In 662 CE, a Syrian bishop named Severus Sebokht wrote
When Ibn Sina (980 – 1037 CE) was about ten years old, a group of missionaries belonging to an Islamic sect came to Bukhara from Egypt and he writes that it is from them that he learned Indian arithmetic. This, George Gheverghese Joseph, writes in The Crest of the Peacock: Non-European Roots of Mathematics shows that Indian math was being used from the borders of central Asia to North Africa and Egypt.
Though there is a such a rich history, we rarely learn about the greatness of Indian mathematicians in schools. Even our intellectuals are careful to glorify the West and ignore the great traditions of India. A prime example of that was an article by P. Govindapillai, the Communist Party ideologue, in which he lamented that the world did not know about the contributions of the Arab scientist al-Hassan. In response, I wrote an Op-Ed in Mail Today in 2009.
Thus it is indeed great to see that NPTEL ran a course on Mathematics in India – From Vedic Period to Modern Times. The entire series of around 40 lectures is available online. It is there on YouTube as well. It starts with Mathematics in ancient India with the Śulbasūtras and goes past the period of Ramanujam. It goes through various regional scientists including the members of the Kerala School of Astronomy and covers the difference between the Greco-Roman system of proofs and how Indian mathematicians did it. Kudos to Prof. M. D. Srinivas, Prof. M. S. Sriram and Prof.K. Ramasubramanian for making this available to the general public.
PS: @sundeeprao points to this course on Ayurvedic Inhertance of India
On vedic mathematics, there’s been a lot of “debunking” by well-known India-baiter Meera Nanda, and the secularist Dr. Hartosh Singh Bal, currently orphaned from the Open magazine :-D. Here’s a “neutral” examination of this subject.