Non-Connected Convexities and Applications / by Gabriela Cristescu, Liana Lupşa
(Applied Optimization ; 68)
| データ種別 | 電子ブック |
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| 出版情報 | Boston, MA : Springer US : Imprint: Springer , 2002 |
| 本文言語 | 英語 |
| 大きさ | XX, 368 p. 1 illus : online resource |
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| 一般注記 | Lectori salutem! The kind reader opens the book that its authors would have liked to read it themselves, but it was not written yet. Then, their only choice was to write this book, to fill a gap in the mathematicalliterature. The idea of convexity has appeared in the human mind since the antiquity and its fertility has led to a huge diversity of notions and of applications. A student intending a thoroughgoing study of convexity has the sensation of swimming into an ocean. It is due to two reasons: the first one is the great number of properties and applications of the classical convexity and second one is the great number of generalisations for various purposes. As a consequence, a tendency of writing huge books guiding the reader in convexity appeared during the last twenty years (for example, the books of P. M. Gruber and J. M. Willis (1993) and R. J. Webster (1994)). Another last years' tendency is to order, from some point of view, as many convexity notions as possible (for example, the book of I. Singer (1997)). These approaches to the domain of convexity follow the previous point of view of axiomatizing it (A. Ghika (1955), W. Prenowitz (1961), D. Voiculescu (1967), V. W. Bryant and R. J. Webster (1969)). Following this last tendency, our book proposes to the reader two classifications of convexity properties for sets, both of them starting from the internal mechanism of defining them |
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| 著者標目 | *Cristescu, Gabriela author Lupşa, Liana author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Approximation theory LCSH:Functional analysis LCSH:Convex geometry LCSH:Discrete geometry LCSH:Mathematical optimization LCSH:Calculus of variations FREE:Mathematics FREE:Convex and Discrete Geometry FREE:Approximations and Expansions FREE:Functional Analysis FREE:Calculus of Variations and Optimal Control; Optimization FREE:Optimization |
| 分 類 | DC23:516.1 |
| 巻冊次 | ISBN:9781461500032 
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| ISBN | 9781461500032 |
| URL | http://dx.doi.org/10.1007/978-1-4615-0003-2 |
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