Paul Gustav Heinrich Bachmann (22 June 1837 – 31 March 1920) was a German mathematician.
Born 22 June 1837 Died 31 March 1920 (aged 82) Nationality German Scientific career Fields Mathematics Life Edit
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.
Bachmann was a professor at
Breslau and later at Münster.
Bachmann late in his life
Zahlentheorie, Bachmann's work on number theory in five volumes (1872-1923):
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 References Edit
Young, Jacob William Albert (1894). "Review: Die Elemente der Zahlentheorie, by P. Bachmann". Bull. Amer. Math. Soc. 3 (9): 215–222. doi: 10.1090/s0002-9904-1894-00216-x.
Dickson, L. E. (1903). "Review: Niedere Zahlentheorie. Erster Teil, by P. Bachmann". Bull. Amer. Math. Soc. 9 (10): 555–556. doi: 10.1090/s0002-9904-1903-01031-3.
Dickson, L. E. (1911). "Review: Niedere Zahlentheorie. Zweiter Teil, by P. Bachmann". Bull. Amer. Math. Soc. 17 (5): 255–256. doi: 10.1090/s0002-9904-1911-02041-9. External links Edit Further reading Edit