Who is aryabhatta in india




















He had acquired vast knowledge in the field of mathematics. He also discovered several things for which Indians feel proud of even now. His renowned discoveries were algebraic identities, trigonometric functions, the value of pi, and the place value system, etc.

Aryabhatta wrote many famous books which are treated as Bible in mathematics. Many youngsters were inspired by Aryabhatta in the field of mathematics. His contribution towards society is highly acclaimed till date. Early Life.

Aryabhatta was born in A. Aryabhata does not explain how he found this accurate value but, for example, Ahmad [ 5 ] considers this value as an approximation to half the perimeter of a regular polygon of sides inscribed in the unit circle. However, in [ 9 ] Bruins shows that this result cannot be obtained from the doubling of the number of sides.

There are reasons to believe that Aryabhata devised a particular method for finding this value. It is shown with sufficient grounds that Aryabhata himself used it, and several later Indian mathematicians and even the Arabs adopted it. We now look at the trigonometry contained in Aryabhata's treatise. Other rules given by Aryabhata include that for summing the first n n n integers, the squares of these integers and also their cubes. Aryabhata gives formulae for the areas of a triangle and of a circle which are correct, but the formulae for the volumes of a sphere and of a pyramid are claimed to be wrong by most historians.

He also appears to give an incorrect expression for the volume of a sphere. However, as is often the case, nothing is as straightforward as it appears and Elfering see for example [ 13 ] argues that this is not an error but rather the result of an incorrect translation. However, in his translation Elfering translates two technical terms in a different way to the meaning which they usually have.

Without some supporting evidence that these technical terms have been used with these different meanings in other places it would still appear that Aryabhata did indeed give the incorrect formulae for these volumes.

Aryabhata gives a systematic treatment of the position of the planets in space. He believed that the apparent rotation of the heavens was due to the axial rotation of the Earth.

This is a quite remarkable view of the nature of the solar system which later commentators could not bring themselves to follow and most changed the text to save Aryabhata from what they thought were stupid errors!

He believes that the Moon and planets shine by reflected sunlight, incredibly he believes that the orbits of the planets are ellipses.

He correctly explains the causes of eclipses of the Sun and the Moon. The Indian belief up to that time was that eclipses were caused by a demon called Rahu. His value for the length of the year at days 6 hours 12 minutes 30 seconds is an overestimate since the true value is less than days 6 hours. References show. He had even correctly taken the shape of the earth into account. However, he believed in the size of the Eurasian landmass according to inflated Greek estimates.

The result? Luckily for him, he found another continent in his route to Asia. As it turns out, our forefathers were quite curious and observant about the motion of celestial bodies like the sun, moon, stars and planets.

That is not all. A special feature of our earth is the tilt of its axis about How did they manage to do all that? Well, if there were to be no difference, the sun would have risen and set at the same position each day and the duration of each day and night would be roughly similar all over the world.

Instead, every year, the point of sunrise and sunset moves in a seesaw-ey, to-and-fro motion. For example, the sun was exactly east at sunrise on 20 March last year, the spring equinox. On this corresponding day every year, the duration of the day is equal all over the earth and the sun is exactly overhead at noon on the equator.

For a person standing at the equator on this date, this means that objects will not cast a shadow at noon. From here until late June, the point of sunrise progressively shifts to the north and correspondingly, the latitude of zero shadow at noon until it reaches the northernmost extent on 21 June the summer solstice at the Tropic of Cancer.

This also results in the length of day gradually increasing until it reaches a maximum in the northern hemisphere. Of course, this is written from the perspective of the observers in the northern hemisphere and these seasonal trends in the southern hemisphere are exactly reversed. Therefore, for someone located between the tropics, the sun is directly overhead at noon twice a year; and on the tropics, it happens only once—on the solstice.

These dates can vary by a day or two in the short term since the earth revolves around the sun in an orbit of Our ancestors kept track of these observations in order to sow seasonal crops and monitor reserves of food.

Since the earth is nearly spherical it is a little flattened along the poles compared to the equator , the geometrical properties along its surface are different to the traditional geometry that we know of.

For instance, the shortest distance between two points on a flat surface is a straight line; on a spherical surface, it is a path along something called as a great circle.

A circle drawn on a spherical surface such that it divides the sphere into two equal hemispheres is a great circle — you could visualize this as slicing a ball exactly into half, with the slicer passing through its centre, and along the two points. These great circles are useful in navigation since one can determine the shortest path between two points; they are also useful tools employed in astronomy and crystallography. Some of these concepts of spherical geometry can also be used to define the areas that we inhabit, just like a main road and a cross road system would define a particular intersection in a locality.

Longitudes run north to south from pole to pole, whereas latitudes run across. The crucial difference between the two is that while every longitude is a great circle, the only latitudinal great circle is the equator. The details of algebra, arithmetic, plane trigonometry, spherical trigonometry were discussed. He followed the Sanskrutik tradition or method of calculations that were prevalent in the Vedic Times.

Aryabhata correctly concluded the value of pi up to 2 decimal places, 3. He also used null coefficients and very rightly was aware of the use of zero in such a place. He used Sanskritic tradition that was mainly denoted by letters and alphabets, unlike the Brahmi numerals. Astronomy Discoveries:- Aryabhatta rightly insisted that the earth rotates daily on its own axis around the sun and the movement of stars appeared to be because of the relative motion caused due to rotation of the earth.

This was in contrast to the then very popular belief that it was the sky that rotates. Rightly with calculated evidence, it was explained heliocentrism is the rotation of planets around the sun, axially.

The geocentric model of the solar system was described by Aryabhata, scientifically explaining the solar and lunar eclipses. Aryabhata died a successful mathematician, astronomer and a scientist at the age of The place and time of death are still unknown. It was believed he spent most of his life in Kusumapura, Pataliputra. The contributions of a scientist since Aryabhata has never been the same. He truly made the world notice India, in terms of holding scientific knowledge and value that actually made a difference to the world.

He challenged and contradicted many beliefs that were going on at the time and through calculations provided pieces of evidence for it to be true. And after all these years, his work does not flinch from meticulous accuracy.



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