Question

The place of birth of Sangamagrama Madhavan can be
known from the thirteenth sloka of his only surviving book,
Venuaroham, which runs as follows:
Bekuladhishtitatwena viharoyo visishyate
Grihanamanisoyam syannigenamanimadhava.
Madhavan belongs to the house described as the
bekuladhishtita vihar or in Malayalam Iranji (Bakulam) Ninna
Palli. Even to this date there is a house named Iringatappally
in Kallettunkara near Iringalakkuda. Ulloor describes
Sangamagrama Madhavan as belonging to Iringatappally house
in Sangama grama (village of Sagameswara, diety of Koodal
Manikya Temple-Iringalakkuda). From the writings of his
disciples, the period of his life time can be fixed as 1350 –1425,
three hundred years before the life time of Newton, Gregory
and Leibnitz

Answer 1

Explanation:

The place of birth of Sangamagrama Madhavan can be

known from the thirteenth sloka of his only surviving book,

Venuaroham, which runs as follows:

Bekuladhishtitatwena viharoyo visishyate

Grihanamanisoyam syannigenamanimadhava.

Madhavan belongs to the house described as the

bekuladhishtita vihar or in Malayalam Iranji (Bakulam) Ninna

Palli. Even to this date there is a house named Iringatappally

in Kallettunkara near Iringalakkuda. Ulloor describes

Sangamagrama Madhavan as belonging to Iringatappally house

in Sangama grama (village of Sagameswara, diety of Koodal

Manikya Temple-Iringalakkuda). From the writings of his

disciples, the period of his life time can be fixed as 1350 –1425,

three hundred years before the life time of Newton, Gregory

and Leibnitz

Answer 2

Answer:

mark me as brainlist

Explanation:

We know that one of the major contributions of Indian

mathematics is the concept of zero and the decimal number

system. One cannot pinpoint to any particular person to the

discovery of zero. The concept was prevalent during the Vedic

periods. Another important valuable contribution to the world of

mathematics is the concept of infinity imported to mathematics

credit of which goes to Sangamagrama Madhavan. He was able

to show that one can get a finite value by adding infinite terms

or a finite value can be expressed as infinite series. It is quite

interesting to note that both the concepts of zero and infinity are contributions of India which influenced the Indian systems

of philosophy to a great extent. Rudimentary concept of infinity

could have been there in the mind of Indian philosophers. That

is why we have the sloka in Isavasyopanishad:

Poornamada, poornamidam Poornad Pooranm udachate,

Poornasya poornamadaya Poornamevavasisshyate

meaning that is infinite, this is infinite; when infinity is

added to infinity, infinity remains and when infinity is taken

from infinity, infinity remains. This is true for zero also. No

wonder that Indians represents the infinite extension of the sky

with number zero in Bootasankhya representation of numbers.

Sangamagrama Madhavan was the pioneer to invent the infinite

series in trigonometry for sine and cosines of angles.

Madhavan used the infinite series formula to evaluate the

value of π correct to 11 decimal places 3.14159265359. Recent

studies show that calculus, an important branch of modern

mathematics, had originated in the Kerala School well before the

time of Newton and Leibnitz. In Jyestadeva’s Yukti Bhasha which

dates hundreds of years before the time of Newton and Leibnitz,

we find the formulae for integration and differentiation. It is said

that Yukti Bhasha is the first textbook in the world dealing with

calculus. Another wonderful contribution of Sangamagrama

Madhavan is his table for sine of an angle from 0–90 degrees at

an interval of 3.75 degrees. He was also an expert in spherical

geometry and was usually called ‘Golavid’ (an expert in Spherical

Geometry).