Index Analysis: Approach Theory at Work - Couverture souple
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Synopsis
The featured review of the AMS describes the author’s earlier work in the field of approach spaces as, ‘A landmark in the history of general topology’. In this book, the author has expanded this study further and taken it in a new and exciting direction.
The number of conceptually and technically different systems which characterize approach spaces is increased and moreover their uniform counterpart, uniform gauge spaces, is put into the picture. An extensive study of completions, both for approach spaces and for uniform gauge spaces, as well as compactifications for approach spaces is performed. A paradigm shift is created by the new concept of index analysis.
Making use of the rich intrinsic quantitative information present in approach structures, a technique is developed whereby indices are defined that measure the extent to which properties hold, and theorems become inequalities involving indices; therefore vastly extending the realm of applicability of many classical results. The theory is then illustrated in such varied fields as topology, functional analysis, probability theory, hyperspace theory and domain theory. Finally a comprehensive analysis is made concerning the categorical aspects of the theory and its links with other topological categories.
Index Analysis will be useful for mathematicians working in category theory, topology, probability and statistics, functional analysis, and theoretical computer science.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
Robert Lowen is an author of more than 140 journal publications and four books, Promotor of 16 PhD theses, Founding Editor and Editor-in-Chief of Applied Categorical Structures, Associate Editor of 3 other mathematical journals, Member of the Scientific Committees of national and several international Science Foundations.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Index Analysis: Approach Theory at Work (Springer Monographs in Mathematics)
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Index Analysis
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Springer London Sep 2016, 2016
ISBN 10 : 1447172663
ISBN 13 : 9781447172666
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The featured review of the AMS describes the author's earlier work in the field of approach spaces as, 'A landmark in the history of general topology'. In this book, the author has expanded this study further and taken it in a new and exciting direction.The number of conceptually and technically different systems which characterize approach spaces is increased and moreover their uniform counterpart, uniform gauge spaces, is put into the picture. An extensive study of completions, both for approach spaces and for uniform gauge spaces, as well as compactifications for approach spaces is performed. A paradigm shift is created by the new concept of index analysis.Making use of the rich intrinsic quantitative information present in approach structures, a technique is developed whereby indices are defined that measure the extent to which properties hold, and theorems become inequalities involving indices; therefore vastly extending the realm of applicability of many classical results. The theory is then illustrated in such varied fields as topology, functional analysis, probability theory, hyperspace theory and domain theory. Finally a comprehensive analysis is made concerning the categorical aspects of the theory and its links with other topological categories.Index Analysis will be useful for mathematicians working in category theory, topology, probability and statistics, functional analysis, and theoretical computer science. 488 pp. Englisch. N° de réf. du vendeur 9781447172666
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Index Analysis: Approach Theory at Work
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Index Analysis (eng)
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Index Analysis
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Provides a self-contained introduction to approach theory and index analysisPresents applications to topology, functional analysis, probability, hyperspaces and domainsIncludes a thorough analysis of the categorical setup of the theory. N° de réf. du vendeur 447761822
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Index Analysis
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Springer London, Springer London Sep 2016, 2016
ISBN 10 : 1447172663
ISBN 13 : 9781447172666
Neuf
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Taschenbuch. Etat : Neu. Neuware -The featured review of the AMS describes the author¿s earlier work in the field of approach spaces as, ¿A landmark in the history of general topology¿. In this book, the author has expanded this study further and taken it in a new and exciting direction.The number of conceptually and technically different systems which characterize approach spaces is increased and moreover their uniform counterpart, uniform gauge spaces, is put into the picture. An extensive study of completions, both for approach spaces and for uniform gauge spaces, as well as compactifications for approach spaces is performed. A paradigm shift is created by the new concept of index analysis.Making use of the rich intrinsic quantitative information present in approach structures, a technique is developed whereby indices are defined that measure the extent to which properties hold, and theorems become inequalities involving indices; therefore vastly extending the realm of applicability of many classical results. The theory is then illustrated in such varied fields as topology, functional analysis, probability theory, hyperspace theory and domain theory. Finally a comprehensive analysis is made concerning the categorical aspects of the theory and its links with other topological categories.Index Analysis will be useful for mathematicians working in category theory, topology, probability and statistics, functional analysis, and theoretical computer science.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 488 pp. Englisch. N° de réf. du vendeur 9781447172666
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Index Analysis | Approach Theory at Work
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Taschenbuch. Etat : Neu. Index Analysis | Approach Theory at Work | R. Lowen | Taschenbuch | xxi | Englisch | 2016 | Springer | EAN 9781447172666 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. N° de réf. du vendeur 103163798
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - The featured review of the AMS describes the author's earlier work in the field of approach spaces as, 'A landmark in the history of general topology'. In this book, the author has expanded this study further and taken it in a new and exciting direction.The number of conceptually and technically different systems which characterize approach spaces is increased and moreover their uniform counterpart, uniform gauge spaces, is put into the picture. An extensive study of completions, both for approach spaces and for uniform gauge spaces, as well as compactifications for approach spaces is performed. A paradigm shift is created by the new concept of index analysis.Making use of the rich intrinsic quantitative information present in approach structures, a technique is developed whereby indices are defined that measure the extent to which properties hold, and theorems become inequalities involving indices; therefore vastly extending the realm of applicability of many classical results. The theory is then illustrated in such varied fields as topology, functional analysis, probability theory, hyperspace theory and domain theory. Finally a comprehensive analysis is made concerning the categorical aspects of the theory and its links with other topological categories.Index Analysis will be useful for mathematicians working in category theory, topology, probability and statistics, functional analysis, and theoretical computer science. N° de réf. du vendeur 9781447172666
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Index Analysis: Approach Theory at Work (Springer Monographs in Mathematics)
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Springer, 2016
ISBN 10 : 1447172663
ISBN 13 : 9781447172666
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