Ludwig Otto Hesse (22 April 1811 – 4 August 1874) was a German mathematician. Hesse was born in Königsberg, Prussia, and died in Munich, Bavaria. He worked on algebraic invariants. The Hessian matrix, the Hesse normal form, the Hesse configuration, the Hessian group, Hessian pairs, Hesse's theorem, and the Hesse pencil are named after him.
Hesse was born in Königsberg (today Kaliningrad) as the son of Johann Gottlieb Hesse, a businessman and brewery owner and his wife Anna Karoline Reiter (1788–1865). He studied in his hometown at the Albertina under Carl Gustav Jacob Jacobi. Among his teachers we count Bessel, Neumann, and Richelot. He earned his doctorate in 1840 at the University of Königsberg with the dissertation De octo punctis intersectionis trium superficium secundi ordinis. In 1841 followed the habilitation. In the same year he married Sophie Marie Emilie Dulk, the daughter of pharmacists and chemistry professor Friedrich Philipp Dulk (1788–1852). The couple had a son and 5 daughters. Hesse taught for some time physics and chemistry at the Vocational School in Königsberg and lectured at the Albertina. In 1845 he was appointed associate professor in Königsberg. In 1855 he moved to Halle and in 1856 to Heidelberg until 1868, when he finally moved to Munich to the there newly established Polytechnic School. In 1869 he joined the Bavarian Academy of Sciences. His doctoral students include Olaus Henrici, Gustav Kirchhoff, Jacob Lüroth, Adolph Mayer, Max Noether, and Ernst Schröder.
- Vorlesungen über analytische Geometrie des Raumes. (Lectures on analytic geometry of space) Leipzig (3. A. 1876)
- Vorlesungen aus der analytischen Geometrie der geraden Linie, des Punktes und des Kreises. (Lectures from the analytical geometry of the straight line, the point and the circle) Leipzig (1881). Hrsg. A. Gundelfinger
- Die Determinanten elementar behandelt. (Determinants elementary treated) Leipzig (2. A. 1872)
- Die vier Species. (The four Species) Leipzig (1872)
His collected works were published in 1897 by Bavarian Academy of Sciences and Humanities.
- Hesse, Ludwig Otto (1972) , in Dyck, W.; Gundelfinger, S.; Lüroth, J. et al., Ludwig Otto Hesse's gesammelte Werke, New York: Chelsea Publishing Co., ISBN 978-0-8284-0261-3, MR 0392474
- O'Connor, John J.; Robertson, Edmund F., "Otto Hesse", MacTutor History of Mathematics archive, University of St Andrews.
- Otto Hesse at the Mathematics Genealogy Project
- Vorlesungen über analytische Geometrie des Raumes, insbesondere über Oberflächen zweiter Ordnung
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