Indian Mathematics: Redressing the balance

Ian G Pearce

CONTENTS

1. Abstract
2. Introduction
3. Early Indian culture - Indus civilisation
4. Mathematics in the service of religion:
   I. Vedas and Vedangas
   II. Sulba Sutras
5. Jainism
6. The Bakhshali manuscript
7. Decimal numeration and the place-value system
8. The Classical period:
   I Introduction
   II. Aryabhata and his commentators
   III. Brahmagupta, and the influence on Arabia
   IV. Mathematics over the next 400 years (700AD-1100AD)
   V. Bhaskaracharya II
   VI. Pell's equation
   VII. The end of the Classic period and the state of Indian mathematics abroad by the 12th century
   
9. Keralese mathematics:
   I. Introduction
   II. Mathematicians of Kerala
   III. Madhava of Sangamagramma
   IV. Possible transmission of Keralese mathematics to Europe
10. Conclusions

References

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