Mathematicians Through Time
Mathematical ideas have histories, and the names attached to theorems and algorithms belonged to real people. This growing timeline collects some of the mathematicians whose work appears in calculus, differential equations, and numerical computing.
← Scroll to explore → · The positions mark birth years; dates below show full lifespans.
People and ideas
1596–1650 René Descartes Analytic geometry
Descartes helped establish analytic geometry, connecting geometric problems with algebra and coordinates.
Descartes published La Géométrie in 1637 as one of three appendices to his Discourse on Method. The work helped connect algebraic equations with geometric curves.
Calculus III1643–1727 Isaac Newton Calculus and mechanics
Newton developed foundational ideas in calculus and mathematical physics, describing motion and gravitation through mathematical laws.
Newton was born on Christmas Day in 1642 according to the calendar then used in England. On the modern Gregorian calendar, his birthday is January 4, 1643.
Calculus · Differential Equations1646–1716 G. W. Leibniz Calculus notation
Leibniz independently developed calculus and introduced influential notation, including the integral sign and differentials.
Leibniz designed an early mechanical calculator in the 1670s, intended to perform multiplication and division as well as addition and subtraction—centuries before electronic computers.
Calculus1655–1705 Jacob Bernoulli Differential equations and probability
Jacob Bernoulli contributed to early calculus, differential equations, and probability; several members of his family made major mathematical discoveries.
Jacob Bernoulli's major probability book, Ars Conjectandi, appeared in 1713, eight years after his death. It included a foundational version of the law of large numbers.
Differential Equations1685–1731 Brook Taylor Taylor series
Taylor's work on series expansions became central to approximation and the analysis of numerical errors.
Brook Taylor was also an accomplished musician and painter. His 1715 book on linear perspective used mathematics to explain vanishing points in drawings.
Numerical Computing1707–1783 Leonhard Euler Analysis and Euler's method
Euler made foundational contributions to analysis, mechanics, number theory, and the notation of modern mathematics.
Euler continued producing remarkable amounts of mathematics after becoming almost completely blind. Nearly half of his published work came after his return to St Petersburg in 1766.
Differential Equations · Numerical Computing1736–1813 Joseph-Louis Lagrange Interpolation and mechanics
Lagrange developed ideas in mathematical mechanics and made broad contributions to analysis, approximation, and differential equations.
Lagrange originally expected to pursue law and found classical geometry unappealing. Reading Edmund Halley's work on algebra and optics helped spark his interest in mathematics.
Numerical Computing1749–1827 Pierre-Simon Laplace Transforms and probability
Laplace advanced celestial mechanics and probability; the integral transform bearing his name is now central to differential equations.
Napoleon appointed Laplace minister of the interior in 1799 but dismissed him after only six weeks. Napoleon later joked that Laplace had brought infinitesimal thinking into government.
Differential Equations1768–1830 Joseph Fourier Heat flow and series
Fourier studied heat conduction and the representation of functions by sums of trigonometric waves.
Before developing his theory of heat conduction, Fourier joined Napoleon's 1798 expedition to Egypt as a scientific adviser and helped establish a scientific institute in Cairo.
Differential Equations1776–1831 Sophie Germain Elasticity and number theory
Germain made significant contributions to elasticity and number theory despite substantial barriers to formal mathematics education.
Sophie Germain wrote to Gauss under the male pseudonym M. LeBlanc. Her identity came to light after she tried to protect him during the French occupation of his hometown.
Differential Equations1777–1855 Carl Friedrich Gauss Quadrature and least squares
Gauss worked across number theory, astronomy, statistics, and computational mathematics; Gaussian quadrature and least squares remain fundamental tools.
In 1801, Gauss used limited observations to predict where astronomers could find Ceres after it disappeared behind the Sun. His calculation helped recover the newly discovered object.
Numerical Computing1789–1857 Augustin-Louis Cauchy Limits and rigorous analysis
Cauchy helped make calculus and analysis more systematic, with careful treatments of limits, series, and differential equations.
