Abstract
In 1795, at the age of eighteen, Gauss left his native Brunswick to study mathematics at the University of Göttingen, a small town approximately 65 miles to the south. Göttingen, in the state of Hanover, was already “abroad”; Gauss went there against the wish of his Duke, who wanted him to attend the local university of Helmstedt.* Helmstedt was an old school, without much scientific reputation, dominated as it was by its schools of divinity and law. We know that Gauss preferred Göttingen because of its good library,1 but its reputation as a science-oriented “reform” university may also have contributed to his decision. Göttingen university, founded by King George II of England (who was also Prince of Hanover) after the pattern of Oxford and Cambridge, was better endowed than most other German universities and also more independent of governmental and ecclesiastical supervision and interference. There was not even a school of divinity; instead, the schools of medicine and the natural sciences were cultivated.2 As was customary at the German universities, Gauss was completely on his own as a student, a beneficiary of “academic freedom”. There were no regulations as to what lectures to attend, no tutors who worked with him, no examinations or curricular control, not even within the community of the students.† Gauss had social contacts with several of the professors, among them the physicist Lichtenberg, the astronomer Seyffer, and the linguist Heyne.
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Notes
This appears to be part of the Gauss folklore and I have not been able to find an authoritative reference.
There is a fair amount of secondary literature dealing with the origins and the development of the university of Göttingen. Probably the best general reference is Geschichte der George-August-Universität by Götz von Seile 1933. [Du Moulin-Eckardt] and, more importantly, [Smend] (see Bibliography) contain additional information.
Such a cartoon was among the memorabilia which Bolyai sent Sartorius after Gauss’s death. It is reproduced in [Reich].
See, eg., Gauss’s letter to Olbers of July 24, 1804 (#43).
Appendix G of [Dunnington] contains a list of books which Gauss borrowed from the university library.
Included in the Gauss-Bolyai correspondence.
…und ich mit dem damals dort [ie., Göttingen] studierenden Gauss bekannt wurde, mit dem ich noch heute in Freundschaft bin, obgleich weit entfernt mich mit ihm messen zu können. Er war sehr bescheiden und zeigte wenig; nicht drei Tage, wie mit Plato, jahrelang konnte man mit ihm Zusammensein, ohne seine Grösse zu erkennen. Schade, dass ich dieses titellose, schweigsame Buch nicht aufzumachen und zu lesen verstand. Ich wusste nicht, wieviel er wusste, und er hielt, nachdem er meine Art sah, viel von mir, ohne zu wissen, wie wenig ich bin. Uns verband die (sich äusserlich nicht zeigende) Leidenschaft für die Mathematik und unsere sittliche Übereinstimmung, so dass wir oft mit einander wandernd, jeder mit den eigenen Gedanken beschäftigt, stundenlang wortlos waren. [From the autobiographical sketch which Bolyai wrote for the Hungarian Academy of Science.]
Cf., eg., the Gauss-Bolyai correspondence, p. 153.
Kästner did not care for Gauss’s proof of the constructibility of the 17-gon—he presumably thought this was obvious.
Gauss-Bolyai correspondence, letter #11, of April 22, 1799.
Kästner seems to have thought that the axiom of parallels was not independent of the other Euclidean axioms.
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Bühler, W.K. (1981). Student Years in Göttingen, 1795–1798. In: Gauss. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-49207-5_4
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