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1501-1576 |
Gerolamo Cardano. Born 24 September 1501 Pavia, Died 21 September 1576 (aged 74) Italy. “Algebra. first systematic use of negative numbers. published with attribution the solutions of other mathematicians for the cubic and quartic equations, and acknowledged the existence of imaginary numbers.” |
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1550-1617 |
John Napier. discovered logarithms. Use of decimal point. |
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1564-1642 |
Galileo Galilei. Born 15 February 1564, Pisa, Duchy of Florence. Died 8 January 1642 (aged 77) Arcetri. Pendulum, Gravity, astronomy. |
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1584-1667 |
Gregory St. Vincent. Born: March 22, 1584, Bruges, Belgium, June 5, 1667, Ghent, Belgium. Publishes in 1647 Opus geometricum quadrature ciculi et sectionum coni. First use of method of exhaustion in geometry. First use of method of chords to transform one conic to another. First use of geometric series. First to settle Zeno’s Achilles paradox. https://en.wikipedia.org/wiki/Gr%C3%A9goire_de_Saint-Vincent |
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1596-1650 |
René Descartes. Born: March 31, 1596, France, Died: Feb. 11, 1650, Stockholm, Sweden. Wrote Descartes Meditations on First Philosophy (1641). |
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1607-1665 |
Pierre de Fermat. Born: 1607, Beaumont-de-Lomagne, France, Died: Jan. 12, 1665, Castres, France. Important contributions to analytical geometry, probability, number theory and calculus. |
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1616-1703 |
John Wallis. Publishes Arithmetica infinitorum in 1655. Created the arithmetical concept of limit. First to use the symbol \(\infty \). First to use the term hyper-geometric series in his 1655 book Arithmetica Infinitorum.
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1623-1662 |
Blaise Pascal. Born: June 19, 1623, Clermont-Ferrand, France. Died: August 19, 1662, Paris, France. projective geometry. Corresponded with Pierre de Fermat on probability theory. |
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1625-1686 |
Pietro Mengoli. Alternative proof that harmonic series diverges. posed the famous Basel problem, Solved by Euler in 1735. In 1650 proved that the sum of the alternating harmonic series is equal to the natural logarithm of 2. |
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1629-1695 |
Christiaan Huygens. One of his famous works is De horologio oscillatorio published in Paris in 1673. Invented pendulum clock. Wrote the first formal book on probability. Proposed the wave theory of light. Publication of his Opuscula posthuma in 1703 after his death. |
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1630-1677 |
Isaac Barrow. Professor of Mathematics in London and Cambridge. Famous for method of tangents. Publishes Lectiones geometrica (1670) and Lectiones mathematica (1683). |
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1638-1675 |
James Gregory. Born in Drumoak, United Kingdom. Scottish mathematician. Taylor series. Died in Edinburgh, United Kingdom. |
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1643-1727 |
Isaac Newton. Born in Woolsthorpe, Lincolnshire, England. |
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1646-1716 |
Gottfried Wilhelm Leibniz. Born in Leipzig, Germany. |
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1646-1716 |
Michel Rolle. Born 21 April 1652, Died 8 November 1719 (aged 67) Paris, Kingdom of France French mathematician. Rolle’s theorem (1691). Apparently he also knew about Gaussian elimination. |
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1655-1705 |
Jacob Bernoulli. Born in Basel, Switzerland. |
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1667-1754 |
Abraham de Moivre. French mathematician known for de Moivre’s formula. worked on the normal distribution and probability theory. Was Friend of Newton. |
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1667-1748 |
Johann Bernoulli. Born in Basel, Switzerland. |
