Mathematician:Adolf Hurwitz
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Mathematician
German mathematician who was an early master of the theory of Riemann surfaces.
Nationality
German
History
- Born: 26 March 1859, Hildesheim, Lower Saxony, Germany
- Died: 18 Nov 1919, Zurich, Switzerland
Theorems and Definitions
- Hurwitz Quaternion
- Hurwitz's Automorphisms Theorem
- Hurwitz Group
- Hurwitz Surface (a.k.a. Hurwitz Curve)
- Hurwitz's Theorem (Complex Analysis)
- Hurwitz's Theorem (Number Theory)
- Hurwitz's Theorem (Normed Division Algebras)
- Riemann-Hurwitz Formula (with Bernhard Riemann)
- Hurwitz Matrix
- Hurwitz Polynomial
- Hurwitz Quaternion Order
- Hurwitz Zeta Function
- Hurwitz-Lerch Zeta Function (with Mathias Lerch) (also known as Lerch Zeta Function)
- First Hurwitz Triplet
- Hurwitz Determinant
- Hurwitz's Generalisation of Binomial Theorem
- Routh-Hurwitz Stability Criterion (with Edward John Routh)
- Routh-Hurwitz Theorem (with Edward John Routh)
- Radon-Hurwitz Number (with Johann Karl August Radon)
Results named for Adolf Hurwitz can be found here.
Definitions of concepts named for Adolf Hurwitz can be found here.
Publications
- 1881: Grundlagen einer independenten Theorie der elliptischen Modulfunktionen und Theorie der Multiplikatorgleichungen 1. Stufe.
- 1891: Ueber die angenäherte Darstellung der Irrationalzahlen durch rationale Brüche ("On the approximation of irrational numbers by rational numbers") (Math. Ann. Vol. 39, no. 2: pp. 279 – 284)
- 1892: Über algebraische Gebilde mit Eindeutigen Transformationen in sich (Math. Ann. Vol. 41, no. 3: pp. 403 – 442)
- 1893: Beweis der Transcendenz der Zahle (Math. Ann. Vol. 43: pp. 220 – 221)
- 1895: Über die Bedingungen, unter welchen eine Gleichung nur Wurzeln mit negativen reellen Theilen besitzt (Math. Ann. Vol. 46: pp. 273 – 284)
- 1902: Über Abel's Verallgemeinerung der binomischen Formel (Acta Math. Vol. 26: pp. 199 – 203)