Spanish mathematician
In this
Spanish name , the first or paternal
surname is
Santaló and the second or maternal family name is
Sors .
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 as a professor in the National University of the Littoral , National University of La Plata and University of Buenos Aires .
His work with Blaschke on convex sets [ 1] is now cited in its connection with Mahler volume . Blaschke and Santaló also collaborated on integral geometry . Santaló wrote textbooks in Spanish on non-Euclidean geometry , projective geometry , and tensors .
Works
Luis Santaló published in both English and Spanish:
Introduction to Integral Geometry (1953)
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.
Geometrias no Euclidianas (1961)
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
Geometria proyectiva (1966)
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.
Integral Geometry and Geometric Probability (1976)[ 2]
Amplifies and extends the 1953 text.
For instance, in Chapter 19, he notes “Trends in Integral Geometry” and includes “The integral geometry of Gelfand ” (p. 345) which involves inverting the Radon transform .
Vectores y tensores con sus aplicaciones (1977)
Includes standard vector algebra, vector analysis , introduction to tensor fields and Riemannian manifolds , geodesic curves, curvature tensor and general relativity to Schwarzschild metric . Exercises distributed at an average rate of ten per section enhance the 36 instructional sections. Solutions are found on pages 343–64.
See also
References
Santaló, Luis Antonio (2009), Naveira, Antonio M.; Reventós, Agustí; Birman, Graciela S.; et al. (eds.), Luis Antonio Santaló selected works , Berlin, New York: Springer-Verlag , ISBN 978-3-540-89580-0 , MR 2547470
External links
Prince of Asturias Award for Technical and Scientific Research
1981: Alberto Sols
1982: Manuel Ballester
1983: Luis Antonio Santaló Sors
1984: Antonio Garcia-Bellido
1985: David Vázquez Martínez and Emilio Rosenblueth
1986: Antonio González González
1987: Jacinto Convit and Pablo Rudomín
1988: Manuel Cardona and Marcos Moshinsky
1989: Guido Münch
1990: Santiago Grisolía and Salvador Moncada
1991: Francisco Bolívar Zapata
1992: Federico García Moliner
1993: Amable Liñán
1994: Manuel Patarroyo
1995: Manuel Losada Villasante and Instituto Nacional de Biodiversidad of Costa Rica
1996: Valentín Fuster
1997: Atapuerca research team
1998: Emilio Méndez Pérez and Pedro Miguel Echenique Landiríbar
1999: Ricardo Miledi and Enrique Moreno González
2000: Robert Gallo and Luc Montagnier
2001: Craig Venter , John Sulston , Francis Collins , Hamilton Smith , and Jean Weissenbach
2002: Lawrence Roberts , Robert E. Kahn , Vinton Cerf , and Tim Berners-Lee
2003: Jane Goodall
2004: Judah Folkman , Tony Hunter , Joan Massagué , Bert Vogelstein , and Robert Weinberg
2005: Antonio Damasio
2006: Juan Ignacio Cirac
2007: Peter Lawrence and Ginés Morata
2008: Sumio Iijima , Shuji Nakamura , Robert Langer , George M. Whitesides , and Tobin Marks
2009: Martin Cooper and Raymond Tomlinson
2010: David Julius , Baruch Minke , and Linda Watkins
2011: Joseph Altman , Arturo Álvarez-Buylla , and Giacomo Rizzolatti
2012: Gregory Winter and Richard A. Lerner
2013: Peter Higgs , François Englert , and European Organization for Nuclear Research CERN
2014: Avelino Corma Canós , Mark E. Davis , and Galen D. Stucky
Princess of Asturias Award for Technical and Scientific Research
2015: Emmanuelle Charpentier and Jennifer Doudna
2016: Hugh Herr
2017: Rainer Weiss , Kip S. Thorne , Barry C. Barish , and the LIGO Scientific Collaboration
2018: Svante Pääbo
2019: Joanne Chory and Sandra Myrna Díaz
2020: Yves Meyer , Ingrid Daubechies , Terence Tao , and Emmanuel Candès
2021: Katalin Karikó , Drew Weissman , Philip Felgner , Uğur Şahin , Özlem Türeci , Derrick Rossi , and Sarah Gilbert
2022: Geoffrey Hinton , Yann LeCun , Yoshua Bengio , and Demis Hassabis
2023: Jeffrey I. Gordon , Everett Peter Greenberg , and Bonnie Bassler
2024: Daniel J. Drucker , Jeffrey M. Friedman , Joel F. Habener , Jens Juul Holst , and Svetlana Mojsov
International National Academics People Other