Education
University of Göttingen.
University of Göttingen.
Gudermann was born in Vienenburg. 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.
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 cr given to those who published more general works. The Gudermannian function, or hyperbolic amplitude, is named after him.
Gudermann died in Münster.