Aryabhata

Aryabhata was an ancient Indian astronomer and mathematician. Aryabhata was the father of scientific astronomy and mathematics of the Hindus. Born in 476 CE in Kusumpur (Bihar), Aryabhatt's intellectual brilliance remapped the boundaries of mathematics and astronomy. His most famous works are the Āryabhaṭīya (499 CE, when he was 23 years old) and the Arya-siddhanta. Aryabhatta was India's first satellite, named after the great Indian astronomer of the same name. It was launched by the Soviet Union on 19 April 1975 from Kapustin Yar using a Cosmos-3M launch vehicle

Aryabatta Works:

-->Aryabhata is the author of several treatises on mathematics and astronomy. In 499 CE, at the age of 23, he wrote a text on astronomy and an unparallel treatise on mathematics called "Aryabhatiyam." 

-->Aryabhatta formulated the process of calculating the motion of planets and the time of eclipses. Aryabhatta was the first to proclaim that the earth is round, it rotates on its axis, orbits the sun and is suspended in space - 1000 years before Copernicus published his heliocentric theory.

-->Aryabhatta is also acknowledged for calculating π (Pi) to four decimal places: 3.1416 and the sine table in trigonometry. 

-->Trigonometry-In Ganitapada 6, Aryabhata gives the area of a triangle as

    tribhujasya phalashariram samadalakoti bhujardhasamvargah

that translates to: "for a triangle, the result of a perpendicular with the half-side is the area

-->Aryabhatta’s most spectacular contribution was the concept of zero without which modern computer technology would have been non-existent. Aryabhatt was a colossus in the field of mathematics.

This implies that the ratio of the circumference to the diameter is ((4 + 100) × 8 + 62000)/20000 = 62832/20000 = 3.1416, which is accurate to five significant figures.

-->Algebra-In Aryabhatiya Aryabhata provided elegant results for the summation of series of squares and cubes

 -->Indeterminate equations

A problem of great interest to Indian mathematicians since ancient times has been to find integer solutions to equations that have the form ax + by = c, a topic that has come to be known as diophantine equations.