# Cauchy, Augustin Louis

## Related Articles

- Cauchy condensation test (19th century) Mathematics. // Dictionary of Theories;2002, p80
Definition of the term "Cauchy condensation test," is presented. It is a test for the convergence of an infinite series and is named after French mathematician and physicist Baron Augustin Louis Cauchy.

- Cauchy-Kowalewska theorem (c. 1850) Mathematics. // Dictionary of Theories;2002, p80
Information on the Cauchy-Kowalewska theorem is presented. It was named after mathematicians Baron Augustin Louis Cauchy and Sonja Kowalewska. Cauchy proved a version for one equation and Kowalewska proved the general result by a different method.

- Cauchy mean value theorem (19th century) Mathematics. // Dictionary of Theories;2002, p81
Information on the Cauchy mean value theorem is presented. This theorem, which is also known as the generalized mean value theorem, is named after French mathematician and physicist Baron Augustin Louis Cauchy.

- root test Mathematics. // Dictionary of Theories;2002, p469
A definition of the term "root test" is presented. It is a theory in Mathematics attributed to French mathematician and physicist Baron Augustin Louis Cauchy. It refers to a test for convergence of an infinite series.

- Cauchy-Hadamard theorem (1821) Mathematics. // Dictionary of Theories;2002, p80
Definition of the term "Cauchy-Hadamard theorem," is presented. The term was named after French mathematicians Baron Augustin Louis Cauchy and Jacques Hadamard. Cauchy stated this theorem in his lectures, while Hadamard made the formulation and proof explicit.

- Augustin-Louis Cauchy. Bailey, Ellen // Augustin-Louis Cauchy;8/1/2017, p1
Background information on French mathematician Augustin-Louis Cauchy is presented. He was the first to provide satisfactory definitions of the concepts of limit and convergence, and he also refined the theory of complex variables and pioneered the theory of permutation groups. His work...

- The Philmath's Alphabet--C. Wilson, Robin // Mathematical Intelligencer;Winter2004, Vol. 26 Issue 1, p72
Focuses on the life and works of several mathematicians. Contribution of Constantin CarathÃ©odory to calculus; Transformation of the whole area of real analysis by Augustin-Louis Cauchy; Clarification of the foundations of probability theory by Marquis de Condorcet.

- ratio test (19th century) Mathematics. // Dictionary of Theories;2002, p447
A definition of the term "ratio test" is presented. It refers to a theory in mathematics. The theory has been attributed to French mathematician and physicist Baron Augustin Louis Cauchy. It refers to the test for convergence of an infinite series.

- Cauchy criterion (19th century) Mathematics. // Dictionary of Theories;2002, p80
Definition of the term "Cauchy criterion," is presented. The concept is named after French mathematician and physicist Baron Augustin Louis Cauchy. Under this criterion, the required and sufficient condition for an infinite sequence of numbers to converge is that the absolute value of the...

- Cauchy integral theorem (19th century) Mathematics. // Dictionary of Theories;2002, p80
Definition of the term "Cauchy integral theorem," is presented. The theorem is the result of fundamental importance in complex function theory and was named after French mathematician Baron Augustin Louis Cauchy. Under this theorem, the complex line integral of an analytic function around a...