Selected works
著者
書誌事項
Selected works
Springer, c2009
- タイトル別名
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Selected works of Luis Antonio Santaló
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注記
"Preface by Simon K. Donaldson"
内容説明・目次
内容説明
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.
目次
Preface by Simon K. Donaldson.- A Short Biography.- Scientific Work.- Some Photographs.- L. A. Santalo's Published Work.- List of Santalo'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 Santalo's Papers.- Book Reviews.- On the Correspondence between Santalo and Vidal-Abascal.- Some Remarks on Two Classifications of Santalo's Papers.- Authorization.- Acknowledgments.
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