Christoph Gudermann
| Christoph Gudermann | |
|---|---|
| Born |
March 25, 1798 Vienenburg, Holy Roman Empire |
| Died |
September 25, 1852 (aged 54) Münster, Westphalia, Germany |
| Residence | Germany |
| Nationality | German |
| Fields | Mathematician |
| Institutions | Münster Academy |
| Alma mater | University of Göttingen |
| Academic advisors | Carl Gauss |
| Notable students | Karl Weierstrass |
| Known for |
Gudermannian function Uniform convergence |
| Notable awards |
PhD (Hon): University of Berlin (1832) |
Christoph Gudermann (March 25, 1798 – September 25, 1852) was a German mathematician noted for introducing the Gudermannian function and the concept of uniform convergence, and for being the teacher of Karl Weierstrass, who was greatly influenced by Gudermann's course on elliptic functions in 1839–1840, the first such course to be taught in any institute.
Biography
Gudermann was born in Vienenburg. He was the son of a school teacher and became a teacher himself after studying at the University of Göttingen, where his academic advisor was Karl Friedrich Gauss. He began his teaching career in Kleve and then transferred to a school in Münster.
Gudermann introduced the concept of uniform convergence in an 1838 paper on elliptic functions, but only observed it informally, neither formalizing it nor using it in his proofs.[1] Instead, Weierstrass elaborated and applied uniform convergence.
His researches into spherical geometry and special functions focused on particular cases, so that he did not receive the credit given to those who published more general works. The Gudermannian function, or hyperbolic amplitude, is named after him.
Gudermann died in Münster.
References
External links
- Christoph Gudermann at the Mathematics Genealogy Project
- O'Connor, John J.; Robertson, Edmund F., "Christoph Gudermann", MacTutor History of Mathematics archive, University of St Andrews.