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History of Mathematics in India | Desh Kapoor
But renowned mathematicians believe the country needs to significantly improve its mathematics capabilities to be able to use these technologies to create really innovative and robust solutions — both for itself and the world. Srinivasa Varadhan, mathematics professor at New York University, agrees. As the last issue of this page said, AI and ML have become so simple and affordable that they can today be applied in a variety of areas.
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We are actively working to add more content and courses here, new improvements coming soon. Video 4 minutes 58 seconds Number grid Numbers 0 to Video 1 minute 54 seconds Sanskrit, the classical language of India and the chief medium for its premodern mathematical texts, maintained a strictly oral literary tradition for many centuries. Even after writing was introduced, the traditional writing materials, such as palm leaves, birch bark, and later paper, did not last long in the South Asian climate. The earliest surviving Sanskrit references to mathematical subjects are some number words in the Vedas , ancient sacred texts that were passed down by recitation and memorization.
The number system
The oldest surviving Veda manuscript dates from the 16th century. Although the Indian number system seems always to have been decimal, in the Satapatha Brahmana c. This is reminiscent of the structure of ancient Babylonian sexagesimal division tables and may indicate as do some later astronomical texts the influence of the base mathematics of Mesopotamia.
source link The people who left these traces of their thinking about numbers were members of the Brahman class, priestly functionaries employed in the preparation and celebration of the various ritual sacrifices. Using simple tools of ropes and stakes, the altar builders could produce quite sophisticated geometric constructions, such as transforming one plane figure into a different one of equal area.
The recorded rules also indicate knowledge of geometric fundamentals such as the Pythagorean theorem , values for the ratio of the circumference of a circle to its diameter i. Different shapes and sizes of sacrificial altars were described as conferring different benefits—such as wealth, sons, and attainment of heaven—upon the sponsor of the sacrifice. Perhaps these ritual associations originally inspired the development of this geometric knowledge, or perhaps it was the other way around: the beauty and harmony of the geometric discoveries were sacralized by integrating them into ritual.
During the rise of Buddhism and Jainism after bce , the connection between mathematical and religious thought persisted. But instead of altar constructions for animal sacrifices, which Buddhist and Jain principles rejected, mathematics supplied a framework for cosmological and philosophical schemes.
Jain authors in particular employed immense numbers even infinity in elaborate and vast models of the universe.