Wilhelm Blaschke

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Wilhelm Blaschke
Wilhelm Blaschke.jpg
Born (1885-09-13)13 September 1885
Graz
Died 17 March 1962(1962-03-17) (aged 76)
Hamburg
Nationality Austrian
Alma mater University of Vienna
Known for Blaschke product
Blaschke selection theorem
Blaschke–Santaló inequality
Scientific career
Fields Mathematics
Institutions University of Hamburg
Doctoral advisor Wilhelm Wirtinger
Doctoral students Shiing-Shen Chern
Luis Santaló
Emanuel Sperner

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.

References

  1. ^ Heinrich Behnke (1898-1979): zwischen Mathematik und deren Didaktik, Uta Hartmann, 2009 ISBN 9783631588604
  2. ^ Bliss, G. A. (1923). "Blaschke on Differential Geometry". Bull. Amer. Math. Soc. 29 (7): 322–325. doi:10.1090/S0002-9904-1923-03737-3. 
  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. 
  4. ^ 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. 
  5. ^ 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. 
  6. ^ 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

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