Luis Antonio Santaló

Selected Works

Herausgegeben:Naveira, Antonio M.; Reventós, Augustí;Mitarbeit:Birman, Graciela S.; Gual-Arnau, Ximo; Donaldson, Simon K.

• Broschiertes Buch

Produktbeschreibung

Luis Antonio Santaló (Spain 1911 - Argentina 2001) contributed to several branches of Geometry, perhaps his most outstanding achievement being his having laid the mathematical foundations of Stereology and its applications. Considerable power of abstraction, a brilliant geometric intuition and his outstanding gifts 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 along 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 the selected papers, arranged in 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 comment by a renowned specialist: Teufel, Langevin, Schneider, Leichtweiss, and Cruz-Orive respectively.

Finally, Part III emphasizes the influence of his work. It contains comments by several specialists about modern results based on, or closely related to, those of Santaló, some book reviews written by Santaló, as well as some reviews of his books. As a curious addendum, a ranking of his own articles, given by Santaló himself, is included.

Produktdetails

• Springer Collected Works in Mathematics
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-662-53237-9
• 1st ed. 2009, Repr. of the 2009 ed.
• Seitenzahl: 868
• Erscheinungstermin: 23. März 2017
• Englisch, Französisch, Spanisch
• Abmessung: 235mm x 155mm x 47mm
• Gewicht: 1265g
• ISBN-13: 9783662532379
• ISBN-10: 3662532379
• Artikelnr.: 45343004

Inhaltsangabe

Preface by Simon K. Donaldson.- A Short Biography.- Scientific Work.- Some Photographs.- L. A. Santaló's Published Work.- List of Santaló's Papers Included in the Selection.- Selected Papers: Part I. Differential Geometry, with comments by E. Teufel.- Part II. Integral Geometry, with comments by R. Langevin.- Part III. Convex Geometry, with comments by R. Schneider.- Part IV. Affine Geometry, with comments by K. Leichtweiss.- Part V. Satistics and Stereology, with comments by L. M.. Cruz-Orive.- Coments on Some of Santaló's Papers.- Book Reviews.- On the Correspondence between Santaló and Vidal-Abascal.- Some Remarks on Two Classifications of Santaló's Papers.- Authorization.- Acknowledgments.