Adolf Kneser(19 March 1862 – 24 January 1930) was aGermanmathematician.
Adolf Kneser | |
|---|---|
 Adolf Kneser inPrague,Sep.1929 | |
| Born | 19 March 1862 |
| Died | 24 January 1930(aged 67) |
| Nationality | German |
| Alma mater | University of Berlin |
| Known for | Four-vertex theorem Kneser's theorem Kneser sequence Tait–Kneser theorem |
| Scientific career | |
| Fields | Mathematics |
| Institutions | University of Breslau |
| Doctoral advisor | Leopold Kronecker Ernst Eduard Kummer |
| Doctoral students | Stefan Cohn-Vossen Rudolf Weyrich |
| Other notable students | Alfreds Meders |
He was born inGrüssow,Grand Duchy of Mecklenburg-Schwerinand died in Breslau, Germany.
He is the father of the mathematicianHellmuth Kneserand the grandfather of the mathematicianMartin Kneser.
Kneser is known for the first proof of thefour-vertex theoremthat applied in general to non-convex curves. Kneser's theorem on differential equationsis named after him, and provides criteria to decide whether adifferential equationisoscillating.He is also one of the namesakes of theTait–Kneser theoremonosculating circles.
Selected publications
edit- Über einige fundamentalsätze aus der theorie der algebraischen funktionen von mehreren variabeln.1884.
- Lehrbuch der Variationsrechnung.1900.;2nd edition.1925.[1]
- Die Integralgleichungen und ihre Anwendungen in der mathematischen Physik: Vorlesungen an der Universität zu Breslau.1911.;[2]2nd edition.1922.[3]
- Theorie der elliptischen funktionen aus den eigenschaften der thetareihen abgeleitet by C. G. J Jacobi.1927.
- Das Prinzip der kleinsten Wirkung von Leibniz bis zur Gegenwart.1928.[4]
References
edit- ^Miles, E. J. (1928)."Review:Lehrbuch der Variationsrechnung,2nd edition, by Adolph Kneser ".Bull. Amer. Math. Soc.34:380.doi:10.1090/S0002-9904-1928-04600-1.
- ^Hurwitz, Wallie Abraham(1913)."Review:Die Integralgleichungen und ihre Anwendungen in der mathematischen Physikby A. Kneser ".Bull. Amer. Math. Soc.19:406–411.doi:10.1090/S0002-9904-1913-02368-1.
- ^Kellogg, O. D.(1925)."Review:Die Integralgleichungen und ihre Anwendungen in der mathematischen Physik,2nd edition, by Adolph Kneser ".Bull. Amer. Math. Soc.31:177–178.doi:10.1090/S0002-9904-1925-04007-0.
- ^Dresden, Arnold(1931)."Review:Das Prinzip der kleinsten Wirkung von Leibniz bis zur Gegenwartby A. Kneser ".Bull. Amer. Math. Soc.37:154.doi:10.1090/S0002-9904-1931-05116-8.
External links
edit- Adolf Kneserat theMathematics Genealogy Project
- O'Connor, John J.;Robertson, Edmund F.,"Adolf Kneser",MacTutor History of Mathematics Archive,University of St Andrews
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