4. Aryabhatta
• Aryabhatta cameto this world onthe 476 A.D at
Patliputra in Magadha which is known as the modern
Patna in Bihar.
• His major work,
Aryabhatiya, a compendium of mathematics and astronomy,
was extensively referred to in the Indian mathematical
literature and has survived to modern times. The
mathematical part of
the Aryabhatiya covers arithmetic, algebra, plane
trigonometry, and spherical trigonometry. It also
contains continued fractions, quadratic equations, sums-of-
power series, and a table of sines.
5. Major contribution in the field of
Mathematics:
Discovery of 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.
(Null coefficient) * 10^n , where n=any integer.
6. Approximation of π:
Aryabhata worked on the approximation for pi (π), and
may have come to the conclusion that π is irrational. In
the second part of the Aryabhatiyam, he writes:
caturadhikaṃ śatamaṣṭaguṇaṃ 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 for a circle whose diameter is 20000, the
circumference will be 62832
i.e., π=
62832
20000
=3.1416 , which is accurate to three decimal
places.
7. Srinivasa Ramanujam
• Ramanujam was born on
December 27, 1887, in
Erode, Madras
Presidency, British India.
• Hemade contributions
to the analytical theory
of numbers.
• When hewas nearly five
years old, Ramanujam
entered the primary
school.
8. Film on Srinivas Ramanujan:
The Man Who Knew Infinity is a 2015
British biographical drama film about the Indian
mathematician Srinivasa Ramanujan, based on the 1991 book of the
same name by Robert Kanigel.
9. Major contribution in the
field of Mathematics:
Ramanujan Number:
1729 is the natural number following 1728 and preceding 1730. It is
a taxicab number, and is variously known as Ramanujan's number
and the Ramanujan-Hardy number, after an anecdote of the British
mathematician G. H. Hardy when he visited Indian
mathematician Srinivasa Ramanujan in hospital. He related their
conversation:
I remember once going to see him when he was ill at Putney. I had
ridden in taxi cab number 1729 and remarked that the number
seemed to me rather a dull one, and that I hoped it was not an
unfavourable omen. "No," he replied, "it is a very interesting number;
it is the smallest number expressible as the sum of two cubes in two
different ways."
The two different ways are:
1729 = 13 + 123 = 93 + 103