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1676-1754 |
Jacopo Francesco Riccati. Born 28 May 1676 Venice, Italy, Died 15 April 1754 Italy(aged 77). Named for the Riccati ODE |
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1669 |
Isaac Newton becomes Chair of Mathematics in Cambridge when Isaac Barrow vacates this position for Newton. |
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1669 |
Isaac Newton. Writes major Work on Calculus. "De analysi" or "On Analysis by Equations with an infinite number of terms". First time the series for \(\sin (x)\) and \(\cos (x)\) derived. Also gives Quadrature rules for first time. This work was actually published in 1711. https://en.wikipedia.org/wiki/De_analysi_per_aequationes_numero_terminorum_infinitas |
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1671 |
James Gregory. Finds power series for \(\arctan (x)\) |
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June 13, 1676 |
Newton sends famous letter to H. Oldenburg, containing first announcement of binomial theorem using negative and fractional exponents. http://www.newtonproject.ox.ac.uk/view/texts/normalized/NATP00197 |
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1676 |
Isaac Newton. epistola prio letter Newton sends to Leibniz giving for first time account of the Binomial series expansion |
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1682-1716 |
Roger Cotes. Born: July 10, 1682, Burbage, United Kingdom, Died: June 5, 1716, Cambridge, United Kingdom. Apparently Cotes knew of \(e^{i \pi }=-1\) before Euler. |
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1684 |
Gottfried Wilhelm Leibniz. Publish first paper on differential calculus. "A new method for maxima and minima, and also tangents, which is impeded neither by fractional nor by irrational quantities, and a remarkable type of calculus for this". |
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1685-1731 |
Brook Taylor. Born 18 August 1685, Edmonton, England. Died 29 December 1731 (aged 46) London, England. Taylor’s theorem, Taylor series. |
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1687 |
Isaac Newton. First edition of Principia Mathematica published. https://en.wikipedia.org/wiki/Philosophi%C3%A6_Naturalis_Principia_Mathematica |
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1689 |
Jacob Bernoulli. Publication of "Treatise on infinite series and their finite sums". |
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1698-1746 |
Colin Maclaurin. Born February 1698 , Scotland. Died 14 June 1746 (aged 48) Edinburgh, Scotland. EulerMaclaurin formula, Maclaurin series. Integral test for convergence. In 1742, he published a major work consisting of two volumes comprising 763 pages, A Treatise of Fluxions.
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1690-1764 |
Christian Goldbach. Born March 18, 1690 Prussia, Died November 20, 1764 (aged 74) Moscow, Russian Empire. Goldbach’s conjecture: Every even integer greater than 2 can be expressed as the sum of two primes. https://en.wikipedia.org/wiki/Christian_Goldbach https://explainingscience.org/2019/09/01/the-goldbach-conjecture/
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1692-1770 |
James Stirling. Born May 1692, Scotland. Died 5 December 1770 (Aged 78) Edinburgh, Scotland Stirling numbers, Stirling permutations, Stirling’s approximation. https://en.wikipedia.org/wiki/James_Stirling_(mathematician) https://hemarino18.wixsite.com/jamesstirling
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1700-1782 |
Daniel Bernoulli. Born: Feb. 8, 1700, Groningen, Netherlands Died: March 17, 1782, Basel, Switzerland. Applications of mathematics to mechanics, fluid mechanics, and work in probability and statistics. |
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1701-1761 |
Thomas Bayes. Born 1701 London, England. Died 7 April 1761 (aged 59), Kent, England. statistician. Bayes’ theorem. |
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1704-1752 |
Gabriel Cramer. Born 31 July 1704 Geneva. Died 4 January 1752 (age 47), France Cramer rule. (1750). Solution to the St. Petersburg Paradox . Treatise on algebraic curves (1750).
