Indian mathematicians aryabhatta pdf

Aryabhatta died in CE Brahmagupta was a remarkable Astronomer and Indian Mathematician. He was born in CE One of the most famous mathematicians of all time, Srinivasa Ramanujan was born in in Tamil Nadu. Ramanujan completely transformed mathematics with his theories and concepts in the early 20 th century. Satyendra Nath Bose was born in the year ; He was awarded the second most prestigious award Padma Vibhushan. He was also a fellow of the Royal Society.

He laid the foundation for modern theoretical physics in India. He is known worldwide for the following scientific and mathematical contributions. Prasanta Chandra Mahalanobis was born on 29 June and was died on 28 June He was an Indian Scientist and Statistician from erstwhile Bengal. Mahalanobis is the best remembered for Mahalanobis distance, a statistical measure and for being one of the members of the first Planning Commission of free India.

For his contributions, Mahalanobis has been considered the father of modern statistics in India. He studied at the University of Nalanda.

One of his major works was Aryabhatiya written in AD. The book matthematician with many topics like astronomy, spherical trigonometry, arithmetic, algebra and plane trigonometry. He jotted his ayabhatta in mathematics and astronomy in verse form. The book was translated into Latin in the 13th century. Through the translated Latin version of the Aryabhattiya, the European mathematicians learned how to calculate the areas of triangles, volumes of spheres as well as how to find out the square and cube root.

In the field of astronomy, Aryabhatta was the pioneer to infer that the Earth is spherical and it rotates on its own axis which results in day and night. He even concluded that the moon is dark and shines because of the light of sun. He gave a logical explanation to the theory of solar and lunar eclipses. He declared that eclipses are caused due to the shadows cast by the earth and the moon.

Aryabhatta proposed the geocentric model of the solar system which states that the Earth is in the center of the universe and also laid the foundation for the concept of Gravitation. His propounded methods arryabhatta astronomical calculations in his Aryabhatta-Siddhatha which was used to make the the Panchanga Hindu calendar. And the relative movement of the stars is caused by the motion of the earth. In this first chapter of his book Aryabhatiya, he mentions the number of earth rotations in a yuga.

To explain this phenomenon, he proposed a geometrical model of the solar system in which the moon and sun were carried by epicycles which means a circle moving on another circle. According to this model, the motion of the planets was governed by two epicycles. The smaller one was slow and the larger one was fast. In terms of the distance from the earth, the order of the planets was- the Moon, Mercury, Venus, the Sun, Mars, Jupiter, Saturn and the asterisms group of stars. The periods and positions of the planets were calculated on the relative motion of the points.

In the case of Venus and Mercury, they moved with the same mean speed as the Sun around the Earth. However, Jupiter, Saturn and Mars, stars or points moved around the Earth at a specific velocity representing the motion of each planet through a zodiac.

Aryabhata explained lunar and solar eclipses with scientific experiments. He stated that the planets and the Moonshine due to the reflected sunlight. He explained the eclipses in terms of shadows falling on the Earth. Aryabhatta experiments laid the foundation for Indian astronomers to improve the calculations.

Sidereal Periods. Considering the modern units of time, Aryabhatta calculated the sidereal rotation the rotation of the Earth concerning the stars as 23 hours, 56 minutes and 4.

The modern value of time was written as Aryabhatta gave an astronomical model which stated that the Earth rotates on its axis. His model also gave corrections for the calculations of mean speeds of the planets concerning the Sun. His calculations were based on the heliocentric model in which the planets and the Earth revolve around the Sun at the centre of the universe. 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 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. Indian astronomical traditions and other cultures were highly influenced by Aryabhata's work. His works, experiments and calculations were translated into several languages to help other astronomers.

During the Islamic Golden Age, the Arabian translation was specifically influential. Some of his results were cited by great Arabian mathematicians such as Al-Biruni and Al-Khawarizmi who believed that the Earth rotates on its axis.

Aryabhata's definitions for cosine, sine, inverse sine, verse sine gave birth to Trigonometry. He was one of the first mathematicians to determine sine and versine 1-cosx tables from 0 to 90 degrees in the interval of 3.

His astronomical calculation techniques were also very popular among different astronomers. The modified versions of this calendar are still in use in Afghanistan and Iran.

To honour Aryabhata for his works, the Bihar Government has established Aryabhatta Knowledge University to promote astronomical knowledge among interested students. As well as the first Indian satellite was also named after him.