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The Jesuits were equipped with the knowledge of local languages as well as mathematics and astronomy that were required to understand these Indian needed these texts to understand the local customs and how the dates of traditional festivals were fixed by Indians using the local calendar (panchnga).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.And finally an important point for those who maintain that the concept of zero was also evident in some other civilisations: "Did you know that Vedic priests were using the so-called Pythagorean theorem to construct their fire altars in 800 BCE?; that the differential equation for the sine function, infinite difference form, was described by Indian mathematician-astronomers in the fifth century CE?It took them about 300 years to fully comprehend its working. Jesuit records show that they sought out these texts as inputs to the Gregorian calendar reform.This reform was needed to solve the latitude problem of European navigation.A favourite subject of theirs was Indian mathematics..." etc.where he gave a full account of the Hindu numerals which was the first to expound the system with its digits 0,1,2,3,....,9 and decimal place value which was a fairly recent arrival from India.
The new notation came to be known as that of al-Khwarizmi, or more carelessly, algorismi; ultimately the scheme of numeration making use of the Hindu numerals came to be called simply algorism or algorithm, a word that, originally derived from the name al-Khwarizmi, now means, more generally, any peculiar rule of procedure or operation.We owe the discovery of modern numeration and the elaboration of the very foundations of written calculations to India alone."It is clear how much we owe to this brilliant civilization, and not only in the field of arithmetic; by opening the way to the generalization of the concept of the number, the Indian scholars enabled the rapid development of mathematics and exact sciences.The discoveries of these men doubtless required much time and imagination, and above all a great ability for abstract fact, the latter is so deeply ingrained in Indian thought and tradition that one meets it in all fields of study, from the most advanced mathematical ideas to disciplines completely unrelated to 'exact sciences.and provided the West with the key to the most far reaching of all the mechanical instrument on which its control of nature has been built, when it presented to Europe through the medium of Arabia the device of the cypher (and the decimal notation) upon which all modern system of numeration depend.even so, India today or tomorrow, will, I am confident, revolutionize western doctrines of progress by demonstrating the insufficiency and lack of finality of much of the West's present system of human values.""The Indian mind has always had for calculations and the handling of numbers an extraordinary inclination, ease and power, such as no other civilization in history ever possessed to the same degree.