Non-Connected Convexities and Applications:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Boston, MA
Springer US
2002
|
Schriftenreihe: | Applied Optimization
68 |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | 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 |
Beschreibung: | 1 Online-Ressource (XX, 368 p) |
ISBN: | 9781461500032 9781461348818 |
ISSN: | 1384-6485 |
DOI: | 10.1007/978-1-4615-0003-2 |
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500 | |a 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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Datensatz im Suchindex
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any_adam_object | |
author | Cristescu, Gabriela |
author_facet | Cristescu, Gabriela |
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dewey-ones | 516 - Geometry |
dewey-raw | 516.1 |
dewey-search | 516.1 |
dewey-sort | 3516.1 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-1-4615-0003-2 |
format | Electronic eBook |
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illustrated | Not Illustrated |
indexdate | 2024-07-10T01:21:07Z |
institution | BVB |
isbn | 9781461500032 9781461348818 |
issn | 1384-6485 |
language | English |
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series2 | Applied Optimization |
spelling | Cristescu, Gabriela Verfasser aut Non-Connected Convexities and Applications by Gabriela Cristescu, Liana Lupşa Boston, MA Springer US 2002 1 Online-Ressource (XX, 368 p) txt rdacontent c rdamedia cr rdacarrier Applied Optimization 68 1384-6485 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 Mathematics Functional analysis Discrete groups Mathematical optimization Convex and Discrete Geometry Approximations and Expansions Functional Analysis Calculus of Variations and Optimal Control; Optimization Optimization Mathematik Lupşa, Liana Sonstige oth https://doi.org/10.1007/978-1-4615-0003-2 Verlag Volltext |
spellingShingle | Cristescu, Gabriela Non-Connected Convexities and Applications Mathematics Functional analysis Discrete groups Mathematical optimization Convex and Discrete Geometry Approximations and Expansions Functional Analysis Calculus of Variations and Optimal Control; Optimization Optimization Mathematik |
title | Non-Connected Convexities and Applications |
title_auth | Non-Connected Convexities and Applications |
title_exact_search | Non-Connected Convexities and Applications |
title_full | Non-Connected Convexities and Applications by Gabriela Cristescu, Liana Lupşa |
title_fullStr | Non-Connected Convexities and Applications by Gabriela Cristescu, Liana Lupşa |
title_full_unstemmed | Non-Connected Convexities and Applications by Gabriela Cristescu, Liana Lupşa |
title_short | Non-Connected Convexities and Applications |
title_sort | non connected convexities and applications |
topic | Mathematics Functional analysis Discrete groups Mathematical optimization Convex and Discrete Geometry Approximations and Expansions Functional Analysis Calculus of Variations and Optimal Control; Optimization Optimization Mathematik |
topic_facet | Mathematics Functional analysis Discrete groups Mathematical optimization Convex and Discrete Geometry Approximations and Expansions Functional Analysis Calculus of Variations and Optimal Control; Optimization Optimization Mathematik |
url | https://doi.org/10.1007/978-1-4615-0003-2 |
work_keys_str_mv | AT cristescugabriela nonconnectedconvexitiesandapplications AT lupsaliana nonconnectedconvexitiesandapplications |