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Knowledge of the Hindu system spread through the Arab world, reaching the Arabs of the West in Spain before the end of the tenth century.
The earliest European manuscript, which came from the Hindu numerals were modified in north-Spain from the year 976.
As for vocabulary, its richness is considerable and highly diversified.
How the mathematics given in these Indian ancient texts subsequently diffused into The English-speaking world has known for over one and a half centuries that Taylor series expansions for sine, cosine and arctangent functions were found in Indian mathematics / astronomy / timekeeping (jyotisa) texts, and specifically in the works of Madhava, Neelkantha, Jyeshtadeva, etc.Thus we can see why poetry has played such a preponderant role in all of Indian culture and Sanskrit literature. In 2001 he won the prestigious Berwick Prize of the London Mathematical Society, which is awarded every two years to reward the best mathematical research by a mathematician under forty. Indians used it long before the West did," said Du Sautoy."When the West had Roman numerals there was no zero and that is why they were so clumsy.We also know that several different ways of writing numbers evolved in India before it became possible for existing decimal numerals to be marred with the place-value principle of the Babylonians to give birth to the system which eventually became the one which we use today.Because of lack of authentic records, very little is known of the development of ancient Hindu mathematics.