As a child, Cauchy encountered Laplace and Lagrange, who visited his family's home. Lagrange reportedly encouraged his father to emphasize language studies before advanced mathematics.
Calculus · Differential Equations1793–1841 George Green Green's theorem and potential theory
Green was a largely self-taught English mathematician whose work introduced Green's theorem and Green's functions, now central to vector calculus and the mathematical study of partial differential equations.
While working in his family's flour mill in Nottingham, Green taught himself advanced mathematics. His groundbreaking 1828 essay on electricity and magnetism was privately published with just 51 subscribers.
Calculus III · Differential Equations1804–1851 Carl Gustav Jacobi Matrix iterations
Jacobi contributed extensively to analysis and mathematical physics; his name also appears in iterative linear-system solvers.
Jacobi advanced so quickly in school that he was academically ready for university at age twelve. Berlin's university would not admit students younger than sixteen.
Numerical Computing1815–1852 Ada Lovelace Algorithms and computing
Lovelace wrote influential notes about Charles Babbage's proposed Analytical Engine, including an algorithm for computing Bernoulli numbers.
Ada Lovelace was the daughter of the poet Lord Byron, whom she never came to know. Her mother encouraged her study of mathematics, and she later wrote influential notes on Babbage's Analytical Engine.
Numerical Computing1826–1866 Bernhard Riemann Integration and geometry
Riemann reshaped the foundations of integration and geometry, influencing calculus and later mathematical physics.
According to a well-known biographical account, Riemann read a 900-page book on number theory by Legendre in just six days while he was still a schoolboy.
Calculus III1850–1925 Oliver Heaviside Step functions and operational calculus
Heaviside developed operational calculus for analyzing electrical circuits, advanced vector analysis and electromagnetism, and gave his name to the Heaviside step function.
Heaviside left school at sixteen and worked as a telegraph operator. Fascinated by Maxwell's theory, he later left his job to study it full-time and helped reformulate Maxwell's original system into the four vector equations familiar today.
Differential Equations1856–1927 Carl Runge Numerical differential equations
Runge developed numerical and graphical approaches to mathematics and helped shape methods for solving differential equations.
Runge spent his early childhood in Havana and grew up speaking English at home. At university he became a close friend of Max Planck, the future pioneer of quantum theory.
Numerical Computing1856–1922 Andrey Markov Markov chains and probability inequalities
Markov pioneered the study of sequences of dependent random variables, now known as Markov chains. Markov's inequality also gives an upper bound on the probability of a large value using only a nonnegative random variable's expected value.
In 1913, Markov analyzed 20,000 letters from Pushkin's Eugene Onegin, recording how often vowels and consonants followed one another. It became a famous early demonstration of Markov chains.
Numerical Computing1867–1944 Wilhelm Kutta Runge–Kutta methods
Kutta advanced numerical methods for ordinary differential equations; his name survives in Runge–Kutta schemes.
Kutta developed an influential numerical method for differential equations in his 1900 doctoral thesis. He later studied aerodynamics, including the mathematical description of lift on aircraft wings.
Numerical Computing1882–1935 Emmy Noether Symmetry and conservation
Noether transformed modern algebra and uncovered a fundamental relationship between continuous symmetries and conservation laws.
Before Emmy Noether received permission to teach officially at Göttingen in 1919, David Hilbert advertised some of her mathematics courses under his own name.
Differential Equations1912–1954 Alan Turing The foundations of computation
Turing helped establish the theoretical foundations of computation and contributed to wartime codebreaking.
During Britain's 1926 General Strike, fourteen-year-old Alan Turing reportedly cycled about sixty miles to get to school when normal transport was disrupted.
Numerical ComputingHistorical contributions are often shared across many people and eras; the historical notes are starting points for classroom stories, not claims of sole invention. For deeper biographical background, see the linked MacTutor History of Mathematics Archive. The interactive Mathigon Timeline of Mathematics also inspired this page.
