On 1 April 1883 Engel began a year of military service which he undertook in Dresden. He published a 44-page paper, with the same title as his thesis, in Mathematische Annalen in 1884. He passed the state examination, qualifying him as a secondary school teacher of mathematics, in Leipzig at the beginning of 1883 and received his doctorate from Leipzig in the summer of that year for his thesis Zur Theorie der Berührungstransformationen Ⓣ ( On the theory of contact transformations ), having studied under Adolph Mayer. His university studies of mathematics began at Easter 1879 when he entered the University of Leipzig but he also spent a while in Karl Weierstrass's school at the University of Berlin. Friedrich began his schooling in Greiz in 1868 and, four years later, he entered the Gymnasium at Greiz where he studied from 1872 to 1879. In fact in 1864, when Friedrich was four years old, the family moved to Greiz, one of the chief towns of Reuss Oberland, where his father had taken a position as a teacher of religious studies at the local high school. Moritz Engel, as well as being a Lutheran pastor was the author of many religious books and a gymnasium teacher. Biography Friedrich Engel was the son of the Lutheran pastor Moritz Robert Engel (1826- 1903) and his wife Marie Meissner.
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