| Calculus Timeline | 
| Person | Date | Mathematical Discovery | Pythagoras | -5** | discovered irrationals like square root of 2 | 
| Archimedes | -2** | various volumes and surface areas (parabola, cone, sphere) center of gravity, integration by exhaustion | 
| Thabit ibn-Qurra | 8** | integral of square root of x | 
| al-Biruni | 10** | instantaneous velocity and acceleration | 
| Grégorie de St Vincent | 1620 | limit notion, area of hyperbola | 
| Cavalieri | 1630 | axioms for area | 
| Fermat | 1630 | minima & maxima | 
| Napier, Sarasa | 1610, 1640 | log | 
| Wallis | 1650 | series | 
| Pascal | 1650 | integrals of polynomials | 
| Leibniz & Newton | 1670 | infinitesimal calculus | 
| Bernoulli | 1680 | differential equations | 
| L'Hospital | 1690 | L'Hospital's rule for finding limits | 
| Rolles | 1690 | Mean Value Theorem for derivative | 
| Taylor | 1710-40 | Taylor series (infinite polynomials) | 
| Euler | 1750 | curvature of surfaces, many other results | 
| Lagrange | 1790 | Lagrange method | 
| Fourier | 1800 | Fourier series (approx by infinite trig series) | 
| Bolzano | 1810 | formal definition of limits and continuity | 
| Cauchy | 1820 | formal definition of limits and continuity, residue calculus | 
| Weierstrass | 1840 | uniform convergence | 
| Riemann | 1850 | definition of integral, differential geometry | 
| Cantor | 1870 | sets | 
| Hermite | 1870 | e is transcendental | 
| Lindemann | 1880 | pi is transcendental | 
| Poincaré | 1890 | topology | 
| Lebesgue | 1900 | Lebesgue integral | 
Last update: 2009 January 22