Paul Gustav Heinrich Bachmann

Paul Gustav Heinrich Bachmann was a German mathematician.

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.

Zahlentheorie, Bachmann's work on number theory in five volumes :
*Vol. I: '
*Vol. II: ', a work on analytic number theory in which Big O notation was first introduced
*Vol. III: '
*Vol. IV : '
*Vol. IV : '
*Vol. V: '
Niedere Zahlentheorie: , , 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.