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15-Mar-2020 05:41 by 4 Comments

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A favourite subject of theirs was Indian mathematics..." etc.

; that the differential equation for the sine function, infinite difference form, was described by Indian mathematician-astronomers in the fifth century CE?

As for vocabulary, its richness is considerable and highly diversified.

Sanskrit has for centuries lent itself admirably to the diverse rules of prosody and versification.

On the other hand, Brahmagupta was one of the key mathematicians in the world because he invented the idea of zero." "They were learned with a strong background in maths and were well versed in the local languages.

And there was strong motivation: Pope Gregory XIII set up a committee to look into modernising the Julian calendar. "Similarly there was a rising need for better navigational methods including keeping accurate time on voyages of exploration and large prizes were offered to mathematicians who specialised in astronomy."But there is also little knowledge of the medieval form of the local language of Kerala, Malayalam, in which some of most seminal texts, such as the Yuktibhasa, from much of the documentation of this remarkable mathematics is written." "For some unfathomable reasons, the standard of evidence required to claim transmission of knowledge from East to West is greater than the standard of evidence required to knowledge from West to East." The Brahmi numerals that have been found in caves and on coins around Mumbai from around the first century AD use horizontal lines for 1 to 3.

It was easy to use and moreover it facilitated the conception of the highest imaginable numbers.

This is why it was so well suited to the most exuberant numerical or arithmetical-cosmogonic speculations of Indian culture.""The Indian people were the only civilization to take the decisive step towards the perfection of numerical notation.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.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.The early passion which Indian civilization had for high numbers was a significant factor contributing to the discovery of the place-value system, and not only offered the Indians the incentive to go beyond the "calculable" physical world, but also led to an understanding (much earlier than in our civilization) of the notion of mathematical infinity itself.

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