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Field name	Details
Dewey Class	516.1
Title	Non-Connected Convexities and Applications ([EBook] /) / by Gabriela Cristescu, Liana Lupşa.
Author	Cristescu, Gabriela
Added Personal Name	Lupşa, Liana author.
Other name(s)	SpringerLink (Online service)
Publication	Boston, MA : : Springer US : : Imprint: Springer, , 2002.
Physical Details	XX, 368 p. 1 illus. : online resource.
Series	Applied Optimization 1384-6485 ; ; 68
ISBN	9781461500032
Summary Note	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.:
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4615-0003-2
Links to Related Works	Subject References: Approximation theory . Approximations and Expansions . Calculus of variations . Calculus of variations and optimal control; optimization . Convex and Discrete Geometry . Convex geometry . Discrete geometry . Functional Analysis . Mathematical optimization . Mathematics . Optimization . Authors: Cristescu, Gabriela . Lupşa, Liana . Corporate Authors: SpringerLink (Online service) . Series: Applied Optimization . Classification: 516.1 .

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Non-Connected Convexities and Applications

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