

Authors and Affiliations

  • Rehseis CNRS, Centre Javelot, Paris Cedex 05

    Agathe Keller

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access