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1705 |
Jacob (James) Bernoulli. Died in Basel, Switzerland |
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1707-1783 |
Leonhard Euler. Born April 15, 1707 in Basel, Switzerland. Many contributions. Graph theory, number theory, series expansion, integration, analysis, complex numbers. Hypergeometric series. |
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1713-1765 |
Alexis Clairaut. Born 13 May 1713[1] Paris. Died 17 May 1765 (aged 52) Paris Clairaut’s theorem. gravitational three-body problem |
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1713 |
Isaac Newton. Second edition of Principia Mathematica published. https://en.wikipedia.org/wiki/Philosophi%C3%A6_Naturalis_Principia_Mathematica |
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Nov. 14, 1716 |
Gottfried Wilhelm Leibniz. Died. Hannover, Germany |
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1717-1783 |
Jean le Rond d’Alembert. Born. Nov. 16, 171 Paris, France. First to propose that calculus be based on concept of limit. Analytical Solution to wave equation. |
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1726 |
Leonhard Euler. Dissertation published (Physical dissertation on sound). |
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March 31, 1727 |
Isaac Newton. Died. Kensington, London, United Kingdom https://www.westminster-abbey.org/abbey-commemorations/commemorations/sir-isaac-newton |
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1728-1777 |
Johann Heinrich Lambert. Born 26 August 1728, France. Died 25 September 1777 (aged 49) Berlin, Prussia. Introduced hyperbolic functions into trigonometry. non-Euclidean space. First proof that \(\pi \) is irrational using a generalized continued fraction for the function \(\tan x\). Formula for the relationship between the angles and the area of hyperbolic triangles. Theory of map projections. |
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Oct. 1729 |
Leonhard Euler. Letter to Christian Goldbach showing first proposal to extend factorial to positive numbers which can be non-integer. |
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1736-1813 |
Joseph-Louis Lagrange. Born 25 January 1736, Died 10 April 1813 (aged 77) Paris, France. Lagrange equations. Succeeded Euler as director of mathematics at Prussian Academy of Sciences in Berlin. Lagrange’s treatise on analytical mechanics. Classical mechanics. Variational calculus. Number theory.
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1746 |
d’Alembert discovers the solution to wave equation named after him. |
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1748 |
Leonhard Euler. Publishes text "Introduction to analysis of infinite". https://en.wikipedia.org/wiki/Introductio_in_analysin_infinitorum |
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Jan. 1, 1748 |
Johann Bernoulli. Died in Basel, Switzerland. |
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1749-1827 |
Pierre-Simon Laplace. Born: March 23, 1749, Beaumont-en-Auge, France Died: March 5, 1827, Paris, France. Laplace’s equation, and the Laplace transform. Wrote five-volume Mécanique Céleste
https://en.wikipedia.org/wiki/Pierre-Simon_Laplace https://en.wikipedia.org/wiki/Trait%C3%A9_de_m%C3%A9canique_c%C3%A9leste |
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1752-1833 |
Adrien-Marie Legendre. Born Sep. 18 1752, in Paris, France. French mathematician. Legendre polynomials. Legendre transformation. |
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1765-1822 |
Paolo Ruffini. Born September 22, 1765 Italy, Died May 10, 1822 (aged 56) Italy. First proof (AbelRuffini theorem) that quintic (and higher-order) equations cannot be solved by radicals. Ruffini’s rule. group theory. probability. quadrature of the circle. |
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1768-1830 |
Joseph Fourier. Born March 21,1768 in Auxerre, France. Most famous for of Fourier series, and Harmonic analysis. Discovery of Greenhouse effect. |
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1768-1822 |
Jean-Robert Argand. Born July 18, 1768 Geneva, Died August 13, 1822 (aged 54) Paris. Argand diagram in complex analysis, the first rigorous proof of the Fundamental Theorem of Algebra. https://en.wikipedia.org/wiki/Jean-Robert_Argand https://prabook.com/web/jean-robert.argand/2202845 |
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1776-1831 |
Sophie Germain. Born 1 April 1776, France. Died 27 June 1831 (aged 55) Paris, France. Elasticity theory (grand prize Paris Academy of Sciences). Worked on Fermat’s Last Theorem. correspondence with Lagrange, Legendre, and Gauss |
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1777-1855 |
Carl Friedrich Gauss. Born in Brunswick, Germany. Born April 20, 1777. Many contributions to Mathematics and Prime number theory. first satisfactory proof of the fundamental theorem of algebra. Quadratic reciprocity law. Full systematic treatment of Hypergeometric series. Hypergeometric function. |
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1781-1840 |
Siméon Denis Poisson. Born 21 June 1781, France. Died 25 April 1840 (aged 58) memoirs on the theory of electricity and magnetism. Applied mathematics. Poisson PDE named after him. |
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Sep. 18, 1783 |
Leonhard Euler. Died in Saint Petersburg, Russia |
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Oct. 29, 1783 |
Jean le Rond d’Alembert. Died. Paris, France |
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1784-1846 |
Friedrich Wilhelm Bessel. Born 22 July 1784 Germany. Died 17 March 1846 (aged 61) Russia. Distance from the sun to another star by the method of parallax. Bessel functions. |
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1785-1836 |
Claude-Louis Navier. Born 10 February 1785, France. Died 21 August 1836 (aged 51) Paris Known for NavierStokes equations. |
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1789-1857 |
Augustin-Louis Cauchy. Born August 21, 1789 Paris, France. Foundation of analysis, complex number theory. |
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1793-1841 |
George Green. Born 14 July 1793, Died 31 May 1841. England. Green function, Green’s theorem.
