Mathematician:Augustin Louis Cauchy


 * French Engineer and mathematician, from a suburb of Paris, which at the time was home to many leading mathematicians.
 * Wrote seven books and more than 700 papers in various fields of mathematics.
 * Made contributions in theory of determinants, eigenvalues, ordinary and partial differential equations, permutation groups, and the foundation of calculus.
 * Famous for founding the theory of functions of a complex variable.

Nationality
French

History

 * Born: 21 August 1789
 * Died: 23 May 1857


 * Cauchy was a devout Roman Catholic, also strongly devoted to the Bourbon kings who ruled France after Napoleon's defeat. When Charles X was exiled in 1830, Cauchy willingly followed the former king into exile in Prague.

Theorems and Definitions

 * Binet-Cauchy Identity
 * Cauchy Argument Principle
 * Cauchy-Binet Formula
 * Cauchy Boundary Condition
 * Cauchy's Convergence Test
 * Cauchy Criterion
 * Cauchy Determinant
 * Cauchy Distribution
 * Cauchy's Equation
 * Cauchy Equivalent
 * Cauchy-Euler Equation
 * Cauchy Functional Equation
 * Cauchy's Group Theorem
 * Cauchy Horizon
 * Cauchy Integral Theorem
 * Cauchy's Integral Formula
 * Cauchy Formula for Repeated Integration
 * Cauchy-Frobenius Lemma
 * Cauchy-Hadamard Theorem
 * Cauchy-Kovalevskaya Existence Theorem
 * Cauchy Momentum Equation
 * Cauchy-Peano Theorem
 * Cauchy Principal Value
 * Cauchy Problem
 * Cauchy Product
 * Cauchy's Radical Test
 * Cauchy-Riemann Equations
 * Cauchy-Schwarz Inequality
 * Cauchy Sequence
 * Cauchy Surface
 * Cauchy's Theorem (Geometry)
 * Maclaurin-Cauchy Test
 * Cauchy's Mean Value Theorem


 * An elegant proof of what is now called the Nyquist Stability Criterion.

Books and Papers

 * 1821: Cours d'analyse (Course in Analysis)
 * 1826: Sur un nouveau genre de calcul analogue au calcul infinitésimal
 * 1829: Leçons sur le Calcul Différentiel
 * 1840-47: Exercices d'analyse et de physique mathématique