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Indian mathematics: Vedic line based multiplying system!

Within indian tradition, and most specifically the vedics, there was a multiplying system based in lines that would allow them to perform complex mathematical calculations, sometimes confused with a japanese method for complex calculation. This video shows how the system works.

Indian mathematics emerged in the Indian subcontinent from 1200 BC  until the end of the 18th century. In the classical period of Indian mathematics (400 AD to 1200 AD), important contributions were made by scholars like AryabhataBrahmagupta, and Bhaskara II. The decimal number system in use today was first recorded in Indian mathematics. Indian mathematicians made early contributions to the study of the concept of zero as a number, negative numbers, arithmetic, and algebra. In addition, trigonometry was further advanced in India, and, in particular, the modern definitions of sine and cosine were developed there. These mathematical concepts were transmitted to the Middle East, China, and Europe and led to further developments that now form the foundations of many areas of mathematics.

Samhitas and Brahmanas

The religious texts of the Vedic Period provide evidence for the use of large numbers. By the time of the Yajurvedasaṃhitā (1200–900 BCE), numbers as high as 1012 were being included in the texts. For example, the mantra (sacrificial formula) at the end of the annahoma (“food-oblation rite”) performed during the aśvamedha, and uttered just before-, during-, and just after sunrise, invokes powers of ten from a hundred to a trillion:

Source: Wikipedia

If you liked this video, watch mathemagics here!

Watch line based vedic multiplying method example:

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Professor Arthur Benjamin shows Mathematical Magic

Mathemagic

Mathemagic

Professor Arthur Benjamin, who teaches mathematics at Harvey Mudd College, shows, in this TED conference video, his ability to mentally produce incredibly complex mental calculations, such as 3 and 4 digit square roots and the like. A remarkable performance!

If you liked this video, watch how Vedic’s multiply using lines as part of the old Indian tradition!

Watch Professor Arthur Benjamin do MatheMagic:

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