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August Ferdinand Möbius

August Ferdinand Möbius German mathematician and astronomer

German mathematician and astronomer
The basics
Quick Facts
Intro German mathematician and astronomer
A.K.A. Auguste Ferdinand Möbius, August Ferdinand Mobius
Countries Germany
Occupations Mathematician Astronomer Professor Educator
Type Academia Mathematics Science
Gender male
Birth 17 November 1790 (Schulpforte)
Death 26 September 1868 (Leipzig)
Star sign ScorpioScorpio
Family
Children: Theodor MöbiusPaul Möbius
Education University of Göttingen, Leipzig University
The details
Biography

August Ferdinand Möbius (UK: , US: ; German: [ˈmøːbi̯ʊs]; 17 November 1790 – 26 September 1868) was a German mathematician and theoretical astronomer.

Early life and education

Möbius was born in Schulpforta, Saxony-Anhalt, and was descended on his mother's side from religious reformer Martin Luther. He was home-schooled until he was 13, when he attended the College in Schulpforta in 1803, and studied there, graduating in 1809. He then enrolled at the University of Leipzig, where he studied astronomy under the mathematician and astronomer Karl Mollweide. In 1813, he began to study astronomy under the mathematically inclined professor Carl Friedrich Gauss at the University of Göttingen, while Gauss was the director of the Göttingen Observatory. From there, he went to study with Carl Gauss's instructor, Johann Pfaff, at the University of Halle, where he completed his doctoral thesis The occultation of fixed stars in 1815. In 1816, he was appointed as Extraordinary Professor to the "chair of astronomy and higher mechanics" at the University of Leipzig. Möbius died in Leipzig in 1868 at the age of 77. His son Theodor was a noted philologist.

Contributions

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. He is recognized for the introduction of the Barycentric coordinate system.

Many mathematical concepts are named after him, including the Möbius plane, the Möbius transformations, important in projective geometry, and the Möbius transform of number theory. His interest in number theory led to the important Möbius function μ(n) and the Möbius inversion formula. In Euclidean geometry, he systematically developed the use of signed angles and line segments as a way of simplifying and unifying results.

Collected works

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Sources
References
http://catalogo.bne.es/uhtbin/authoritybrowse.cgi?action=display&authority_id=XX1684202
http://data.bnf.fr/ark:/12148/cb123401153
http://isni.org/isni/000000010881877X
http://portail.mathdoc.fr/cgi-bin/oetoc?id=OE_MOBIUS__1
http://socialarchive.iath.virginia.edu/ark:/99166/w69s3mfz
http://www-history.mcs.st-andrews.ac.uk/Biographies/Mobius.html
http://www.genealogy.ams.org/id.php?id=35953
https://aleph.nkp.cz/F/?func=find-c&local_base=aut&ccl_term=ica=xx0173855&CON_LNG=ENG
https://archive.org/details/gesammeltewerkeh01mbuoft
https://archive.org/details/gesammeltewerkeh02mbuoft
https://archive.org/details/gesammeltewerkeh03mbuoft
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