| When | Who | What |
| 540 B.C. |
Pythagoras |
Geometry, Arithmetic |
| 300 B.C. |
Euclid |
Deductive Reasoning in Geometry |
| 225 B.C. |
Archimedes |
Circle and sphere, Infinite Series, Mechanics, Hydrostatics |
| 300 |
Pappus |
Collections and commentaries |
| 820 |
Al-Khwarizmi |
Algebra |
| 1202 |
Fibonacci |
Arithmetic, algebra, geometry |
1545 |
Tartaglia, Cardano, Ferrari |
Algebraic equations of higher degrees |
| 1610 |
Kepler |
Planetary motion |
| 1635 |
Fermat |
Number theory |
| 1637 |
Descartes |
Analytic geometry |
| 1650 |
Pascal |
Conics, Probability theory |
| 1680 |
Newton |
Calculus, Planetary motion, Infinite Series |
| 1682 |
Leibniz |
Calculus |
| 1700 |
Bernoulli |
Calculus, Probability |
| 1750 |
Euler |
Analysis, Complex variables, Number Theory |
| 1780 |
Lagrange |
Differential equations, Calculus of Variations |
| 1805 |
Laplace |
Differential equaions, Planetary motion, Probability |
| 1806 |
Legendre |
Least squares method |
| 1807 |
Fourier |
Fourier series |
| 1820 |
Gauss |
Number theory, Differential geometry, Algebra |
| 1825 |
Bolyai, Lobatchevsky |
Non-Euclidean geometry |
| 1829 |
Galois |
Group theory |
| 1840 |
Cauchy |
Anaylsis |
| 1854 |
Riemann |
Integration theory, Complex variables, Geometry |
| 1873 |
Maxwell |
Electromagnetics |
| 1879 |
Frege |
First-order Logic |
| 1880 |
Cantor |
Set theory |
| 1890 |
Weirstrass |
Real and Complex Analysis |
| 1895 |
Poincare |
Topology, Differential equations |
| 1897 |
Frobenius |
Group theory |
| 1899 |
Hilbert |
Integral equations, Foundations |
| 1902 |
Lebesgue |
Measure theory |
| 1907 |
Brouwer |
Topology, Constructivism |
| 1910 |
Russel, Whitehead |
Mathematical logic |
| 1915 |
Einstein |
General theory of relativity |
| 1926 |
Noether, Artin |
Algebra |
| 1931 |
Goedel |
Incompleteness theorem |
| 1935 |
Church |
Lambda calculus |