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Pringsheim (print-only) (1039 words) |
 | Pringsheim criticised attempts by du Bois-Reymond to establish ideal boundaries between convergence and divergence. |
| However Pringsheim was the first to note in 1898 that Lambert's proof was absolutely correct and exceptional for its time, since the expansion of the tangent function was not only written down formally, but also proved to be a convergent continued fraction. |
| Pringsheim did a lot of work on continued fractions: he introduced the term 'unconditional convergence' of a continued fraction and also gave what is now known as the Pringsheim criterion which insures the convergence of a continued fraction in 1898. |
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Katharina Mann - Wikipedia, the free encyclopedia (343 words) |
| Katharina "Katia" Hedwig Mann-Pringsheim (July 24, 1883–April 25, 1980) was the youngest child and only daughter (among four sons) of the Jewish mathematician and artist Alfred Pringsheim and his wife Hedwig Dohm Pringsheim, who was an actress in Berlin before her marriage. |
| Her twin brother Klaus Pringsheim was a conductor, composer, music writer and music pedagog, active in Germany and Japan. |
| At age 21, in the fall of 1904, she aborted her studies of physics and mathematics on the request of her mother and aunt, to marry the writer Thomas Mann on February 11, 1905, in Munich. |
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