Srinivasa Ramanujan Iyengar
Srinivasa Ramanujan Iyengar
Loftus – 3A
Srinivasa Ramanujan Iyengar was one of the greatest mathematicians in history. He was born in Erode, Tamil Nadu state, India and went to college, but dropped out because he was not focused on anything academic besides mathematics. On the bright side, a clerk in Madras, India sent a letter to an English mathematician named G. H. Hardy in England showing 120 statements of theorems on infinite series, improper integrals, continued fractions, and number theory that Srinivasa had come up with. Hardy said that they "must be true because, if they were not true, no one would’ve had the imagination to invent them". Hardy knew then that Srinivasa would be more beneficial to the mathematical world if he went to England with him.
One of his major contributions to mathematics was the formula for the number p(n) of partitions of a number n. Srinivas’s formula means that a partition of a positive integer n is just an expression for n as a sum of positive integers, no matter what their order is. This means that p(4) = 5 because 4 can be written as 1+1+1+1, 1+1+2, 2+2, 1+3, or 4.We use this formula very much today not realizing it. He and Hardy worked on this formula together.
Another major contribution to the mathematics world is that he created an odd looking formula that is used to faster calculate the formula of pie. This formula using pie was only created because it would make it faster and easier to figure it out. The formula is 992 / π = √8 ∑k=0,∞ (4k! (1103+26390 k) / (k!4 3964k)). Srinivasa mainly focused on real numbers and not complex numbers.
One last contribution to mathematics that Srinivasa made was the work with the partition enumeration function p(). Again he and Hardy developed an analytic approximation to p() together. This new discovery was important because it showed that you could plug in numbers into a function and figure out an equation. This was probably the most important discovery he made.
As you can
Loftus – 3A
Srinivasa Ramanujan Iyengar was one of the greatest mathematicians in history. He was born in Erode, Tamil Nadu state, India and went to college, but dropped out because he was not focused on anything academic besides mathematics. On the bright side, a clerk in Madras, India sent a letter to an English mathematician named G. H. Hardy in England showing 120 statements of theorems on infinite series, improper integrals, continued fractions, and number theory that Srinivasa had come up with. Hardy said that they "must be true because, if they were not true, no one would’ve had the imagination to invent them". Hardy knew then that Srinivasa would be more beneficial to the mathematical world if he went to England with him.
One of his major contributions to mathematics was the formula for the number p(n) of partitions of a number n. Srinivas’s formula means that a partition of a positive integer n is just an expression for n as a sum of positive integers, no matter what their order is. This means that p(4) = 5 because 4 can be written as 1+1+1+1, 1+1+2, 2+2, 1+3, or 4.We use this formula very much today not realizing it. He and Hardy worked on this formula together.
Another major contribution to the mathematics world is that he created an odd looking formula that is used to faster calculate the formula of pie. This formula using pie was only created because it would make it faster and easier to figure it out. The formula is 992 / π = √8 ∑k=0,∞ (4k! (1103+26390 k) / (k!4 3964k)). Srinivasa mainly focused on real numbers and not complex numbers.
One last contribution to mathematics that Srinivasa made was the work with the partition enumeration function p(). Again he and Hardy developed an analytic approximation to p() together. This new discovery was important because it showed that you could plug in numbers into a function and figure out an equation. This was probably the most important discovery he made.
As you can