August Ferdinand Möbius

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August Möbius
August Ferdinand Möbius (1790–1868)
Born	November 17, 1790 Schulpforta, Saxony-Anhalt, Germany
Died	September 26, 1868 Leipzig
Residence	Germany
Nationality	German
Fields	Mathematician
Institutions	University of Leipzig
Alma mater	University of Leipzig University of Göttingen University of Halle
Doctoral advisor	Johann Pfaff
Other academic advisors	Carl Friedrich Gauss Karl Mollweide
Doctoral students	Otto Wilhelm Fiedler
Other notable students	Hermann Hankel
Known for	Möbius strip Möbius transformations Möbius transform Möbius function Möbius inversion formula Möbius–Kantor graph

August Ferdinand Möbius (November 17, 1790 – September 26, 1868) (German pronunciation: [ˈmøbiʊs]) was a German mathematician and theoretical astronomer. He was born in Schulpforta, Saxony-Anhalt, Germany and died in Leipzig.

He is best known for his discovery of the Möbius strip, a non-orientable two-dimensional surface with only one side when embedded in three-dimensional Euclidean space. It was independently discovered by Johann Benedict Listing around the same time. The Möbius configuration, formed by two mutually inscribed tetrahedra, is also named after him. Möbius was the first to introduce homogeneous coordinates into projective geometry. Möbius transformations, important in projective geometry, are not to be confused with the Möbius transform of number theory, which also bears his name. His interest was also in number theory, and the important Möbius function μ(n) and the Möbius inversion formula are named after him. In Euclidean geometry, he systematically developed the use of signed angles and line segments as a way of simplifying and unifying results.^[1]

Möbius studied under Carl Friedrich Gauss and Johann Pfaff.

Contents 1 Collected works 2 Trivia 3 References 4 External links

[edit] Collected works

• Gesammelte werke Erster band (v. 1) (Leipzig : S. Hirzel, 1885)
• Gesammelte werke Zweiter band (v. 2) (Leipzig : S. Hirzel, 1885)
• Gesammelte werke Dritter band (v. 3) (Leipzig : S. Hirzel, 1885)
• Gesammelte werke Vierter band (v. 4) (Leipzig : S. Hirzel, 1885)

[edit] Trivia

Lists of miscellaneous information should be avoided. Please relocate any relevant information into appropriate sections or articles. (November 2007)

• Möbius was a descendant of Martin Luther by way of his mother.
• The character of Johann Wilhelm Möbius—a particular scientist who tries to evade his own inventions by pretending to be insane—in Dürrenmatt's satiric drama The Physicists is named after him.
• The crater Möbius on the Moon's far side is named after him.
• The asteroid 28516 Möbius is also named after him.
• In StarCraft, the upgraded energy reactor of the Terran Ghost is called "Moebius Reactor"
• There is a tribute to him in Serious Sam: The Second Encounter, in the form on the deathmatch map dm_mobius (which has since spawned various spin-offs such as in the Unreal Tournament series).
• Möbius also plays a pivotal part in Brian Lumley's Necroscope book series.

[edit] References

[edit] External links

• O'Connor, John J.; Robertson, Edmund F., "August Ferdinand Möbius", MacTutor History of Mathematics archive .
• August Ferdinand Möbius at the Mathematics Genealogy Project
• Möbius math genealogy
• A beautiful visualization of Möbius Transformations, created by mathematicians at the University of Minnesota is viewable at [1]
• Middle School Mathematician Project Short biography of Mobius by middle school students.

Please help improve this article or section by expanding it. Further information might be found on the talk page. (October 2008)