Luis Santaló
| Luis Santaló | |
|---|---|
| Born |
October 9, 1911 Girona, Spain |
| Died | November 22, 2001 (aged 90) Buenos Aires, Argentina |
| Nationality | Spanish |
| Fields | Mathematics |
| Institutions | University of Buenos Aires |
| Alma mater | University of Hamburg |
| Doctoral advisor |
Wilhelm Blaschke Pedro Pineda |
| Doctoral students |
Graciela Birman Guillermo Keilhauer Ursula Molter |
| Known for | Blaschke–Santaló inequality |
Luís Antoni Santaló Sors (October 9, 1911 – November 22, 2001) was a Spanish mathematician.
He graduated from the University of Madrid and he studied at the University of Hamburg, where he received his Ph.D. in 1936. His advisor was Wilhelm Blaschke. Because of the Spanish Civil War, he moved to Argentina where he became a very famous mathematician.
He studied integral geometry and many other topics of mathematics and science.
He worked as a teacher in the National University of the Littoral, National University of La Plata and University of Buenos Aires.
Luis Santaló published in both English and Spanish:
Chapter I. Metric integral geometry of the plane including densities and the isoperimetric inequality. Ch. II. Integral geometry on surfaces including Blaschke’s formula and the isoperimetric inequality on surfaces of constant curvature. Ch. III. General integral geometry: Lie groups on the plane: central-affine, unimodular affine, projective groups.
I. The Elements of Euclid II. Non-Euclidean geometries III., IV. Projective geometry and conics
V,VI,VII. Hyperbolic geometry: graphic properties, angles and distances, areas and curves. (This text develops the Klein model, the earliest instance of a model.)
VIII. Other models of non-Euclidean geometry
A curious feature of this book on projective geometry is the opening on abstract algebra including laws of composition, group theory, ring theory, fields, finite fields, vector spaces and linear mapping. These seven introductory sections on algebraic structures provide an enhanced vocabulary for the treatment of 15 classical topics of projective geometry. Furthermore sections (14) projectivities with non-commutative fields, (22) quadrics over non-commutative fields, and (26) finite geometries embellish the classical study. The usual topics are covered such as (4) Fundamental theorem of projective geometry, (11) projective plane, (12) cross-ratio, (13) harmonic quadruples, (18) pole and polar, (21) Klein model of non-Euclidean geometry, (22–4) quadrics. Serious and coordinated study of this text is invited by 240 exercises at the end of 25 sections, with solutions on pages 347–65.
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