Paul Gustav Heinrich Bachmann
Paul Gustav Heinrich Bachmann (22 June 1837 – 31 March 1920) was a German mathematician.
Paul Gustav Heinrich Bachmann
Presumably Carl Georgi · Reinhard Bölling (1994) Das Fotoalbum für Weierstraß, Braunschweig/Wiesbaden: Friedr. Vieweg Sohn ISBN: 3-528-06602-4. Self-scanned · Public domain
- Born
- 1837
- Died
- 1920
- Nationality
- Germany
- Occupation
- mathematician · historian of mathematics · university teacher · musician
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Paul Gustav Heinrich Bachmann (22 June 1837 – 31 March 1920) was a German mathematician.
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In this article
Life
Life
Bachmann studied mathematics at the university of his native city of Berlin and received his doctorate in 1862 for his thesis on group theory. He then went to Breslau to study for his habilitation, which he received in 1864 for his thesis on Complex Units. He was a professor at Breslau and later at Münster.
Works
Works
Zahlentheorie, Bachmann's work on number theory in five volumes (1872-1923): Vol. I: Die Elemente der Zahlentheorie (1892) Vol. II: Analytische Zahlentheorie (1894), a work on analytic number theory in which Big O notation was first introduced Vol. III: Die Lehre von der Kreistheilung und ihre Beziehungen zur Zahlentheorie (first published in 1872) Vol. IV (Part 1): Die Arithmetik der quadratischen Formen (1898) Vol. IV (Part 2): Die Arithmetik der quadratischen Formen (posthumously published in 1923) Vol. V: Allgemeine Arithmetik der Zahlenkörper (1905) Niedere Zahlentheorie: First part (1902), Second part (1910), a two-volume work on elementary number theory Das Fermat-Problem in seiner bisherigen Entwicklung, a work about Fermat's Last Theorem Bachmann introduced the Big O notation, which was later popularized by Edmund Landau.
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Cited by Wikipedia
Notes from the source article
These works are cited by the source article, in its own numbering. They are recorded as its citations, not as sources VALÉORINE has verified.
- 1.MacTutor Biography id=Bachmann title=Paul Gustav Heinrich Bachmann
- 2.Young, Jacob William Albert. Review: Die Elemente der Zahlentheorie, by P. Bachmann. Bull. Amer. Math. Soc. 3. 9. 215–222. 1894. 10.1090/s0002-9904-1894-00216-x.
- 3.Dickson, L. E. Review: Niedere Zahlentheorie. Erster Teil, by P. Bachmann. Bull. Amer. Math. Soc. 9. 10. 555–556. 1903. 10.1090/s0002-9904-1903-01031-3.
- 4.Dickson, L. E. Review: Niedere Zahlentheorie. Zweiter Teil, by P. Bachmann. Bull. Amer. Math. Soc. 17. 5. 255–256. 1911. 10.1090/s0002-9904-1911-02041-9.
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