Mathematician:Hermann Hankel
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Mathematician
German mathematician who worked on complex numbers and quaternions.
Nationality
German
History
- Born: 14 February 1839 in Halle, Saxony-Anhalt
- Died: 29 August 1873 in Schramberg, Tübingen
Theorems and Definitions
- Hankel Functions (also known as Bessel Functions of the Third Kind, for Friedrich Wilhelm Bessel):
Results named for Hermann Hankel can be found here.
Definitions of concepts named for Hermann Hankel can be found here.
Publications
- 1862: Über eine besondere Classe der symmetrischen Determinanten
- 1864: Die Euler'schen Integrale bei unbeschränkter Variabilität des Argumentes (Z. Math. Phys. Vol. 9: pp. 1 – 21)
- 1867: Prinzip der Permanenz der formalen Gesetze
- 1867: Theorie der complexen Zahlensysteme
- 1867: Vorlesungen uber die complexen Zahlen und ihre Functionen
- 1869: Die Entwickelung der Mathematik in den letzten Jahrhunderte
- 1870: Untersuchungen über die unendlich oft oscillirenden und unstetigen Functionen
- 1874: Zur Geschichte der Mathematik in Alterthum und Mittelalter
- 1875: Die Elemente der projectivischen Geometrie in synthetischer Behandlung
Notable Quotes
- In most sciences one generation tears down what another has built, and what one has established another undoes. In mathematics alone each generation adds a new story to the old structure.
- -- Quoted in 1990: William Dunham: Journey Through Genius: Preface
Sources
- 1990: William Dunham: Journey Through Genius ... (previous) ... (next): Preface
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Hankel function
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Hankel function