Wilhelm Blaschke
| Wilhelm Blaschke | |
|---|---|
 | |
| Born |
13 September 1885 Graz |
| Died |
17 March 1962 (aged 76) Hamburg |
| Nationality | Austrian |
| Fields | Mathematics |
| Institutions | University of Hamburg |
| Alma mater | University of Vienna |
| Doctoral advisor | Wilhelm Wirtinger |
| Doctoral students |
Shiing-Shen Chern Luis Santaló Emanuel Sperner |
| Known for |
Blaschke product Blaschke selection theorem Blaschke–Santaló inequality |
Wilhelm Johann Eugen Blaschke (13 September 1885 – 17 March 1962) was an Austrian differential and integral geometer.
His students included Shiing-Shen Chern, Luis Santaló, and Emanuel Sperner.
In 1916 Blaschke published one of the first books devoted to convex sets: Circle and Sphere (Kreis und Kugel). Drawing on dozens of sources, Blaschke made a thorough review of the subject with citations within the text to attribute credit in a classical area of mathematics.
In 1933 Blaschke signed the Loyalty Oath of German Professors to Adolf Hitler and the National Socialist State.
Wilhelm Blaschke joined the NSDAP in 1937.[1]
Publications
- Kreis und Kugel, Leipzig, Veit 1916; 3rd edn. Berlin, de Gruyter 1956
- Vorlesungen über Differentialgeometrie, 3 vols., Springer, Grundlehren der mathematischen Wissenschaften 1921-1929 (vol. 1, Elementare Differentialgeometrie;[2] vol. 2, Affine Differentialgeometrie; vol. 3, Differentialgeometrie der Kreise und Kugeln, 1929)
- with G. Bol: Geometrie der Gewebe. Berlin: Springer 1938[3]
- Ebene Kinematik. Leipzig: B.G. Teubner 1938,[4] 2nd expanded edn. with Hans Robert Müller, Oldenbourg, München 1956
- Nicht-Euklidische Geometrie und Mechanik I, II, III. Leipzig: B.G.Teubner (1942)
- Zur Bewegungsgeometrie auf der Kugel. In: Sitzungsberichte der Heidelberger Akademie der Wissenschaften (1948)
- Einführung in die Differentialgeometrie. Springer 1950,[5] 2nd expanded edn. with H. Reichardt 1960
- with Kurt Leichtweiß: Elementare Differentialgeometrie. Berlin : Springer (5th edn. 1973)
- Reden und Reisen eines Geometers. Berlin : VEB Deutscher Verlag der Wissenschaften (1961; 2nd expanded edn.)
- Mathematik und Leben, Wiesbaden, Steiner 1951
- Griechische und anschauliche Geometrie, Oldenbourg 1953
- Projektive Geometrie, 3rd edn, Birkhäuser 1954
- Analytische Geometrie, 2nd edn., Birkhäuser 1954
- Einführung in die Geometrie der Waben, Birkhäuser 1955[6]
- Vorlesungen über Integralgeometrie, VEB, Berlin 1955
- Kinematik und Quaternionen. Berlin : VEB Deutscher Verlag der Wissenschaften (1960)
- Gesammelte Werke, Thales, Essen 1985
Namesake
A number of mathematical theorems and concepts is associated with the name of Blaschke.
- Blaschke selection theorem
- Blaschke–Lebesgue theorem
- Blaschke product
- Blaschke condition
- Blaschke–Santaló inequality
- Blaschke conjecture: "The only Wiedersehen manifolds in any dimension are the standard Euclidean spheres."
References
- ↑ Heinrich Behnke (1898-1979): zwischen Mathematik und deren Didaktik, Uta Hartmann, 2009 ISBN 9783631588604
- ↑ Bliss, G. A. (1923). "Blaschke on Differential Geometry". Bull. Amer. Math. Soc. 29 (7): 322–325. doi:10.1090/S0002-9904-1923-03737-3.
- ↑ Walker, R. J. (1939). "Review: W. Blaschke and G. Bol, Geometrie der Gewebe". Bull. Amer. Math. Soc. 45 (9): 652–653. doi:10.1090/s0002-9904-1939-07052-3.
- ↑ Synge, J. L. (1939). "Review: W. Blaschke, Eben Kinematik". Bull. Amer. Math. Soc. 45 (11): 814–815. doi:10.1090/s0002-9904-1939-07071-7.
- ↑ Allendoerfer, Carl B. (1951). "Review, W. Blaschke, Einführung in die Differentialgeometrie". Bull. Amer. Math. Soc. 57 (1, Part 1): 84–85. doi:10.1090/s0002-9904-1951-09454-9.
- ↑ Hsiung, C. C. (1957). "Review: W. Blaschke, Einführung in die Geometrie der Waben". Bull. Amer. Math. Soc. 63 (3): 203–204. doi:10.1090/s0002-9904-1957-10104-9.
- Blaschke, W. (1957). Reden und Reisen eines Geometers. East Berlin.
External links
- O'Connor, John J.; Robertson, Edmund F., "Wilhelm Blaschke", MacTutor History of Mathematics archive, University of St Andrews.
- Wilhelm Blaschke at the Mathematics Genealogy Project
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