Linked from

The 39 pages that link to Joseph-Louis Lagrange, each with the reason it gives.

• Leonhard EulerRelated: Lagrange extended and systematized ideas in analysis and mechanics that Euler had developed.

• Numerical analysisRelated: Lagrange interpolation became a foundational tool for constructing numerical approximations.

• Classical mechanicsRelated: His 1788 treatise gave mechanics its energy-based Lagrangian formulation.

• Hamiltonian mechanicsRelated: Lagrange’s mechanics supplied the framework from which Hamiltonian mechanics developed.

• Pierre-Simon LaplaceRelated: Lagrange and Laplace were leading contemporaries in mathematical astronomy.

• Augustin-Louis CauchyRelated: Lagrange’s influence on French mathematics formed part of Cauchy’s intellectual inheritance.

• Group theoryRelated: His studies of permutations helped establish the subject's early foundations.

• Wave equationRelated: His work on vibrating strings helped establish a systematic continuum treatment.

• Calculus of variationsRelated: His multiplier method extends variational optimization to equality constraints.

• Quadratic formRelated: His four-square theorem established a landmark result about integers represented by quadratic forms.

• Adrien-Marie LegendreRelated: Lagrange and Legendre belonged to the generation that reshaped French mathematics.

• Three-body problemRelated: He found important special solutions, including configurations now associated with Lagrange points.

• Évariste GaloisRelated: His analysis of root permutations anticipated a central idea in Galois's approach.

• Lagrange pointRelated: He derived the triangular equilibrium solutions now associated with Lagrange points.

• Principle of least actionRelated: His 1788 mechanics unified motion equations through the action-based formalism.

• Diophantine approximationRelated: His work proved key properties of continued fractions for quadratic irrationals.

• Potential theoryRelated: He developed early mathematical formulations of gravitational potential.

• Additive number theoryRelated: His four-square theorem resolved a central question about sums of powers.

• D'Alembert's principleRelated: His reformulation made the principle central to general equations of motion.

• Hamilton's principleRelated: His analytical mechanics made the action-based formulation systematic.

• Lagrange's four-square theoremRelated: He proved the four-square theorem in 1770.

• Sophie GermainRelated: He became Germain’s mentor after she submitted mathematical work under the name Monsieur Le Blanc.

• Symplectic geometryRelated: His variational mechanics helped establish the mathematical setting later expressed geometrically.

• Classical field theoryRelated: Variational methods associated with his work underpin modern field formulations.

• Gaspard MongeRelated: Lagrange was Monge’s contemporary and a fellow leading mathematician in revolutionary France.

• Siméon Denis PoissonRelated: Lagrange’s mechanics formed part of the mathematical tradition Poisson extended.

• Waring's problemRelated: His theorem confirmed Waring's conjecture in the important square case.

• Analytical mechanicsRelated: His 1788 treatise systematized mechanics through generalized coordinates and kinetic energy.

• Claude-Louis NavierRelated: Lagrange’s mathematical mechanics formed part of the intellectual tradition Navier extended.

• Wilson's theoremRelated: Lagrange published the first known proof of Wilson's theorem in 1771.

• Legendre's formulaRelated: His work helped establish the number-theoretic setting in which Legendre developed the formula.

• Sum of two squares theoremRelated: Lagrange’s work on quadratic forms placed sums of squares in a broader classification.

• Lagrange inversion theoremRelated: His work established the inversion result now bearing his name.

• Co-orbital configurationRelated: His analysis identified the equilibrium points that explain where some co-orbitals can remain.

• Virtual workRelated: He systematized mechanics using generalized coordinates and virtual work.

• Brook TaylorRelated: Lagrange supplied a prominent remainder formula for Taylor’s theorem.

• History of classical mechanicsRelated: His 1788 treatise recast mechanics in a form that did not depend directly on force vectors.

• Theoretical mechanicsRelated: His Mécanique analytique organized mechanics around generalized coordinates and variational methods.

• Casas-Alvero conjectureRelated: Lagrange posed an early form of the problem concerning shared roots with derivatives.