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1802-1829 |
Niels Henrik Abel. Born 5 August 1802 Norway. Died 6 April 1829 (aged 26) Norway. First complete proof demonstrating the impossibility of solving the general quintic equation in radicals. Elliptic functions. Abelian functions. |
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1803-1855 |
Jacques Charles François Sturm. Born 29 September 1803 Geneva. Died 15 December 1855 (aged 52) Paris Sturm-Liouville form of ODE. https://en.wikipedia.org/wiki/Jacques_Charles_Fran%C3%A7ois_Sturm |
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1804-1851 |
Carl Gustav Jacob Jacobi. Born December 10, 1804, Potsdam, Germany, Died Feb. 18, 1851, Berlin, Germany. German mathematician. Elliptic functions, dynamics, differential equations, determinants, and number theory. |
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1805-1859 |
Johann Peter Gustav Lejeune Dirichlet. Born, 13 Feb. 1805, Duren, French Empire. Analytic number theory, formulated conditions for Fourier series convergence. https://en.wikipedia.org/wiki/Peter_Gustav_Lejeune_Dirichlet |
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1805-1865 |
William Rowan Hamilton. Born: August 4, 1805, Dublin, Ireland. Died Sep. 2, 1865, Dublin, Ireland. Irish mathematician. Optics, classical mechanics and algebra, Hamiltonian mechanics. Quaternions. Hamiltonian equations. |
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1809-1882 |
Joseph Liouville. Born 24 March 1809, France. Died 8 September 1882 (aged 73) Paris, France number theory, complex analysis, differential geometry and topology. Sturm-Liouville form of ODE. |
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1809-1877 |
Hermann Grassmann. Born 15 April 1809 Poland. Died 26 September 1877 (aged 68), German Empire. First known appearance of linear algebra and the notion of a vector space. First axiomatic presentation of arithmetic, use of the principle of induction. Grassmann’s color law. Exterior algebra. |
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1810-1893 |
Ernst Kummer. Born 29 January 1810 Sorau, Prussia. Died 14 May 1893 (aged 83) Berlin, Germany. Hypergeometric series, Fermat’s last theorem. Kummer extensions of fields. |
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1811-1832 |
Évariste Galois. Born: Oct. 25, 1811, Bourg-la-Reine, France Died: May 31, 1832, Paris, France. Galois theory: necessary and sufficient condition for a polynomial to be solvable by radicals. |
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1815-1897 |
Karl Weierstrass. Born, Oct. 31, 1815. Ennigerloh, Germany. |
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1821 |
Augustin-Louis Cauchy. the Cours danalyse, to accompany his course in analysis at the Ecole Polytechnique https://www.maa.org/press/periodicals/convergence/mathematical-treasure-cauchy-s-cours-d-analyse |
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1821-1895 |
Arthur Cayley. Born: August 16, 1821, Richmond, United Kingdom. Died: Died: Jan. 26, 1895, Cambridge, United Kingdom. Algebra. CayleyHamilton theorem, Cayley’s theorem. |
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1822-1901 |
Charles Hermite. Born 24 December 1822. Died 14 January 1901 (aged 78) Paris. Famous for Hermite polynomials and Hermite interpolation, spline, quadratic forms, elliptic functions and algebra. |
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1822 |
Joseph Fourier Publishes "The analytical theory of heat". https://www.amazon.com/Analytical-Theory-Dover-Books-Physics/dp/0486495310 |
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1823 |
Augustin-Louis Cauchy. Published Calcul Infinitésimal |
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1826-1866 |
Bernhard Riemann. Born: Sep. 17, 1826, Kingdom of Hanover. Died: July 20, 1866, Verbania, Italy. Formulation of the integral, the Riemann integral, and work on Fourier series. His famous 1859 paper on the prime-counting function. Riemann geometry. |
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May 16, 1830 |
Joseph Fourier Died in Paris, France |
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Jan. 10, 1833 |
Adrien-Marie Legendre. Died in Paris, France |
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1831-1879 |
James Clerk Maxwell. Born 13 June 1831 Edinburgh, Scotland. Died 5 November 1879 (aged 48) Cambridge, England. Mathematical physics. Maxwell’s equations. Published "A Dynamical Theory of the Electromagnetic Field" in 1865.
