Aryabhata was an ancient Indian mathematician and astronomer born in 476 AD in Kusumapura, now known as Patna. He authored works including the Aryabhatiya, a compendium on mathematics and astronomy. Some of his key contributions included introducing the place-value system with zero as a placeholder, trigonometric functions to calculate areas of triangles, and an accurate approximation of pi as 3.1416. He made several other advances in algebra, series, and planetary motion and is considered one of the greatest mathematicians of ancient India.

1. LIFE HISTORY
OF
ARYABHATA

2. Aryabhata

3.  Aryabhata was an ancient Indian Mathematician
and Astronomer.
 Born on 476 AD
 Died on 550 AD
 Born in Kusumapura or Pataliputra
About

5. • He went to Kusumapura for advanced studies and lived there for
some time. Both Hindu and Buddhist traditions, as well as Bhaskara
I, the 7th Century mathematician, identify Kusumapura as modern
Patna.
Life Events

6. Highlighting Point

7. Works
Aryabhata is the author of several treatises on mathematics and astronomy, some
of which are lost.
Aryabhatiya - compendium of mathematics and astronomy -
covers arithmetic, algebra, plane trigonometry, and spherical trigonometry. It also
contains continued fractions, quadratic equations, sums-of-power series, and
a table of sines.
Arya-siddhanta - a lost work on astronomical computations.

8. Contribution In Mathematics

9. Place value system and zero
The place-value system, first seen in the 3rd-century Bakhshali
Manuscript, was clearly in place in his work. While he did not use a
symbol for zero, the French mathematician Georges Ifrah argues that
knowledge of zero was implicit in Aryabhata's place-value system as a
place holder for the powers of ten with null coefficients.
However, Aryabhata did not use the Brahmi numerals. Continuing the
Sanskritic tradition from Vedic times, he used letters of the alphabet to
denote numbers, expressing quantities, such as the table of sines in a
mnemonic form.

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.

11. Approximation of π

12. Approximation of π
Aryabhata worked on the approximation for pi, and may have come to
the conclusion that pi is irrational. In the second part of the
Aryabhatiyam (gaṇitapāda 10), he writes:
caturadhikam śatamaṣṭaguṇam dvāṣaṣṭistathā sahasrāṇām
ayutadvayaviṣkambhasyāsanno vṛttapariṇāhaḥ.
"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.“
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.

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

14. Facts About Aryabhata

15. Facts About Aryabhata
 Aryabhata is credited to have set up an observatory at the Sun temple in
Taregana, Bihar.
 He served as the head of an institution (kulapa) at Kusumapura and might have
also been the head of the Nalanda university.
 Some scholars claim that the Arabic text ‘Al ntf’ or ‘Al-nanf’ is a translation of
one of his works.
 His most famous text, ‘Aryabhatiya’, consists of 108 verses and 13
introductory verses.

16. Facts About Aryabhata
 Aryabhata did not use the Brahmi numerals; he used letters of the alphabet to
denote numbers.
 It is probable that he might have come to the conclusion that 'pi' is irrational.
 He discussed the concept of ‘sine’ in his work by the name of “ardha-jya”,
which literally means "half-chord".
 Calendric calculations devised by Aryabhata are used for fixing the
‘Panchangam’ (the Hindu Calendar).
 He correctly stated that the earth rotates about its axis daily.

17. • https://www.britannica.com/biography/
BIBLOGRAPHY
• https://en.wikipedia.org/wiki/

18. Thank You