Adolf Kneser

Adolf Kneser (19 March 1862 – 24 January 1930) was a German mathematician.

Adolf Kneser
Adolf Kneser in Prague, Sep.1929
Born(1862-03-19)19 March 1862
Grüssow, Mecklenburg
Died24 January 1930(1930-01-24) (aged 67)
Breslau, Silesia
NationalityGerman
Alma materUniversity of Berlin
Known forFour-vertex theorem
Kneser's theorem
Kneser sequence
Tait–Kneser theorem
Scientific career
FieldsMathematics
InstitutionsUniversity of Breslau
Doctoral advisorLeopold Kronecker
Ernst Eduard Kummer
Doctoral studentsStefan Cohn-Vossen
Rudolf Weyrich

He was born in Grüssow, Grand Duchy of Mecklenburg-Schwerin and died in Breslau, Germany.

He is the father of the mathematician Hellmuth Kneser and the grandfather of the mathematician Martin Kneser.

Kneser is known for the first proof of the four-vertex theorem that applied in general to non-convex curves. Kneser's theorem on differential equations is named after him, and provides criteria to decide whether a differential equation is oscillating. He is also one of the namesakes of the Tait–Kneser theorem on osculating circles.

Selected publications
  • 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
  1. 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.
  2. Hurwitz, Wallie Abraham (1913). "Review: Die Integralgleichungen und ihre Anwendungen in der mathematischen Physik by A. Kneser". Bull. Amer. Math. Soc. 19: 406–411. doi:10.1090/S0002-9904-1913-02368-1.
  3. 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.
  4. Dresden, Arnold (1931). "Review: Das Prinzip der kleinsten Wirkung von Leibniz bis zur Gegenwart by A. Kneser". Bull. Amer. Math. Soc. 37: 154. doi:10.1090/S0002-9904-1931-05116-8.


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