18th-Century Mathematician Rankings
A curated ranking of the 50 most influential mathematicians of the 18th century, chronicling the maturation of calculus, variational mechanics, and probability theory.
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Leonhard Euler (1707β1783) β Graph theory, infinitesimal analysis, and unifying modern mathematical notationβ
Joseph-Louis Lagrange (1736β1813) β Analytical mechanics, calculus of variations, and polynomial root theoryβ
Pierre-Simon Laplace (1749β1827) β Celestial mechanics, Bayesian probability, and the Laplace transformβ
Daniel Bernoulli (1700β1782) β Hydrodynamics, kinetic theory of gases, and expected utility theoryβ
Jean le Rond d'Alembert (1717β1783) β D'Alembert's principle, the wave equation, and fundamental theorem of algebra proofsβ
Adrien-Marie Legendre (1752β1833) β Legendre polynomials, quadratic reciprocity conjectures, and elliptic integralsβ
Gaspard Monge (1746β1818) β Descriptive geometry, differential geometry of surfaces, and Monge-AmpΓ¨re equationsβ
Johann Heinrich Lambert (1728β1777) β Proving pi is irrational, hyperbolic trigonometry, and map projectionsβ
Abraham de Moivre (1667β1754) β De Moivre's formula connecting trigonometry to complex analysis, and normal approximationβ
Thomas Bayes (c. 1701β1761) β Formulating Bayes' theorem establishing the foundations of statistical inferenceβ
Colin Maclaurin (1698β1746) β Maclaurin series expansion, Euler-Maclaurin formula, and defending Newtonian calculusβ
Brook Taylor (1685β1731) β Taylor's theorem, Taylor series expansions, and early finite difference calculusβ
Christian Goldbach (1690β1764) β Goldbach's conjecture on primes and foundational correspondence on analysisβ
Gabriel Cramer (1704β1752) β Cramer's rule for linear systems and algebraic curve singularity classificationβ
Alexis Clairaut (1713β1765) β Clairaut's theorem on geodesics, singular solutions of ODEs, and earth's geoid shapeβ
Γmilie du ChΓ’telet (1706β1749) β Translation, synthesis, and commentary on Newton's Principia establishing kinetic energy conservationβ
Maria Gaetana Agnesi (1718β1799) β First systematic calculus treatise integrating differential and integral calculusβ
Thomas Simpson (1710β1761) β Simpson's rule for numerical quadrature and treatises on fluxions and probabilityβ
Edward Waring (1736β1798) β Waring's problem in additive number theory and polynomial root boundsβ
Johann Bernoulli (1667β1748) β Solution to the brachistochrone problem and popularizing infinitesimal analysis across Europeβ
Nicolaus I Bernoulli (1687β1759) β Formulating the St. Petersburg paradox and early probability limit theoremsβ
Nicolaus II Bernoulli (1695β1726) β Curves, trajectory differential equations, and early fluid mechanicsβ
Johann II Bernoulli (1710β1790) β Research on heat propagation, mechanics, and physical mathematicsβ
Jacopo Riccati (1676β1754) β The Riccati differential equation and pioneering non-linear ODE techniquesβ
Vincenzo Riccati (1707β1775) β Introducing hyperbolic functions and investigating their differential equationsβ
Γtienne BΓ©zout (1730β1783) β BΓ©zout's theorem on intersections of algebraic plane curves and resultant determinantsβ
Alexandre-ThΓ©ophile Vandermonde (1735β1796) β Systematic determinant theory and foundational ideas in topological knot theoryβ
Paolo Ruffini (1765β1822) β Ruffini's rule and the earliest incomplete proof of the unsolvability of the quinticβ
Lazare Carnot (1753β1823) β Projective geometry foundations, geometric cross-ratios, and mechanicsβ
Gian Francesco Malfatti (1731β1807) β Malfatti circles problem and resolving algebraic quintic equationsβ
Jean-Γtienne Montucla (1725β1799) β Authoring the first definitive, comprehensive history of mathematical sciencesβ
Charles Bossut (1730β1814) β Influential encyclopedic textbooks in rational mechanics and hydrodynamicsβ
Sylvestre FranΓ§ois Lacroix (1765β1843) β Standardizing modern calculus curricula with comprehensive multi-volume textbooksβ
Roger Cotes (1682β1716) β Newton-Cotes quadrature formulas and early logarithmic relations to trigonometryβ
John Landen (1719β1790) β Landen's transformation in elliptic integrals and residual analysisβ
Jurij Vega (1754β1802) β High-precision logarithmic tables standardizing ballistics and engineering calculationsβ
Benjamin Banneker (1731β1806) β Self-taught astronomer calculating complex planetary ephemerides and eclipse cyclesβ
John Playfair (1748β1819) β Playfair's axiom reformulating Euclid's parallel postulate and geological physicsβ
Matthew Stewart (1717β1785) β Stewart's theorem regarding triangle cevian lengths and planetary distance geometriesβ
Charles Hutton (1737β1823) β Calculation of the Earth's mean density in the Schiehallion experiment and mathematical tractsβ
Franz Aepinus (1724β1802) β Mathematical formalization of the action-at-a-distance theory for electrostatics and magnetismβ
William Emerson (1701β1782) β Treatises systematizing fluxions, mechanics, and Newtonian navigation mathβ
Giovanni Salvemini / Castillon (1708β1791) β Castillon's problem in geometry and algebraic analysis of conic sectionsβ
Patrick d'Arcy (1725β1779) β Formulating variational principles in dynamics and early angular momentum conservationβ
Antoine Deparcieux (1703β1768) β Actuarial mathematics, life tables, and empirical mortality curvesβ
Charles-RenΓ© Reyneau (1656β1728) β Authoring Analyse DΓ©montrΓ©e to synthesize Cartesian algebra with differential calculusβ
Pierre Bouguer (1698β1758) β Heliometer invention, optical photometry attenuation law, and naval geometryβ
Abraham Gotthelf KΓ€stner (1719β1800) β Influential geometric textbooks and critical early inquiries into non-Euclidean parallel axiomsβ
Pierre Varignon (1654β1722) β Varignon's theorem on vector polygons and formalizing Newtonian force balance via calculusβ
Carl Friedrich Gauss (1777β1855) β Construction of the regular 17-gon (1796) and fundamental theorem of algebra proof (1799)β