#### Contents

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

### References (show)

- Boyer, C. B. (1968).
*A History of Mathematics.*USA: John Wiley and Sons, INC. - Al-Daffa, A. A. (1977).
*The Muslim Contribution to Mathematics.*USA: Humanities Press. [All references denoted by AA'D] - Datta, B. and Singh, A. N. (1962).
*History of Hindu Mathematics, a source book*, Parts 1 and 2, (single volume). Bombay: Asia Publishing House. [Denoted by AS/BD] - Duncan, D. E. (1998).
*The Calendar*. London: Fourth Estate. [Denoted by DD] - Gurjar, L. V. (1947).
*Ancient Indian Mathematics and Vedha*. Poona: [Denoted by LG] - Joseph, G. G. (2000).
*The Crest of the Peacock, non-European roots of Mathematics*. Princeton and Oxford: Princeton University Press. [Denoted by GJ] - Katz, V. J. (1998).
*A History of Mathematics (an introduction*). USA: Addison-Wesley. - Rashed, R. (1994).
*The Development of Arabic Mathematics: between Arithmetic and Algebra*, especially "Appendix 1: The Notion of Western Science: Science as a Western Phenomenon. Netherlands: Kluwer Academic Publishers. [Denoted by RR] - Srinivasiengar, C. N. (1967).
*The History of Ancient Indian Mathematics.*Calcutta: The World Press Private LTD. [Denoted by CS] - Struik, D. J. (1948).
*A Concise History of Mathematics.*New York: Dover Publications, INC. - Almeida, D. F., John, J. K. and Zadorozhnyy, A. (2001). Keralese Mathematics: Its Possible Transmission to Europe and the Consequential Educational Implications.
*Journal of Natural Geometry***20**, 77-104. [All references denoted by DA/JJ/AZ1] - Channabasappa, M. N. (1984). Mathematical Terminology Peculiar to the Bakhshali Manuscript.
*Ganita-Bharati (Bulletin of the Indian Society of the History of Mathematics*)**6**, 13-18. - Dwary, N. N. (1991). Mathematics in Ancient and Medieval India.
*The Mathematics Education (Historical*)**8**, 39-41. [Denoted by ND1] - Gupta, R. C. (1990). The Chronic Problem of Ancient Indian Chronology.
*Ganita-Bharati***12**, 17-26. [Denoted by RG1] - Gupta, R. C. (1986). Highlights of Mathematical Developments in India.
*The Mathematics Education***20**, 131-138. [Denoted by RG2] - Gupta, R. C. (1976). Aryabhata, Ancient India's Greatest Astronomer and Mathematician.
*The Mathematics Education***10**, B69-B73. [Denoted by RG3] - Gupta, R. C. (1982). Indian Mathematics Abroad upto the tenth Century A.D.
*Ganita-Bharati***4**, 10-16. [Denoted by RG4] - Gupta, R. C. (1974). An Indian Approximation of Third Order Taylor Series Approximation of the Sine.
*Historica Mathematica***1**, 287-289. [Denoted by RG5] - Gupta, R. C. (1983). Spread and Triumph of Indian Numerals.
*Indian Journal of History of Science***18**, 23-38 - Gupta, R. C. (1987). South Indian Achievements in Medieval Mathematics.
*Ganita-Bharati***9**, 15-40. - Gupta, R. C. (1976). Development of Algebra.
*The Mathematics Education***10**, B53-B61. - Gupta, R. C. (1980). Indian Mathematics and Astronomy in the Eleventh Century Spain.
*Ganita-Bharati***2**, 53-57. - Gupta, R. C. (1977). On Some Mathematical Rules from the Aryabhatiya.
*Indian Journal of History of Science***12**, 200-206. - Kak, S. C. (2000). Birth and Early Development of Indian Astronomy.
*The History of Non-Western Astronomy*, 303-340. [Denoted by SK1] - Kak, S. C. (1993). Astronomy of the Vedic Altars.
*Vistas in Astronomy***36**, 117-140. - Kak, S. C. (1988). A Frequency Analysis of the Indus Script.
*Cryptologia***12**, 129-143. - Kak, S. C. (1999). The Solar Numbers In Angkor Wat.
*Indian Journal of history of Science***34**, 117-126. - Kak, S. C. (1987). The Paninian Approach to Natural Language Processing.
*International Journal of Approximate Reasoning***1**, 117-130. - Kak, S. C. (2000). Indian Binary Numbers and the Katapayadi Notation.
*Annals (B.O.R. Institute*)**131**, 269-272. - Kak, S. C. (2000). An Interesting Combinatoric Sutra.
*Indian Journal of History of Science***35**, 123-127. - Kak, S. C. (1997). Three Old Indian Values of p.
*Indian Journal of History of Science***32**, 307-314. - Majumdar, P. K. (1981). A Rationale of Brahmagupta's Method of Solving
*ax*+*c*=*by*.*Indian Journal of History of Science***16**, 111-117. - Rajagopal, C. T. and Rangachari, M. S. (1977-78). On an Untapped Source of Medieval Keralese Mathematics.
*Archive for History of Exact Sciences***18**, 89-102. [Denoted by CR/MR1] - Rajagopal, C. T. and Rangachari, M. S. (1986). On Medieval Keralese Mathematics.
*Archive for History of Exact Sciences***35**, 91-99. - Rajagopalan, K. R. (1982). State of Indian Mathematics in the Southern Region upto 10th Century A.D.
*Ganita-Bharati***4**, 78-82. [Denoted by KR1] - Sinha, R. S. (1981). Contributions of Ancient Indian Mathematicians.
*The Mathematics Edducation***15**, 69-82. [Denoted by SS1] - Sinha, R. S. (1951). Bhaskara's Lilavati.
*Bulletin of Allahbad University Mathematical Association***15**, 9-16. - Srinivasan, S. (1982). Evolution of Weights and Measures in Ancient India.
*Ganita-Bharati***4**, 17-25. [Denoted by SSr1] - MacTutor History of Mathematics (Written and compiled by Professor Edmund F Robertson and Dr John J O'Connor, University of St Andrews. I used 38 articles form this website.) /
- Kalyanaraman, S. The Sarasvati-Sindhu Civilization (c. 3000 B.C.). Article retrieved from Indology List-Serve. http://www.historyofindia.com/hist_text/indus.html