Question : Write contributions of any of your favourite Mathematician.
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Answers
- Brahmagupta was the greatest mathematician of his time and wrote on more advanced topics than arithmetic such as geometry, algebra and astronomy. He gave the solution to a general linear equation and to a general quadratic equation. But he also gave the rules for arithmetic operations involving zero. In fact, he was probably the first to treat zero as a number in its own right. However Brahmagupta made one mistake. He said zero divided by zero is always zero.
- Brahmagupta was born and grew up in western India. In his time discovering and proving that the product of two negative numbers is a positive number was quite an intellectual achievement. Even today most people remember the product of negative being positive as a rule but do not have the least idea of how to prove it.
- Consider a term of the form
- (−1)·(−1) + ((−1)
- It is true that [a·b + a] is equal to a·[b +1]. In the above term a=(−1) and b=(−1). This means that (b+1) is equal to zero and thus a·[b +1 is equal to zero. But if
- (−1)·(−1) + ((−1) = 0
- then
- (−1)·(−1) = +1
- Then in general for a and b positive
- (−a)·(−b) = (−1)·(−1)a·b = a·b
- Brahmagupta did not give a proof for the product of negative being positive.
- The proper way to think of −a is as the additive inverse of a; i.e., the number whose sum with a gives the additive identity, zero. So the product of the additive inverses of a and b is the product of a and b. Note that the additive inverse of the additive inverse of a is a; i.e., −(−a) is a. Furthermore (−a) is equal to (−1)a. Thus −(−a) is equivalent to (−1)(−1)a. But −(−a) is equal to a and hence (−1)(−1)a=a and therefore (−1)(−1)=1.
Step-by-step explanation:
The great Srinivasa Ramanujan:-
Our country is the bith place of so many arts . Our ancestors are great people with more knowledge.Aryabhatta is the genius who calculated approximate values of the distance between the earth and the stars sitting at home on varanda at night hu seeing stars .Varaha Mihira was the genius who told exact situations in astrology.He was the great person by his calculating power He calculated that what will be happening in the future days.
Brahmag Guptha was the great mathematician known for so many done operations with zero .
After Our knowledge had been gone to Western Countries,There is no one to fill the place in maths after them from India.One an ordinary person came from an ordinary place to become as a person likes ke He knows the Infinity ". He is none other than Srinivasa Ramanujan Iyengar.
He was born on 22 December 1887 in Erode, Madras Presidency , Tamil Nadu.
- Ramanujan made substantial contributions to mathematical analysis, number theory.
- He made infinite series.
- He is known for continued fractions, including solutions to
- mathematical problems then considered unsolvable.
- During his short life, Ramanujan independently compiled nearly
- 3,900 results related to mostly identities and equations.
- 1729 =10³+9³=1³+12³ is known as Ramanujan number. This idea have created the notion of the Taxicab numbers.
- The Ramanujan conjecture is an assertion on the size of the tau-function, which has as generating function the discriminant modular form Δ(q), a typical cusp form in the theory of modular forms.
- Ramanujan discovered mock theta functions.
- These are variously used in the treatment in some types of cancer.
- He was the first Indian to be elected a Fellow of Trinity College, Cambridge.
- He was elected "for his investigation in Elliptic functions and the Theory of Numbers."
He was the greatest mathematics of India .Indian Government has announced that " National Mathematics Day on December 22nd from 2011 and published a postal stamp of Ramanujan and Declared 2012 is Mathematics year.
""Ramanujan ..Who knows Infinity".