https://en.wikipedia.org/wiki/James_Clerk_Maxwell https://en.wikipedia.org/wiki/A_Dynamical_Theory_of_the_Electromagnetic_Field |
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1842-1899 |
Marius Sophus Lie. Born: December 17, 1842, Nordfjordeid, Norway. Died: Died: Feb. 18, 1899, Oslo, Norway. Norwegian mathematician. Theory of continuous symmetry, study of geometry and differential equations. differential topology. |
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1843-1921 |
Karl Hermann Amandus Schwarz. Born 25 January 1843 Prussia. Died 30 November 1921 (aged 78) Berlin, Germany. CauchySchwarz inequality. Improved the proof of the Riemann mapping theorem. |
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1844 |
Joseph Liouville proved the existence of transcendental numbers |
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1845-1918 |
Georg Cantor. Born: March 3, 1845, Saint Petersburg, Russia Died: Jan. 6, 1918, Halle (Saale), Germany. Set theory. |
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1849-1917 |
Ferdinand Georg Frobenius. Born 26 October 1849 Berlin. Died 3 August 1917 (aged 67) Berlin. Differential equations (Frobenius series). first full proof for the CayleyHamilton theorem. FrobeniusStickelberger formulae |
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1849-1925 |
Felix Klein. Born 25 April 1849, Germany. Died 22 June 1925 (aged 76) Germany. Group theory, complex analysis, non-Euclidean geometry. Died: Jan. 6, 1918, Halle (Saale), Germany. Set theory. |
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1851 |
Joseph Liouville. Publish paper showing for first time a transcendental number \(\sum _{k=1}^\infty \frac {1}{10^{k!}}\) http://mathshistory.st-andrews.ac.uk/Biographies/Liouville.html |
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1854-1912 |
Henri Poincare, Born April 29,1854. Died July 17, 1912 |
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Feb. 23, 1855 |
Carl Friedrich Gauss Died in Gottingen, Germany |
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1856-1941 |
Émile Picard.Born 24 July 1856 Paris, France. Died 11 December 1941 (aged 85) Paris, France French mathematician. Picard iteration. differential equations. Picard’s little theorem. algebraic topology. |
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1856-1894 |
Thomas Joannes Stieltjes. Born 29 December 1856, Netherlands. Died 31 December 1894 (aged 38) , France. continued fractions. RiemannStieltjes integral. |
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May 23, 1857 |
Augustin-Louis Cauchy Died. Sceaux, France |
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May 5, 1859 |
Johann Peter Gustav Lejeune Dirichlet. Died (aged 54), Gottingen, Kingdom of Hanover |
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1857-1918 |
Aleksandr Mikhailovich Lyapunov. Born June 6, 1857, Russian Empire. Died November 3, 1918 (aged 61) Ukrainian People’s Republic. stability theory of a dynamical system. |
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1859-1929 |
Karl Heun. Born 3 April 1859, Germany; died 10 January 1929, Germany. Heun’s equation, Heun special function, Heun’s method. |
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1861-1947 |
Alfred North Whitehead. Born 15 February 1861, England. Died 30 December 1947 (aged 86) Cambridge, Massachusetts, US. mathematical logic. Wrote Principia Mathematica with Bertrand Russell. |
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1861-1935 |
Ivar Otto Bendixson. Born August 1, 1861, Stockholm Sweden. Died November 29, 1935 (aged 74) Stockholm Sweden. PoincaréBendixson theorem. “The PoincaréBendixson theorem, which says an integral curve which does not end in a singular point has a limit cycle, was first proved by Henri Poincaré but a more rigorous proof with weaker hypotheses was given by Bendixson in 1901” “In 1902, he derived Bendixson’s inequality which puts bounds on the characteristic roots of matrices” |
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1862-1943 |
David Hilbert. Born: Jan. 23, 1862, Königsberg. Died: Feb. 14, 1943, Göttingen, Germany. German mathematician. Invariant theory, calculus of variations, commutative algebra, algebraic number theory, Spectral theory of operators and its application to integral equations, mathematical physics. |
