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Paul Gustav Heinrich Bachmann (22 June 1837 – 31 March 1920) was a German
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
Author profile
in the database zbMATH
mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems.
Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
.
Life
Bachmann studied mathematics at the university of his native city ofBerlin
Berlin is Capital of Germany, the capital and largest city of Germany, both by area and List of cities in Germany by population, by population. Its more than 3.85 million inhabitants make it the European Union's List of cities in the European U ...
and
received his doctorate in 1862 for his thesis on group theory
In abstract algebra, group theory studies the algebraic structures known as group (mathematics), groups.
The concept of a group is central to abstract algebra: other well-known algebraic structures, such as ring (mathematics), rings, field ...
. 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
Münster (; nds, Mönster) is an independent city (''Kreisfreie Stadt'') in North Rhine-Westphalia, Germany. It is in the northern part of the state and is considered to be the cultural centre of the Westphalia region. It is also a state d ...
.
Works
*''Zahlentheorie'', Bachmann's work onnumber theory
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Math ...
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
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Math ...
*''Das Fermat-Problem in seiner bisherigen Entwicklung'', a work about Fermat's Last Theorem
In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers , , and satisfy the equation for any integer value of greater than 2. The cases and have bee ...
References
External links
* *Author profile
in the database zbMATH
Further reading
* 1837 births 1920 deaths Scientists from Berlin 19th-century German mathematicians 20th-century German mathematicians Group theorists Number theorists University of Münster faculty {{germany-mathematician-stub