The almost unparalleled depth and impact of the concepts introduced by Riemann.
His investigations in geometry led to Riemannian geometry.
His investigations in trigonometric series gave us the modern definition of function and a first notion of the integral (Riemannian integral).
His 9-page investigation into number theory founded the field of analytic number theory.
Riemann was so ahead of his time that the "approximate functional equation" that he
devised during the time of publication of his paper on number theory, was only rediscovered 40 years later after that Siegel investigated his notes.
He is known for the Riemann Hypothesis, the biggest currently open problem in mathematics.
He is also known for the development of variational methods and the application of the Dirichlet principle.
An mathematician of such a caliber ... is very rare. I think that Riemann is in the same league as Grothendieck.
The Riemann Hypothesis was a conjecture(a "guess") made by Bernhard Riemann in his groundbreaking 1859 paper on Number Theory. The conjecture has remained unproven even today. It states the "The real part of the non trivial zeros of the Riemann Zeta function is 1/2"
i am not a mathematician
Srinivasa Ramanujan was a great mathematician. He was interested only in mathematics. He concentrate only on maths hence failed in other subjects. He was later called abroad to meet one of the great mathematicians who was really impressed by him. He continued practicing maths and made many new formulas which we study. Hence, he became a great mathematician, as well as famous.
Leonhard Euler is probably the best mathematician in the history of the world. He made amazing discoveries such as the number theory, the graph theory, etc.
he loved maths
Blaise Pascal
leonhard euler
pythagoras
The youngest mathematician to have made significant contributions to the field is Terence Tao, who became a full professor at UCLA at the age of 24 and has won numerous awards for his work in mathematics.
An Indian mathematician by the name of Arya Bhatta discovered the number zero.
Bernoulli
The ancient Greek mathematician Eratosthenes is called the "father of geography" for that reason.