*This list is highly incomplete. Please help expand it.*

Many things are named after the 19th-century French mathematician Augustin-Louis Cauchy:

- Binet–Cauchy identity
- Bolzano–Cauchy theorem
- Cauchy's argument principle
- Cauchy–Binet formula
- Cauchy–Born rule
- Cauchy boundary condition
- Cauchy bounds
- Cauchy completeness
- Cauchy completion
- Cauchy condensation test
- Cauchy-continuous function
- Cauchy's convergence test
- Cauchy (crater)
- Cauchy–Davenport theorem
- Cauchy determinant
- Cauchy distribution
- Cauchy elastic material
- Cauchy's equation
- Cauchy–Euler equation
- Cauchy's functional equation
- Cauchy filter
- Cauchy formula for repeated integration
- Cauchy–Frobenius lemma
- Cauchy–Green deformation tensor
- Cauchy–Hadamard theorem
- Cauchy horizon
- Cauchy identity
- Cauchy index
- Cauchy inequality
- Cauchy's integral formula
- Cauchy's integral theorem
- Cauchy interlacing theorem
- Cauchy–Kovalevskaya theorem
- Cauchy–Kowalevski theorem
- Cauchy–Lipschitz theorem
- Cauchy matrix
- Cauchy momentum equation
- Cauchy net
- Cauchy number
- Cauchy–Peano theorem
- Cauchy point
- Cauchy principal value
- Cauchy problem
- Cauchy process
- Cauchy product
- Cauchy's radical test
- Cauchy–Rassias stability
- Cauchy ratio test
- Cauchy–Riemann equations
- Cauchy–Riemann manifold
- Cauchy's Residue Theorem
- Cauchy–Schlömilch transformation
- Cauchy–Schwarz inequality
- Cauchy sequence
- Cauchy space
- Cauchy surface
- Cauchy's mean value theorem
- Cauchy stress tensor
- Cauchy's theorem (geometry)
- Cauchy's theorem (group theory)
- Cauchy's two-line notation
- Euler–Cauchy stress principle
- Maclaurin–Cauchy test