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2019-11-05 13:27:16
MÖBIUS, August Ferdinand.
'Ueber die Bestimmung des Inhaltes eines Polyëders', pp. 31-68 in Berichte der Königlichen Sächsischen Gesellschaft der Wissenschaften zu Leipzig. Mathematisch-Physisiche Classe 17 (1865). [With:] 'Theorie der elementaren Verwandtschaft', pp. 18-57 in ibid. 15 (1863).
Leipzig: S. Hirzel, 1866 [- 1864]. First edition. First edition, journal issues in the original printed wrappers, of two of the most important papers in the early history of topology, including the introduction (and illustration) in the 1865 paper of the famous 'Möbius band' (or 'Möbius strip'). "August Möbius was one of the nineteenth century's most influential mathematicians and astronomers" (Fauvel et al.). "Möbius first described the 'Möbius band' in a paper presented to the Paris Academy in 1861 as an entry to a competition on the theme "Improve in some important point the geometric theory of polyhedra." Möbius' paper, written in bad French and containing many new ideas, was not understood by the jury, and like the other papers submitted to the competition, was not awarded the prize. The contents of the paper were published by Möbius in his articles 'Theorie der elementaren Verwandtschaft' (1863) and 'Ueber die Bestimmung des Inhaltes eines Polyëders' (1865)" (Kolmogorov & Yushkevich, p. 101). From an examination of Möbius's notebooks it is known that he discovered the Möbius strip in 1858; it was discovered independently in the same year by Johann Listing (who had coined the term 'topology' in 1847). On his discovery of a one-sided surface, Ian Stewart writes (Fauvel et al, p. 159): "It was typical that Möbius should notice a simple fact that anyone could have seen in the previous two thousand years - and typical that nobody did". Norman Biggs (ibid., p. 112) speculates that both Listing and Möbius may have been influenced in their discovery by the great Carl Friedric … [Klicken Sie unten für eine ausführliche Beschreibung]
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