Leonhard Euler
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The greatest mathematician of modern times is Carl Friedrich Gauss (1777-1855). He is also known as "Prince of Mathematicians", "greatest mathematician since antiquity" and "German Archimedes". According to Felix Klein, greatest mathematician of the nineteen century, "if we seek heroes of roughly equal stature in the history of our science, only two forerunners of Gauss can be considered to have been equally blessed by nature: Archimedes and Newton" (in "Development of Mathematics in the 19th Century", page 55).
Srinivasa Ramanujan (1887-1920)
Yes, Pythagoras is a mathematician.
A mathematician can be a engineer, an astronaut or a electrician.
Edmund LandauArchimedes