Calculus of variations

9 lives in this collection worked in calculus of variations, from 1655 to today. Each has a full course on their life and the mathematics and physics they made.

Often together with: number theory, analysis, calculus, celestial mechanics, differential equations, mathematical physics, mechanics, partial differential equations. 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

  • Leonhard Euler1707–1783

    The most prolific mathematician in history, who shaped modern analysis and notation, founded graph theory, and wrote the equations of rigid bodies and ideal fluids.

    analysis, number theory, graph theory

  • Joseph-Louis Lagrange1736–1813

    Founder of analytical mechanics and the calculus of variations, discoverer of the Lagrange points, and author of the four-square theorem and the resolvent method that led to group theory.

    calculus of variations, analytical mechanics, celestial mechanics

  • Adrien-Marie Legendre1752–1833

    French analyst who introduced Legendre polynomials, the Legendre transformation and symbol, stated quadratic reciprocity, first published least squares, and founded the theory of elliptic integrals.

    number theory, elliptic integrals, calculus of variations

  • Carl Gustav Jacob Jacobi1804–1851

    Prussian mathematician who founded the theory of elliptic and theta functions with Abel, created Hamilton–Jacobi mechanics, and introduced the Jacobian, the Jacobi identity and the Jacobi symbol.

    elliptic functions, analytical mechanics, number theory

  • Karl Weierstrass1815–1897

    Founder of rigorous modern analysis, who introduced the epsilon-delta style, uniform convergence and power-series foundations of complex function theory.

    real analysis, complex analysis, elliptic and abelian functions

  • David Hilbert1862–1943

    Leader of Göttingen mathematics whose basis theorem, Zahlbericht, axioms of geometry, Hilbert space, Paris problems and proof theory shaped twentieth-century mathematics.

    invariant theory, algebraic number theory, foundations of geometry

  • Richard Courant1888–1972

    Analyst of variational and eigenvalue problems, co-author of the CFL condition, and founder of the mathematical institutes at Göttingen and New York University.

    analysis, partial differential equations, calculus of variations