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Paul Gustav Heinrich Bachmann ( June 22 1837 – March 31 1920 ) was a German Mathematician .

Bachmann studied Mathematics at the University 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 Unit s.

Bachmann was a professor at Breslau and later at Münster .

His major works include
  • ''Analytische Zahlentheorie'', a work on Analytic Number Theory in which Big O Notation was first introduced

  • ''Die Lehre von der Kreistheilung und ihre Beziehungen zur Zahlentheorie'', Teubner, Leipzig, 1872

  • ''Niedere Zahlentheorie'', a two-volume work on elementary Number Theory

  • ''Das Fermat-Problem in seiner bisherigen Entwicklung'', a work about Fermat's Last Theorem



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