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.

Historical note

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 III

Further reading: MacTutor History of Mathematics ↗

1643–1727 Isaac Newton Calculus and mechanics

Newton developed foundational ideas in calculus and mathematical physics, describing motion and gravitation through mathematical laws.

Historical note

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 Equations

Further reading: MacTutor History of Mathematics ↗

1646–1716 G. W. Leibniz Calculus notation

Leibniz independently developed calculus and introduced influential notation, including the integral sign and differentials.

Historical note

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.

Calculus

Further reading: MacTutor History of Mathematics ↗

1655–1705 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.

Historical note

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 Equations

Further reading: MacTutor History of Mathematics ↗

1685–1731 Brook Taylor Taylor series

Taylor's work on series expansions became central to approximation and the analysis of numerical errors.

Historical note

Brook Taylor was also an accomplished musician and painter. His 1715 book on linear perspective used mathematics to explain vanishing points in drawings.

Numerical Computing

Further reading: MacTutor History of Mathematics ↗

1707–1783 Leonhard Euler Analysis and Euler's method

Euler made foundational contributions to analysis, mechanics, number theory, and the notation of modern mathematics.

Historical note

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 Computing

Further reading: MacTutor History of Mathematics ↗

1736–1813 Joseph-Louis Lagrange Interpolation and mechanics

Lagrange developed ideas in mathematical mechanics and made broad contributions to analysis, approximation, and differential equations.

Historical note

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 Computing

Further reading: MacTutor History of Mathematics ↗

1749–1827 Pierre-Simon Laplace Transforms and probability

Laplace advanced celestial mechanics and probability; the integral transform bearing his name is now central to differential equations.

Historical note

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 Equations

Further reading: MacTutor History of Mathematics ↗

1768–1830 Joseph Fourier Heat flow and series

Fourier studied heat conduction and the representation of functions by sums of trigonometric waves.

Historical note

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 Equations

Further reading: MacTutor History of Mathematics ↗

1776–1831 Sophie Germain Elasticity and number theory

Germain made significant contributions to elasticity and number theory despite substantial barriers to formal mathematics education.

Historical note

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 Equations

Further reading: MacTutor History of Mathematics ↗

1777–1855 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.

Historical note

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 Computing

Further reading: MacTutor History of Mathematics ↗

1789–1857 Augustin-Louis Cauchy Limits and rigorous analysis

Cauchy helped make calculus and analysis more systematic, with careful treatments of limits, series, and differential equations.

Historical note

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 Equations

Further reading: MacTutor History of Mathematics ↗

1793–1841 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.

Historical note

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 Equations

Further reading: MacTutor History of Mathematics ↗

1804–1851 Carl Gustav Jacobi Matrix iterations

Jacobi contributed extensively to analysis and mathematical physics; his name also appears in iterative linear-system solvers.

Historical note

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 Computing

Further reading: MacTutor History of Mathematics ↗

1815–1852 Ada Lovelace Algorithms and computing

Lovelace wrote influential notes about Charles Babbage's proposed Analytical Engine, including an algorithm for computing Bernoulli numbers.

Historical note

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 Computing

Further reading: MacTutor History of Mathematics ↗

1826–1866 Bernhard Riemann Integration and geometry

Riemann reshaped the foundations of integration and geometry, influencing calculus and later mathematical physics.

Historical note

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 III

Further reading: MacTutor History of Mathematics ↗

1850–1925 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.

Historical note

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 Equations

Further reading: MacTutor History of Mathematics ↗

1856–1927 Carl Runge Numerical differential equations

Runge developed numerical and graphical approaches to mathematics and helped shape methods for solving differential equations.

Historical note

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 Computing

Further reading: MacTutor History of Mathematics ↗

1856–1922 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.

Historical note

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 Computing

Further reading: MacTutor History of Mathematics ↗

1867–1944 Wilhelm Kutta Runge–Kutta methods

Kutta advanced numerical methods for ordinary differential equations; his name survives in Runge–Kutta schemes.

Historical note

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 Computing

Further reading: MacTutor History of Mathematics ↗

1882–1935 Emmy Noether Symmetry and conservation

Noether transformed modern algebra and uncovered a fundamental relationship between continuous symmetries and conservation laws.

Historical note

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 Equations

Further reading: MacTutor History of Mathematics ↗

1912–1954 Alan Turing The foundations of computation

Turing helped establish the theoretical foundations of computation and contributed to wartime codebreaking.

Historical note

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 Computing

Further reading: MacTutor History of Mathematics ↗

Historical 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.