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.
Bachmann was a professor at Breslau and later at Münster.
Bachmann late in his life
WorksEdit
Zahlentheorie, Bachmann's work on number theory in five volumes (1872-1923):
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),[2][3] a two-volume work on elementary number theory
Das Fermat-Problem in seiner bisherigen Entwicklung, a work about Fermat's Last Theorem
ReferencesEdit
^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.
paul, gustav, heinrich, bachmann, theologian, paul, bachmann, theologian, june, 1837, march, 1920, german, mathematician, paul, bachmannborn, 1837, june, 1837berlin, germanydied31, march, 1920, 1920, aged, weimar, germanynationalitygermanscientific, careerfiel. For the theologian see Paul Bachmann theologian Paul Gustav Heinrich Bachmann 22 June 1837 31 March 1920 was a German mathematician Paul BachmannBorn 1837 06 22 22 June 1837Berlin GermanyDied31 March 1920 1920 03 31 aged 82 Weimar GermanyNationalityGermanScientific careerFieldsMathematics Contents 1 Life 2 Works 3 References 4 External links 5 Further readingLife EditBachmann 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 Bachmann was a professor at Breslau and later at Munster nbsp Bachmann late in his lifeWorks EditZahlentheorie Bachmann s work on number theory in five volumes 1872 1923 Vol I Die Elemente der Zahlentheorie 1892 1 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 Zahlenkorper 1905 Niedere Zahlentheorie First part 1902 Second part 1910 2 3 a two volume work on elementary number theory Das Fermat Problem in seiner bisherigen Entwicklung a work about Fermat s Last TheoremReferences 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 EditO Connor John J Robertson Edmund F Paul Gustav Heinrich Bachmann MacTutor History of Mathematics Archive University of St Andrews Paul Gustav Heinrich Bachmann at the Mathematics Genealogy Project Author profile in the database zbMATHFurther reading EditOre Oystein 1970 Bachmann Paul Gustav Heinrich Dictionary of Scientific Biography Vol 1 New York Charles Scribner s Sons p 370 ISBN 0 684 10114 9 nbsp This article about a German mathematician is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Paul Gustav Heinrich Bachmann amp oldid 1177070088, wikipedia, wiki, book, books, library,
