3. Born - 476 AD
Patliputra in Magadha(Patna)
Died - 550 AD
Era - Gupta era
Region - India
Main interests -
Mathematics, Astronomy
Major works - Āryabhaṭīya,
Arya-siddhanta
4. • 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
5. 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.
6. In Aryabhatiya, Aryabhata provided elegant results
for the summation of series of squares and cubes
7. Algebra
Mentioned algebric formulae
(a+b)
2
=a
2
+2ab+b2
ab = (a+b)2
-(a2
+b2
)
2
Notation
He invented notation system
consisting of alphabet numerals.
8.
9. Liner equation
He tried to solve
indeterminate Liner
equation
like ax+by=c.
Geometry
His contributions in
Geometry are
commendable.
Trigonometry
He gave considerable
attention to
Trigonometry.