9 lives in this collection worked in potential theory, from 1749 to today. Each has a full course on their life and the mathematics and physics they made.
Often together with: mathematical physics, probability theory, celestial mechanics, number theory, real analysis. All fields
Author of the Mécanique céleste, who established the stability of the solar system to first order, founded potential theory and made probability a science of inference.
celestial mechanics, potential theory, probability theory
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
Leading French mathematical physicist after Laplace, known for Poisson's equation, the Poisson bracket, the Poisson kernel and summation formula, and the Poisson distribution.
mathematical physics, celestial mechanics, potential theory
Self-taught Nottingham miller who introduced the potential function, Green's theorem and Green's functions in his 1828 Essay.
potential theory, mathematical physics, electrostatics
Founder of analytic number theory, who proved the theorem on primes in arithmetic progressions and gave the first rigorous convergence theorem for Fourier series.
number theory, analysis, fourier series
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
Creator of Lebesgue measure and the Lebesgue integral, the foundation of modern analysis and probability.
real analysis, measure theory, fourier analysis
Hungarian analyst, a founder of functional analysis, known for the Riesz–Fischer and Riesz representation theorems, the L^p spaces, the theory of compact operators and subharmonic functions.
functional analysis, operator theory, real analysis
American mathematician who constructed Brownian motion rigorously, created generalized harmonic analysis and the general Tauberian theorem, developed optimal filtering and founded cybernetics.
harmonic analysis, probability theory, potential theory