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1864-1909 |
Hermann Minkowski. Born: June 22, 1864, Aleksotas, Kaunas, Lithuania. Died: Jan. 12, 1909, Göttingen, Germany. German mathematician. Geometry of numbers. Mathematical physics. Theory of relativity. |
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1870-1951 |
Abraham Cohen. Born 11 Sep 1870, Died 25 Apr 1951 (aged 80) Professor of Mathematics, Johns Hopkins University. Published "AN INTRODUCTION TO THE LIE THEORY OF ONE PARAMETER GROUPS WITH APPLICATIONS TO THE SOLUTION OF DIFFERENTIAL EQUATIONS" and "The Differential Equation" book. |
No image found. |
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1875 |
Karl Weierstrass. Paul duBois Reymond publishes account of Karl Weierstrass pathological function which is continuous at every point but differentiable nowhere. Karl first discovered this function in the 1860’s. If \(a\geq 3\) is an odd integer and if \(0<b<1\) such that \(ab>1+\frac {3 \pi }{2}\) then the function \(f(x)=\sum _{k=0}^{\infty } b^k \cos (\pi a^k x)\) is such. |
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1877-1947 |
G. H. Hardy. English mathematician. Born: Feb. 7, 1877, Cranleigh, United Kingdom. Died: December 1, 1947, Cambridge, United Kingdom. Number theory and mathematical analysis |
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1879-1955 |
Albert Einstein. Born: March 14, 1879, Ulm, Germany. |
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1882-1935 |
Emmy Noether. Born: March 23, 1882, Erlangen, Germany Died: April 14, 1935, Bryn Mawr, PA. Abstract algebra and theoretical physics. |
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1884-1944 |
George David Birkhoff. Born March 21, 1884, Michigan. Died November 12, 1944 (aged 60) Cambridge, Massachusetts. American mathematician best. ergodic theorem. Dynamical systems. Geometry. |
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1885-1955 |
Hermann Weyl. Born 9 November 1885, Germany. Died 8 December 1955 (aged 70) Zurich, Switzerland. Theoretical physicist. Combining general relativity with the laws of electromagnetism. |
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1887-1920 |
Srinivasa Ramanujan. Born: December 22, 1887, Erode, India Died: April 26, 1920, Kumbakonam, India. The Ramanujan prime, the Ramanujan theta function, partition formulae and mock theta function. Prime theory. |
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1890-1961 |
Erich Kamke. Born 18 August 1890, German Empire. Died 28 September 1961 (aged 71), Germany. Differential equations.
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1893-1945 |
Stefan Banach. Born 30 March 1892 Poland, Died 31 August 1945 (aged 53), Ukraine. modern functional analysis, Linear Operators, Banach spaces. 1932 book, Theory of Linear Operations.
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Feb. 19, 1897 |
Karl Weierstrass Died, Berlin, Germany |
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1898-1962 |
Emil Artin. Born March 3, 1898 Vienna, Austria-Hungary, December 20, 1962 (aged 64) Hamburg, West Germany. From wikipedia “He is best known for his work on algebraic number theory, contributing largely to class field theory and a new construction of L-functions. He also contributed to the pure theories of rings, groups and fields.” |
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1903-1957 |
John von Neumann. Born: December 28, 1903, Budapest, Hungary Died: Feb. 8, 1957, Bethesda, USA. physics and computer science. |
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1906-1978 |
Kurt Gödel. Born: April 28, 1906, Austria-Hungary. Died: Jan. 14, 1978, Princeton, NJ. Incompleteness theorems. |
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1913-1996 |
Paul Erdos. Hungarian mathematician. Born: March 26, 1913, Budapest, Hungary. Died: Sep. 20, 1996, Warsaw, Poland. |
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1917-2010 |
Mary L. Boas. Born March 10, 1917 Washington. Died February 17, 2010 Seattle, Washington Most known for her book Mathematical Methods in the Physical Sciences
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1955 |
Albert Einstein. Died: April 18, 1955, Princeton Medical Center, NJ |
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