Hermann Hankel
Hermann Hankel | |
---|---|
File:Hankel.jpeg | |
Born | Halle |
14 February 1839
Died | Script error: The function "death_date_and_age" does not exist. Schramberg, Tübingen |
Nationality | German |
Fields | Mathematical analysis Special functions |
Hermann Hankel (14 February 1839 – 29 August 1873) was a German mathematician who was born in Halle, Germany and died in Schramberg (near Tübingen), Imperial Germany.
He studied and worked with, among others, Möbius, Riemann, Weierstrass and Kronecker.
His 1867 exposition on complex numbers and quaternions is particularly memorable. For example, Fischbein notes that he solved the problem of products of negative numbers by proving the following theorem: "The only multiplication in R which may be considered as an extension of the usual multiplication in R+ by respecting the law of distributivity to the left and the right is that which conforms to the rule of signs."[1] Furthermore, Hankel draws attention[2] to the linear algebra that Hermann Grassmann had developed in his Extension Theory in two publications. This attention was the first of many notations later made to Grassmann's early insights on the nature of space.
Selected publications
- Hermann Hankel (1863) Die Euler'schen Integrale bei unbeschränkter Variabilität des Argumentes, Voss.
- Hermann Hankel (1867) Vorlesungen uber die complexen Zahlen und ihre Functionen, Voss.
- Hermann Hankel (1869) Die Entwickelung der Mathematik in den letzten Jahrhunderte.
- Hermann Hankel (1870) Untersuchungen über die unendlich oft oscillirenden und unstetigen Functionen.
- Hermann Hankel (1874) Zur Geschichte der Mathematik in Alterthum und Mittelalter.
- Hermann Hankel (1875) Die Elemente der projectivischen Geometrie in synthetischer Behandlung.
See also
- Hankel matrix/Hankel operator
- Hankel functions in the theory of Bessel functions
- Hankel contour
- Hankel transform
Notes
- ↑ See (Fischbein 1987, p. 99).
- ↑ See (Hankel 1867, p. 16).
References
- Lua error in package.lua at line 80: module 'strict' not found..
- Lua error in package.lua at line 80: module 'strict' not found.. "Riemann's conditions for integrability and their influence on the birth of the concept of measure" (English translation of title) is an article on the history of measure theory, analyzing deeply and comprehensively every early contribution to the field, starting from Riemann's work and going to the works of Hermann Hankel, Gaston Darboux, Giulio Ascoli, Henry John Stephen Smith, Ulisse Dini, Vito Volterra, Paul David Gustav du Bois-Reymond and Carl Gustav Axel Harnack.
External links
- Lua error in package.lua at line 80: module 'strict' not found..
- Hermann Hankel at the Mathematics Genealogy Project
Lua error in package.lua at line 80: module 'strict' not found.
<templatestyles src="Asbox/styles.css"></templatestyles>
- Pages with broken file links
- 1839 births
- 1873 deaths
- 19th-century German mathematicians
- Historians of mathematics
- Mathematical analysts
- German mathematicians
- People from Halle (Saale)
- People from the Province of Saxony
- University of Göttingen alumni
- Humboldt University of Berlin alumni
- Leipzig University alumni
- Leipzig University faculty
- University of Erlangen-Nuremberg faculty
- University of Tübingen faculty
- German mathematician stubs