yes such as M.A Girschick
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He made his 'discoveries' by studying and compiling the works of other mathematicians who lived many years before him.
Fibonacci was a mathematician who travelled and studied under other mathematicians. He received a salary from the Republic of Pisa for his work in math and science.
no he only worked by himself because when it came to credit and apluading he thought he was the only one who should deserve it.
maths is vital in every job. science uses a maths, history, music. most things involve maths in one way or the other.
Charles Hermite