Differential equations

13 lives in this collection worked in differential equations, from 1655 to today. Each has a full course on their life and the mathematics and physics they made.

Often together with: mathematical physics, celestial mechanics, complex analysis, differential geometry, probability theory, algebraic geometry, algebraic topology, analysis, calculus, calculus of variations. All fields

  • Jacob Bernoulli1655–1705

    Basel mathematician who helped develop Leibniz's calculus, introduced the Bernoulli numbers and proved the first law of large numbers in Ars Conjectandi.

    probability theory, calculus, infinite series

  • Johann Bernoulli1667–1748

    Basel mathematician who developed and taught Leibniz's calculus, posed the brachistochrone problem and taught Leonhard Euler.

    calculus, differential equations, calculus of variations

  • Alexis Clairaut1713–1765

    Leading French Newtonian who derived the figure of the Earth from hydrostatics, resolved the motion of the lunar apogee and predicted the 1759 return of Halley's comet.

    geodesy, celestial mechanics, differential geometry

  • Augustin-Louis Cauchy1789–1857

    Founder of rigorous analysis and complex function theory, and creator of the stress tensor and the theory of linear elasticity.

    analysis, complex analysis, differential equations

  • Joseph Liouville1809–1882

    French analyst who founded the Journal de Mathématiques Pures et Appliquées, published Galois's work, constructed the first transcendental numbers and gave his name to theorems on eigenvalue problems, phase-space volume, elementary integrals and conformal maps.

    analysis, differential equations, mathematical physics

  • George Boole1815–1864

    Self-taught English mathematician who created the algebra of logic now called Boolean algebra and pioneered operator methods in analysis.

    mathematical logic, algebra of logic, probability theory

  • Gaston Darboux1842–1917

    French geometer whose work on surfaces, orthogonal systems, integration and Pfaffian forms shaped classical differential geometry, and who led the Paris Faculty of Science and the Academy of Sciences.

    differential geometry, real analysis, differential equations

  • Sophus Lie1842–1899

    Founder of the theory of continuous transformation groups, now Lie groups and Lie algebras, developed to integrate differential equations by their symmetries.

    transformation groups, differential equations, geometry

  • Georg Frobenius1849–1917

    Berlin algebraist who created the character theory of finite groups and left his name on results across linear algebra, differential equations and number theory.

    group theory, representation theory, linear algebra

  • Henri Poincaré1854–1912

    Universal mathematician who created automorphic functions, the qualitative theory of dynamical systems and algebraic topology, discovered chaos in the three-body problem, and formulated the Lorentz group of relativity.

    complex analysis, differential equations, celestial mechanics

  • Émile Picard1856–1941

    French analyst known for the Picard theorems on entire functions, Picard iteration, Picard–Vessiot theory and the Picard group, and permanent secretary of the Académie des Sciences from 1917 to 1941.

    complex analysis, differential equations, algebraic geometry

  • Aleksandr Lyapunov1857–1918

    Founder of the modern theory of stability of motion, author of Lyapunov functions and exponents, and prover of the central limit theorem by characteristic functions.

    stability theory, differential equations, probability theory

  • Solomon Lefschetz1884–1972

    Engineer turned mathematician who brought topology into algebraic geometry, proved the Lefschetz fixed-point theorem, and founded an American school of nonlinear differential equations.

    algebraic geometry, algebraic topology, differential equations