Bismi Jaffer

 Fibonacci Numbers Leonardo Bonacci known as Fibonacci was an Italian mathematician, born around 1176 considered to be the most talented Western mathematician of the middle ages. Fibonacci travelled extensively around the Mediterranean coast, meeting with many merchants and learning of their systems of doing arithmetic. Fibonacci popularised the Hindu-Arabic numerical system to the western world primarily through his composition in 1202 of  Liber Abaci(Book of Calculation). He solved a problem involving the growth of a population of rabbits based on idealised assumptions. The solution generation by generation was a sequence of numbers later known as Fibonacci numbers. Fibonacci considers the growth of an idealised (biologically unrealistic), rabbit population, assuming that a newly born pair of rabbits, one male, one female are put in a field, rabbits are made to mate at the age of one month so that at the end of its second month a female can produce another pair of rabbits, r...

Srinivasa Ramanuja,  born on December 22 1887  in Erode India is widely regarded as one of the greatest mathematician of 20th century. His life and work continue to inspire mathematicians and scientists around the world. Ramanujan's story is one of extraordinary talent, unyelding determination and the power of collaboration across cultures and borders. Ramanujan's early life was marked by a pasion of mathematics. He had a natural aptitude for numbers and began exploring mathematical concepts at a very young age. Unfortunately, his formal education was limited due to financial constraints and illness, but he preserved in his self-duty. At the age of 16, he independently discovered complex theorems and infinite series, setting the stage for his groundbreaking contributions to mathematics. He independently compiled nearly 3900 results. Ramanujan proved that any big number can be written as the sum of not more than four primes. He showed how to divide a number into two or more sq...