The Scientific Archive

The works of Sonya Kovaleskaya

 

 

Kovalevskaya published 10 works in mathematics. Two are identical except for the language, below numbered 5, 6.Two are considered to be of outstanding significance. Her work later known as Cauchy-Kovalevskaia Theorem and her paper for the Prix Bordin Competition on the rotation of a solid body about a fixed point. These items are marked with a “*”. The following list of Kovalevskaya’s mathematical works is from Stillman, A RUSSIAN CHILDHOOD, p.249 and was compiled by P. Kochina.)

* 1. “Zur Theorie der partiellen Differentialgleichungen.” Journal fur die reine und angewandte Mathematik, 80 (1875), 1-32.

2. “Uber die Reduction einer bestimmten Klasse von Abel’scher Integrale 3-en Ranges auf elliptische Integrale.” Acta Mathematica 4 (1884), 393-414.

3. “Zusatze und Bermerkungen zu Laplace’s Untersuchung uber die Gestalt des Saturnringes.” Astronomische Nachrichten 111 (1885), 37-48.

4. “Uber die Brechung des Lichtes in crystallinischen Mitteln.” Acta Mathematica 6 (1885), 249-304.

5. “Sur la propagation de la lumiere dans un milieu cristallise.” Comptes rendus Acad. Sc. 98 (1884), 356-357.

6. “Om ljusets fortplanting uti ett kristalliniskt medium.” Of versigt af Kongl. Vetenskaps-Akademiens Forhandlinger 41 (1884), 119-121.

7. “Sur le probleme de la rotation d’un corps solide autour d’un point fixe.” Acta Mathematica 12 (1889), H.2, 177-232.

8. “Sur une propriete du systeme d’equations differentielles qui definit la rotation d’un corps solide autour d’uin point fixe.” Acta Mathematica 14 (1890), 81-93.

* 9. “Memoire sur un cas particulier du probleme de la rotation d’un corps pesant autour d’un point fixe, ou l’integration s’effectue a l’aide de fonctions ultraelliptiques du temps. Memoires presentes par divers savants a l’Academie des Sciences de l’Institut National de France, Paris, 31 (1890), 1-62.

10. “Sur un theoreme de M. Bruns.” Acta Mathematica 15 (1891), 45-52, doi:10.1007/BF02392602 .