Linked from

The 42 pages that link to Augustin-Louis Cauchy, each with the reason it gives.

• Group theoryRelated: His theorems helped turn permutation calculations into systematic group theory.

• Cauchy sequenceRelated: The sequence condition bears his name and reflects his influence on analysis.

• Cauchy–Schwarz inequalityRelated: Cauchy established an early form of the inequality for finite sums.

• Analytic continuationRelated: His integral theorem underlies the local structure of holomorphic functions being continued.

• GroupRelated: Cauchy’s work helped establish finite group theory as a mathematical subject.

• Real analysisRelated: His textbooks helped make limit-based analysis a disciplined subject.

• Cauchy's integral formulaRelated: Cauchy developed the integral methods and theorems associated with this formula.

• École polytechniqueRelated: Cauchy taught at École polytechnique and helped establish its mathematical reputation.

• Intermediate value theoremRelated: His work on continuity and limits helped make the theorem part of systematic analysis.

• Évariste GaloisRelated: Cauchy assessed Galois's submitted work, which was not published in Galois's lifetime.

• Niels Henrik AbelRelated: Cauchy’s rigorous analytic methods formed part of the mathematical environment in which Abel worked.

• Karl WeierstrassRelated: Cauchy's work on limits and complex functions preceded and informed the mathematical tradition Weierstrass strengthened.

• Ratio testRelated: Cauchy developed a closely related root criterion for series convergence.

• Cauchy–Riemann equationsRelated: His work on complex functions helped establish conditions associated with complex differentiability.

• Liouville's theoremRelated: Cauchy's integral methods provide the standard proof mechanism.

• Elliptic functionRelated: Complex integration supplied tools for proving fundamental constraints on elliptic functions.

• Camille JordanRelated: Cauchy’s work on permutations helped shape the algebraic tradition Jordan extended.

• Carl Gustav Jacob JacobiRelated: Cauchy’s work formed part of the analytic setting in which Jacobi’s function theory developed.

• Cauchy's integral theoremRelated: Cauchy formulated the integral theorem as part of his development of complex analysis.

• Burnside's lemmaRelated: A related orbit-counting formula is often associated with Cauchy alongside Burnside.

• History of calculusRelated: His limit-based definitions disciplined arguments inherited from early calculus.

• Mellin transformRelated: Contour integration from Cauchy’s theory underlies Mellin inversion formulas.

• Rolle's theoremRelated: Cauchy's analysis helped place Rolle's result within a rigorous theory of continuous and differentiable functions.

• Generalized Stokes theoremRelated: Cauchy’s integral theorem is an early influential instance of integration constrained by boundary structure.

• AM–GM inequalityRelated: His induction proof became a classic route from two terms to many.

• Jacobi triple productRelated: Cauchy’s product identity is a standard route to proving the triple product.

• Claude-Louis NavierRelated: Cauchy developed the general stress framework that later clarified Navier’s continuum equations.

• Cauchy–Hadamard theoremRelated: His name is attached to the theorem and to foundational convergence methods.

• Riemann series theoremRelated: His convergence framework clarifies why absolute convergence behaves differently under rearrangement.

• Sylvester's law of inertiaRelated: Cauchy's matrix methods formed part of the mathematical setting in which inertia was studied.

• Lagrange inversion theoremRelated: His residue methods provide a standard proof of the inversion formula.

• Abel's testRelated: Cauchy's convergence framework provides the tail criterion used in proofs of series tests.

• Cauchy–Binet formulaRelated: His name is attached to the identity and its early determinant formulations.

• Cauchy–Davenport theoremRelated: His early form of the sumset bound is one source of the theorem's name.

• Cauchy–Kovalevskaya theoremRelated: The theorem bears Cauchy's name for his role in its early development.

• Crofton formulaRelated: Cauchy established an early intersection-based relation between convex-curve length and averaged line crossings.

• Morera's theoremRelated: Cauchy's integral theorem provides the converse direction central to Morera's criterion.

• Cauchy's formula for repeated integrationRelated: The formula carries Cauchy's name and reflects his work on integral calculus.

• Integral test for convergenceRelated: His program of rigor made precise the convergence questions addressed by series tests.

• Lévy–Steinitz theoremRelated: His convergence criteria form part of the analytical background to series rearrangement.

• Series expansionRelated: His rigor helped distinguish valid series manipulations from formal algebra.