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Kneser Graph
Kneser is a surname. Notable people with the surname include: * Adolf Kneser (1862–1930), mathematician * Hellmuth Kneser (1898–1973), mathematician, son of Adolf Kneser * Martin Kneser (1928–2004), mathematician, son of Hellmuth Kneser {{surname ...
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Adolf Kneser
Adolf Kneser (19 March 1862 – 24 January 1930) was a German mathematician. 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 circle An osculating circle is a circle that best approximates the curvature of a curve at a specific point. It is tangent to the curve at that point and has the same curvature as the curve at that point. The osculating circle provides a way to unders ...s. Selected publications * *; *; * * References External links * * 1862 births 1930 deaths 19th-century German ...
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Hellmuth Kneser
Hellmuth Kneser (16 April 1898 – 23 August 1973) was a German mathematician who made notable contributions to group theory and topology. His most famous result may be his theorem on the existence of a prime decomposition for 3-manifolds. His proof originated the concept of normal surface, a fundamental cornerstone of the theory of 3-manifolds. He was born in Dorpat, Russian Empire (now Tartu, Estonia) and died in Tübingen, Germany. He was the son of the mathematician Adolf Kneser and the father of the mathematician Martin Kneser. He assisted Wilhelm Süss in the founding of the Mathematical Research Institute of Oberwolfach and served as the director of the institute from 1958 to 1959. He was an editor of Mathematische Zeitschrift, Archiv der Mathematik and Aequationes Mathematicae. Kneser formulated the problem of non-integer iteration of functions and proved the existence of the entire Abel function of the exponential; on the base of this Abel function, he construct ...
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