Luis Santaló

Luis Antoni Santaló Sors ( born October 9, 1911 in Girona, † 22 November 2001 in Buenos Aires ) was a Spanish- Argentine mathematician who is known for his contributions to integral geometry.

Santaló studied at the University of Madrid (amongst others with Julio Rey Pastor ) and the University of Hamburg, where he received his doctorate at the famous geometry specialists Wilhelm Blaschke 1936. In the aftermath of the Spanish Civil War (he was in the Air Force of the defeated Republicans ), he moved in 1939 to Argentina, where he was a professor at several universities, first at the Universidad Nacional del Litoral, where he 1939-1948 deputy under Beppo Levi Director of the Mathematical Institute was. In 1948 he was a visiting professor in Chicago and Princeton. In 1949 he became a professor at the National University of La Plata and the University of Buenos Aires. Since 1956, he only taught at the latter. He took part in the Argentine citizenship.

He focused in particular on integral geometry ( the doctrine under the symmetry groups of the space of invariant geometric dimensions), which has its origin in Buffon's needle problem and whose founders was his teacher Blaschke. Among other things, he proved in 1949 the general case of the Blaschke - Santaló inequality ( Blaschke had the two - and three-dimensional case proved). It expresses that the ellipse maximum volume of product among all centrally symmetric convex bodies has ( whereby the products of the volumes of the body and its associated polar body formed ). In addition to integral geometry, it dealt with a geometric probability theory, geometry of numbers, differential geometry, convex geometry and unified field theories of physics.

He was awarded the Prince of Asturias Prize and the Price Bernardo Houssay the Organization of American States. In 1950 he was invited speaker at the International Congress of Mathematicians (ICM ) in Cambridge (Massachusetts ) (Integral geometry in general spaces )

He was temporarily on the Argentine Atomic Energy Commission and was a member of the Argentine national Council for Science and Technology. He was president of the Inter-American Commission on Mathematics Education. He also published on mathematics pedagogy and the history of mathematics in Argentina.

Writings

  • Historia de la Aeronautica, Buenos Aires 1946
  • Rey Pastor Geometria integral, Buenos Aires 1951
  • Introduction to Integral Geometry, Paris, Herman 1953
  • With Balanzat, Rey Pastor Geometria analitica, Buenos Aires 1955
  • Geometrias no- euclidianas, Editorial Universitaria de Buenos Aires ( Eudeba ), 1961
  • Vectores y Tensores, Eudeba 1961
  • Geometria proyectiva, Eudeba 1966
  • Espacios vectoriales y geometria analitica, Monografias de la OEA, Washington DC, 1965
  • Probilidad e Inferencia Estadística, Monografias de la OEA, Washington DC, 1970
  • La Matematica en la Escuela Secundaria, Eudeba 1966
  • Integral Geometry and geometric probability, Encyclopedia of Mathematics and its Applications, Addison -Wesley 1976
  • Geometria Espinorial, Instituto Argentino de Matematica, CONICET, Buenos Aires 1976
  • La Educacion Matematica, Barcelona 1975
  • Vectores y con sus aplicaciones tensores, 1977
  • Evolucion de las Ciencias de la Republica Argentina, Volume 1 ( Mathematics ), Buenos Aires 1975
  • Selected Works, Springer Verlag 2009
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