Skip to main content

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

  • Chapter

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.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • DOI: 10.1007/978-3-0348-8787-8_9
  • Chapter length: 12 pages
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
eBook
USD   44.99
Price excludes VAT (USA)
  • ISBN: 978-3-0348-8787-8
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD   59.99
Price excludes VAT (USA)

Preview

Unable to display preview. Download preview PDF.

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.

    MATH  Google 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.

    CrossRef  Google Scholar 

  5. Gray, J., Linear differential equations and group theory from Riemann to Poincaré, Birkhäuser, Boston, Basel, Stuttgart, 1986.

    MATH  Google Scholar 

  6. Hibner Koblitz, A., A convergence of lives, Sofia Kovalevskaia: scientist, writer, revolutionary, Birkhäuser, Boston, Basel, Stuttgart, 1983.

    MATH  Google 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 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1998 Springer Basel AG

About this chapter

Cite this chapter

Bölling, R. (1998). Weierstrass and some members of his circle: Kovalevskaia, Fuchs, Schwarz, Schottky. In: Begehr, H., Koch, H., Kramer, J., Schappacher, N., Thiele, EJ. (eds) Mathematics in Berlin. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8787-8_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-8787-8_9

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-5943-0

  • Online ISBN: 978-3-0348-8787-8

  • eBook Packages: Springer Book Archive