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Selected Works (English, Spanish, French, Paperback, 1st ed. 2009, Reprint of the 2009 edition)
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Selected Works (English, Spanish, French, Paperback, 1st ed. 2009, Reprint of the 2009 edition)
Series: Springer Collected Works in Mathematics
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Luis Antonio Santalo (Spain 1911 - Argentina 2001) contributed to
several branches of Geometry, his laying of the mathematical
foundations of Stereology and its applications perhaps being his
most outstanding achievement. A considerable power of abstraction,
a brilliant geometric intuition and an outstanding gift as a
disseminator of science were among his virtues. The present volume
contains a selection of his best papers. Part I consists of a short
biography and some photographs together with a complete list of his
publications, classified into research papers, books, and articles
on education and the popularization of mathematics, as well as a
comprehensive analysis of his contribution to science. Part II, the
main part of the book, includes selected papers, arranged into five
sections according to the nature of their contents: Differential
Geometry, Integral Geometry, Convex Geometry, Affine Geometry, and
Statistics and Stereology. Each section is preceded by a commentary
by a renowned specialist: Teufel, Langevin, Schneider, Leichtweiss,
and Cruz-Orive, respectively. Finally, Part III emphasizes the
influence of his work. It contains commentaries by several
specialists regarding modern results based on, or closely related
to, those of Santalo, some book reviews written by Santalo, as well
as some reviews of his books. As a curious addendum, a ranking of
his articles, given by Santalo himself, is included.
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