Mathematics in Berlin pp 71-82 | Cite as

# Weierstrass and some members of his circle: Kovalevskaia, Fuchs, Schwarz, Schottky

## Abstract

Karl Weierstrass (1815-1897) belongs to the outstanding mathematicians who have worked in Berlin. After 13 years as a *Gymnasium* teacher at remote locations in Prussia far away from the centers of mathematical research, Weierstrass came to Berlin in 1856 at the age of 41 (as professor extraordinarius; he was promoted to Ordinarius in 1864). This advancement in his career came after he solved one of the era’s challenging problems: the Jacobi inversion problem for hyperelliptic integrals, first formulated in 1832. Weierstrass published a preliminary version of his solution in 1854 in *Crelle’s Journal*,and his results served as the starting point for the emergence of the theory of Abelian functions. Weierstrass’s paper created a sensation, and from one day to the next his name became well known in mathematical circles. The aged A. von Humboldt (1769-1859) along with E. E. Kummer (1810-1893) emphatically supported his appointment, and in the years that followed he became one of the leading mathematicians of his time. Together with his colleagues Kummer and L. Kronecker (1823-1891), Weierstrass ensured Berlin’s reputation as a world-class mathematical center in the second half of the 19th century.

## Preview

Unable to display preview. Download preview PDF.

## Selected references

- [1]Biermann, K.-R., Die Mathematik und ihre Dozenten an der Berliner Universität 1810-1933, Akademie Verlag, Berlin, 1988.zbMATHGoogle Scholar
- [2]Böiling, R., Briefwechsel zwischen Karl Weierstrass und Sofja Kowalewskaja, Herausgegeben, eingeleitet und kommentiert von R. Böiling, Akademie Verlag, Berlin, 1993.Google Scholar
- [3]Böiling, R., Karl Weierstrass — Stationen eines Lebens, Jber. dt. Math.-Verein.
**96**(1994), 56–75.Google Scholar - [4]Cooke, R., The Mathematics of Sonya Kovalevskaya, Springer-Verlag, New York, 1984.CrossRefGoogle Scholar
- [5]Gray, J., Linear differential equations and group theory from Riemann to Poincaré, Birkhäuser, Boston, Basel, Stuttgart, 1986.zbMATHGoogle Scholar
- [6]Hibner Koblitz, A., A convergence of lives, Sofia Kovalevskaia: scientist, writer, revolutionary, Birkhäuser, Boston, Basel, Stuttgart, 1983.zbMATHGoogle Scholar
- [7]Kolmogorov, A.N., Yushkevich, A.P. (eds.), Mathematics of the 19th century, Geometry, Analytic function theory, Engl, trans. R. Cooke, Birkhäuser, Basel, Boston, Berlin, 1996.Google Scholar