Early mathematicians were either rich at home or attached to rich and powerful people who were interested in research. Learning mathematics is more out of hobbies. In modern times, the profession of mathematicians has gradually formed. Their jobs include teaching mathematics courses in schools at all levels, guiding graduate students, conducting research in specific fields, and publishing papers and reports.
Archimedes' mathematical research work is not only to understand and sort out the known results, but also to create new mathematical achievements and theories. Many people misunderstand that mathematics is a studied field. In fact, there are still many unknown fields and problems to be solved in mathematics, and a large number of new mathematical achievements have been published. Some of these mathematical achievements are new mathematical knowledge and some are new application methods. Therefore, mental arithmetic and abacus are not mathematicians, and mathematicians may not be able to make various calculations quickly. People who are engaged in teaching, popular science and other mathematics-related work, but not engaged in mathematical research, can be called "mathematicians" in a broad sense.
It is generally believed that the earliest mathematician who can be verified in history is Thales of ancient Greece.
A great mathematician
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Pythagoras, Euclid, Archimedes, Gauss, Leibniz, Hilbert, Cantor, Klein, Riemann, Amy Norther, Dirichlet, Courand, Zemelo, Descartes, Lagrange, Laplace, Fermat, Cauchy, Poisson, Katan, Galois, Fourier, Grounddick, Poincare, Newton. Daniel bernoulli, Jacob Bernoulli, johann bernoulli, Aldis, von Neumann, Abel, Pontryagin, Arnold, André Andrey Kolmogorov, Minkowski, Galileo, Fibonacci, Ramanukin, Hamilton, fleet Lin.