Aryabhata-An Indian Mathemagician

The great Indian Mathematician/Mathemagician

“Aryabhata”

Born - 476 AD Patliputra in

Magadha(Patna)Died - 550 ADEra - Gupta eraRegion - IndiaMain interests -

Mathematics, AstronomyMajor works - Āryabhaṭīya,

Arya-siddhanta

• The mathematical contribution of the Aryabhata covers arithmetic, algebra, plane trigonometry, and spherical trigonometry. It also covers continued fractions, quadratic equations, sums-of-power series, and a table of sines.

• Aryabhata correctly insisted that the earth rotates about its axis

APROXIMATE value of ‘PI’

"Add four to 100, multiply by eight, and then add 62,000. By this rule the circumference of a circle with a diameter of 20,000 can be approached." [15]

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.

In Aryabhatiya, Aryabhata provided elegant results for the summation of series of squares and cubes

Algebra Mentioned algebric formulae

(a+b)2=a2+2ab+b2

ab = (a+b) 2-(a2+b2) 2 Notation He invented notation system consisting

of alphabet numerals.

Liner equationHe tried to solve

indeterminate Liner equation

like ax+by=c. Geometry His contributions in

Geometry are commendable.

TrigonometryHe gave considerable

attention to Trigonometry.

India's first satellite named after “Aryabhata”