Luis Santaló

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

Santaló studied at the University of Madrid (among others with Julio Rey Pastor ) and the University of Hamburg , where he received his doctorate in 1936 with the famous geometry specialist Wilhelm Blaschke . In the wake of the Spanish Civil War (he was in the air force of the defeated Republicans) he moved to Argentina in 1939, where he was a professor at various universities, first at the Universidad Nacional del Litoral, where he was Deputy Director of Mathematics under Beppo Levi from 1939 to 1948 Institute was. In 1948 he was 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 has only taught at the latter. He also took on the Argentine citizenship.

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

He received the Prince of Asturias Prize and the Bernardo Houssay Prize from 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 part of 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 education and the history of mathematics in Argentina.

Fonts

  • Historia de la Aeronautica , Buenos Aires 1946
  • with Rey Pastor Geometria integral , Buenos Aires 1951
  • Introduction to Integral Geometry , Paris, Herman 1953
  • La Probabilidad y sas aplicaciones , Buenos Aires 1955
  • 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 Estadistica , 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 tensores con sus aplicaciones , 1977
  • Evolucion de las Ciencias en la Republica Argentina , Volume 1 (Mathematics), Buenos Aires 1975
  • Selected Works , Springer Verlag 2009

Web links

Individual evidence

  1. ↑ During this time he wrote a book on aviation history
  2. ↑ Santaló An affine invariant for a convex body in n-dimensional space (Spanish), Portugaliae Math. 8, 1949, 155–161
  3. ↑ Blaschke On Affine Geometry , Part 7, Reports Sächs. Akad. Wiss. Leipzig, Math.-Phys. Class, Volume 69, 1917, p. 306
  4. ↑ The dimensions are chosen so that the product is dimensionless.
personal data
SURNAME Santaló, Luis
ALTERNATIVE NAMES Santaló Sors, ​​Luis Antonio (full name)
BRIEF DESCRIPTION Argentine-Spanish mathematician
DATE OF BIRTH October 9, 1911
PLACE OF BIRTH Girona
DATE OF DEATH November 22, 2001
Place of death Buenos Aires