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Herbert Busemann

Herbert Busemann (12 May 1905 – 3 February 1994) was a German-American mathematician specializing in convex and differential geometry. He is the author of Busemann's theorem in Euclidean geometry and geometric tomography. He was a member of the Royal Danish Academy and a winner of the Lobachevsky Medal (1985), the first American mathematician to receive it.[1] He was also a Fulbright scholar in New Zealand in 1952.[2]

Werner Fenchel, Aleksandr Danilovich Aleksandrov, Herbert Busemann, Børge Jessen (1954).

Biography edit

Herbert Busemann was born in Berlin to a well-to-do family. His father, Alfred Busemann, was a director of Krupp, where Busemann also worked for several years. He studied at University of Munich, Paris, and Rome. He defended his dissertation in University of Göttingen in 1931, where his advisor was Richard Courant. He remained in Göttingen as an assistant until 1933, when he escaped Nazi Germany to Copenhagen (he had a Jewish grandfather).[3] He worked at the University of Copenhagen until 1936, when he left to the United States. There, he got married in 1939 and naturalized in 1943. He had temporary positions at the Institute for Advanced Study, Johns Hopkins University, Illinois Institute of Technology, Smith College, and eventually became a professor in 1947 at University of Southern California.[4] He advanced to a distinguished professor in 1964, and continued working at USC until his retirement in 1970. Over the course of his work at USC, he supervised over 10 Ph.D. students.

He is the author of six monographs, two of which were translated into Russian. He received Lobachevsky Medal in 1985 for his book The geometry of geodesics.[5]

Busemann was also an active mathematical citizen. At different times, he was the president of the California chapter of Mathematical Association of America, and a member of the council of the American Mathematical Society.[6]

Busemann was also an accomplished linguist; he was able to read and speak in French, German, Spanish, Italian, Russian, and Danish. He could also read Arabic, Latin, Greek and Swedish.[7] He translated a number of papers and monograph, most notably from Russian, a rare language at the time. He was also an accomplished artist and had several public exhibitions of his Hard-edge paintings].[8] He died in Santa Ynez, California on February 3, 1994, at the age of 88.[9]

Busemann's Selected papers are now available in two volumes (908 and 842 pages), with introductory biographical material and commentaries on his work, and published by edited by Athanase Papadopoulos, Springer Verlag, 2018.

Books edit

  • Herbert Busemann, Selected Works, (Athanase Papadopoulos, ed.) Volume I, ISBN 978-3-319-64294-9, XXXII, 908 p., Springer International Publishing, 2018.
  • Herbert Busemann, Selected Works, (Athanase Papadopoulos, ed.) Volume II, ISBN 978-3-319-65623-6, XXXV, 842 p., Springer International Publishing, 2018.
  • Introduction to algebraic manifolds, Princeton University Press, 1939.
  • with Paul J. Kelly: Projective geometry and projective metrics, Academic Press, 1953, Dover 2006.
  • Convex Surfaces, Interscience 1958, Dover, 2008.
  • Geometry of Geodesics, Academic Press 1955,[10] Dover, 2005.
  • Metric methods in Finsler spaces and in the foundations of geometry, Princeton University Press, Oxford University Press, 1942.[11]
  • with Bhalchandra Phadke: Spaces with distinguished geodesics, Dekker, 1987.
  • Recent synthetic differential geometry, Springer 1970.

See also edit

Notes edit

  1. ^ LA Times, 1985.
  2. ^ LA Times, 1952.
  3. ^ Gardner, 1994.
  4. ^ LA Times, 1994.
  5. ^ В. М. Бухштабер, С. П. Новиков, История премии им. Н. И. Лобачевского (к 100-летию первого присуждения в 1897 г.)
  6. ^ LA Times, 1952.
  7. ^ LA Times, 1952.
  8. ^ LA Times, 1976.
  9. ^ LA Times, 1994.
  10. ^ Boothby, William M. (1957). "Review: Herbert Busemann, The geometry of geodesics". Bull. Amer. Math. Soc. 63 (2): 151–153. doi:10.1090/s0002-9904-1957-10112-8.
  11. ^ Ficken, F. A. (1944). "Review: Metric methods in Finsler spaces and in the foundations of geometry, by H. Busemann" (PDF). Bull. Amer. Math. Soc. 50 (2): 321–325. doi:10.1090/s0002-9904-1944-08118-4.

References edit

  • Reinhard Siegmund-Schultze, Mathematicians Fleeing from Nazi Germany: Individual Fates and Global Impact, p. 107, Princeton University Press, 2009.
  • Richard J. Gardner, Geometric tomography, p. 309, Cambridge University Press, 1994.
  • "Professor as SC plans study in New Zealand", Los Angeles Times, 6 January 1952, p. 22.
  • "Professors write Geometry Textbook", Los Angeles Times 10 August 1953, p. 1.
  • "Herbert Busemann, Oil Paintings", Los Angeles Times, 18 January 1976, p. M59.
  • Lee Dembart, "An Unsung Geometer Keeps to His Own Plane", Los Angeles Times, 14 July 1985, p. H3.
  • "Herbert Busemann; USC Emeritus Professor of Mathematics", Los Angeles Times, 19 March 1994, p. 24.
  • Athanase Papadopoulos, "Herbert Busemann", Notices of the AMS, vol. 65, No. 3, March 2018, p. 936-938.

