Synopsis
Simple Nonstandard Analysis and Applications.- An Introduction to General Nonstandard Analysis.- Topology and Measure Theory.- Banach Spaces and Linear Operators.- General and End Compactifications.- Measure theory and integration.- Stochastic Analysis.- New Understanding of Stochastic Independence.- Nonstandard Analysis in Mathematical Economics.- Density Problems and Freiman's Inverse Problem.- Hypernatural numbers as ultrafilters.
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Nonstandard Analysis for the Working Mathematician (eng)
impression à la demandeVendeur : Brook Bookstore On Demand, Napoli, NA, Italie
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Nonstandard Analysis for the Working Mathematician (Hardcover)
Edité par
Springer, Dordrecht, 2015
ISBN 10 : 9401773262
ISBN 13 : 9789401773263
Neuf
Couverture rigide
Vendeur : Grand Eagle Retail, Bensenville, IL, Etats-Unis
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Hardcover. Etat : new. Hardcover. Starting with a simple formulation accessible to all mathematicians, this second edition is designed to provide a thorough introduction to nonstandard analysis. Nonstandard analysis is now a well-developed, powerful instrument for solving open problems in almost all disciplines of mathematics; it is often used as a secret weapon by those who know the technique.This book illuminates the subject with some of the most striking applications in analysis, topology, functional analysis, probability and stochastic analysis, as well as applications in economics and combinatorial number theory. The first chapter is designed to facilitate the beginner in learning this technique by starting with calculus and basic real analysis. The second chapter provides the reader with the most important tools of nonstandard analysis: the transfer principle, Keislers internal definition principle, the spill-over principle, and saturation. The remaining chapters of the book study different fields for applications; each begins with a gentle introduction before then exploring solutions to open problems.All chapters within this second edition have been reworked and updated, with several completely new chapters on compactifications and number theory. Nonstandard Analysis for the Working Mathematician will be accessible to both experts and non-experts, and will ultimately provide many new and helpful insights into the enterprise of mathematics. it is often used as a secret weapon by those who know the technique.This book illuminates the subject with some of the most striking applications in analysis, topology, functional analysis, probability and stochastic analysis, as well as applications in economics and combinatorial number theory. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9789401773263
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Nonstandard Analysis for the Working Mathematician
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Nonstandard Analysis for the Working Mathematician
Edité par
Springer, Springer Sep 2015, 2015
ISBN 10 : 9401773262
ISBN 13 : 9789401773263
Neuf
Couverture rigide
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Starting with a simple formulation accessible to all mathematicians, this second edition is designed to provide a thorough introduction to nonstandard analysis. Nonstandard analysis is now a well-developed, powerful instrument for solving open problems in almost all disciplines of mathematics; it is often used as a 'secret weapon' by those who know the technique.This book illuminates the subject with some of the most striking applications in analysis, topology, functional analysis, probability and stochastic analysis, as well as applications in economics and combinatorial number theory. The first chapter is designed to facilitate the beginner in learning this technique by starting with calculus and basic real analysis. The second chapter provides the reader with the most important tools of nonstandard analysis: the transfer principle, Keisler's internal definition principle, the spill-over principle, and saturation. The remaining chapters of the book study different fields for applications; each begins with a gentle introduction before then exploring solutions to open problems.All chapters within this second edition have been reworked and updated, with several completely new chapters on compactifications and number theory. Nonstandard Analysis for the Working Mathematician will be accessible to both experts and non-experts, and will ultimately provide many new and helpful insights into the enterprise of mathematics. 500 pp. Englisch. N° de réf. du vendeur 9789401773263
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Nonstandard Analysis for the Working Mathematician
Edité par
Springer Netherlands, 2015
ISBN 10 : 9401773262
ISBN 13 : 9789401773263
Neuf
Couverture rigide
Vendeur : moluna, Greven, Allemagne
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Presents the version of nonstandard analysis that has had the greatest success and the widest scope of applicationsIncludes some of the most recent applications in various fields of mathematical analysis and probabilityEach chapter, coverin. N° de réf. du vendeur 35410908
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Nonstandard Analysis for the Working Mathematician
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Nonstandard Analysis for the Working Mathematician
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Nonstandard Analysis for the Working Mathematician
impression à la demandeVendeur : Biblios, Frankfurt am main, HESSE, Allemagne
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Nonstandard Analysis for the Working Mathematician
Edité par
Springer, Springer Sep 2015, 2015
ISBN 10 : 9401773262
ISBN 13 : 9789401773263
Neuf
Couverture rigide
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Buch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -Starting with a simple formulation accessible to all mathematicians, this second edition is designed to provide a thorough introduction to nonstandard analysis. Nonstandard analysis is now a well-developed, powerful instrument for solving open problems in almost all disciplines of mathematics; it is often used as a ¿secret weapon¿ by those who know the technique.This book illuminates the subject with some of the most striking applications in analysis, topology, functional analysis, probability and stochastic analysis, as well as applications in economics and combinatorial number theory. The first chapter is designed to facilitate the beginner in learning this technique by starting with calculus and basic real analysis. The second chapter provides the reader with the most important tools of nonstandard analysis: the transfer principle, Keisler¿s internal definition principle, the spill-over principle, and saturation. The remaining chapters of the book study different fields for applications; each begins with a gentle introduction before then exploring solutions to open problems.All chapters within this second edition have been reworked and updated, with several completely new chapters on compactifications and number theory. Nonstandard Analysis for the Working Mathematician will be accessible to both experts and non-experts, and will ultimately provide many new and helpful insights into the enterprise of mathematics.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 500 pp. Englisch. N° de réf. du vendeur 9789401773263
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Nonstandard Analysis for the Working Mathematician
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