Aryaabhatt ,one of the most renewed scientist and mathematician indian history. this ppt is about him and his major invention or works or discoveries in science,mathematics.this ppt contains information regarding aryabhattia,his knowledge on Place value system and zero Pi as irrational Mensuration and trigonometry Indeterminate equations Algebra  and in astronomy Motions of the solar system Eclipses Sidereal periods Heliocentrism.

2. Aryabhata (476–550 CE) was the
first of the major mathematician-
astronomers from the classical age
of Indian mathematics and Indian
astronomy

4. : Works
. Aryabhatiya
:mathematics
Place value system and zero
Pi as irrational
Mensuration and trigonometry
Indeterminate equations
Algebra
:astronomy
Motions of the solar system
Eclipses
Sidereal periods
Heliocentrism

6. His most famous work, Aryabhattiya is a
detailed text on mathematics and astronomy.
The mathematical part of the Aryabhatiya
covers arithmetic, algebra and trigonometry.
It also contains continued fractions, quadratic
equations, sums of power series and a table of
Aryabhattiya

7. mathematics

8. Place value system and zero
The place-value system, first seen in
the 3rd-century Bakhshali
Manuscript, was clearly in place in his
work. He used letters of the alphabet
to denote numbers, expressing
quantities, such as the table of sines

9. Pi as irrationalAryabhata worked on the
approximation for pi and may have
come to the conclusion that pi is
irrational.
How he arrived it??
He wrote that if 4 is added to 100 and
then multiplied by 8 then added to 62,000
then divided by 20,000 the answer will be
equal to the circumference of a circle of
diameter twenty thousand. This calculates
to 3.1416 close to the actual value Pi
(3.14159)

10. 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.
Aryabhata discussed the concept of sine in his
work by the name of ardha-jya, which literally
means "half-chord".

11. find N = 8x+5 = 9y+4 = 7z+1???
Aryabhata's method of solving such problems,
elaborated by Bhaskara in 621 CE, is called
the kuṭṭaka (कु ट्टक) method. Kuttaka means
"pulverizing" or "breaking into small pieces",
and the method involves a recursive algorithm
for writing the original factors in smaller
Indeterminate equations

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

13. astronomy

14. Motions of the solar system
Aryabhatta was aware that the earth
rotates on its axis. The earth rotates
round the sun and the moon moves round
the earth. He discovered the positions of
the nine planets and related them to their
rotation round the sun.

15. solar and lunar eclipses were scientifically
explained by Aryabhata. He states that
the Moon and planets shine by reflected
sunlight. Instead of the prevailing cosmogony
in which eclipses were caused
by Rahu andKetu (identified as the pseudo-
planetary lunar nodes), he explains eclipses in
terms of shadows cast by and falling on
Eclipses

16. Sidereal periods
Considered in modern English units of
time, Aryabhata calculated the sidereal
rotation (the rotation of the earth
referencing the fixed stars) as 23 hours,
56 minutes, and 4.1 seconds; the modern

17. Heliocentrism
As mentioned, Aryabhata advocated an astronomical
model in which the Earth turns on its own axis. His
model also gave corrections (the śīgra anomaly) for
the speeds of the planets in the sky in terms of the
mean speed of the sun. Thus, it has been suggested
that Aryabhata's calculations were based on an
underlying heliocentric model, in which the planets
orbit the Sun,

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