External links edit

herbert, busemann, 1905, february, 1994, german, american, mathematician, specializing, convex, differential, geometry, author, busemann, theorem, euclidean, geometry, geometric, tomography, member, royal, danish, academy, winner, lobachevsky, medal, 1985, fir. Herbert Busemann 12 May 1905 3 February 1994 was a German American mathematician specializing in convex and differential geometry He is the author of Busemann s theorem in Euclidean geometry and geometric tomography He was a member of the Royal Danish Academy and a winner of the Lobachevsky Medal 1985 the first American mathematician to receive it 1 He was also a Fulbright scholar in New Zealand in 1952 2 Werner Fenchel Aleksandr Danilovich Aleksandrov Herbert Busemann Borge Jessen 1954 Contents 1 Biography 2 Books 3 See also 4 Notes 5 References 6 External linksBiography editHerbert Busemann was born in Berlin to a well to do family His father Alfred Busemann was a director of Krupp where Busemann also worked for several years He studied at University of Munich Paris and Rome He defended his dissertation in University of Gottingen in 1931 where his advisor was Richard Courant He remained in Gottingen as an assistant until 1933 when he escaped Nazi Germany to Copenhagen he had a Jewish grandfather 3 He worked at the University of Copenhagen until 1936 when he left to the United States There he got married in 1939 and naturalized in 1943 He had temporary positions at the Institute for Advanced Study Johns Hopkins University Illinois Institute of Technology Smith College and eventually became a professor in 1947 at University of Southern California 4 He advanced to a distinguished professor in 1964 and continued working at USC until his retirement in 1970 Over the course of his work at USC he supervised over 10 Ph D students He is the author of six monographs two of which were translated into Russian He received Lobachevsky Medal in 1985 for his book The geometry of geodesics 5 Busemann was also an active mathematical citizen At different times he was the president of the California chapter of Mathematical Association of America and a member of the council of the American Mathematical Society 6 Busemann was also an accomplished linguist he was able to read and speak in French German Spanish Italian Russian and Danish He could also read Arabic Latin Greek and Swedish 7 He translated a number of papers and monograph most notably from Russian a rare language at the time He was also an accomplished artist and had several public exhibitions of his Hard edge paintings 8 He died in Santa Ynez California on February 3 1994 at the age of 88 9 Busemann s Selected papers are now available in two volumes 908 and 842 pages with introductory biographical material and commentaries on his work and published by edited by Athanase Papadopoulos Springer Verlag 2018 Books editHerbert Busemann Selected Works Athanase Papadopoulos ed Volume I ISBN 978 3 319 64294 9 XXXII 908 p Springer International Publishing 2018 Herbert Busemann Selected Works Athanase Papadopoulos ed Volume II ISBN 978 3 319 65623 6 XXXV 842 p Springer International Publishing 2018 Introduction to algebraic manifolds Princeton University Press 1939 with Paul J Kelly Projective geometry and projective metrics Academic Press 1953 Dover 2006 Convex Surfaces Interscience 1958 Dover 2008 Geometry of Geodesics Academic Press 1955 10 Dover 2005 Metric methods in Finsler spaces and in the foundations of geometry Princeton University Press Oxford University Press 1942 11 with Bhalchandra Phadke Spaces with distinguished geodesics Dekker 1987 Recent synthetic differential geometry Springer 1970 See also editBlaschke Busemann measure Busemann function Busemann Petty problem Busemann G displaystyle G nbsp space Geodesic bicombingNotes edit LA Times 1985 LA Times 1952 Gardner 1994 LA Times 1994 V M Buhshtaber S P Novikov Istoriya premii im N I Lobachevskogo k 100 letiyu pervogo prisuzhdeniya v 1897 g LA Times 1952 LA Times 1952 LA Times 1976 LA Times 1994 Boothby William M 1957 Review Herbert Busemann The geometry of geodesics Bull Amer Math Soc 63 2 151 153 doi 10 1090 s0002 9904 1957 10112 8 Ficken F A 1944 Review Metric methods in Finsler spaces and in the foundations of geometry by H Busemann PDF Bull Amer Math Soc 50 2 321 325 doi 10 1090 s0002 9904 1944 08118 4 References editReinhard Siegmund Schultze Mathematicians Fleeing from Nazi Germany Individual Fates and Global Impact p 107 Princeton University Press 2009 Richard J Gardner Geometric tomography p 309 Cambridge University Press 1994 Professor as SC plans study in New Zealand Los Angeles Times 6 January 1952 p 22 Professors write Geometry Textbook Los Angeles Times 10 August 1953 p 1 Herbert Busemann Oil Paintings Los Angeles Times 18 January 1976 p M59 Lee Dembart An Unsung Geometer Keeps to His Own Plane Los Angeles Times 14 July 1985 p H3 Herbert Busemann USC Emeritus Professor of Mathematics Los Angeles Times 19 March 1994 p 24 Athanase Papadopoulos Herbert Busemann Notices of the AMS vol 65 No 3 March 2018 p 936 938 External links editHerbert Busemann at the Mathematics Genealogy Project Herbert Busemann s biography in Spanish Retrieved from https en wikipedia org w index php title Herbert Busemann amp oldid 1060845264, wikipedia, wiki, book, books, library,

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