Nonstandard analysis and its applications:
This textbook is an introduction to non-standard analysis and to its many applications. Non standard analysis (NSA) is a subject of great research interest both in its own right and as a tool for answering questions in subjects such as functional analysis, probability, mathematical physics and topol...
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Weitere Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge
Cambridge University Press
1988
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Schriftenreihe: | London Mathematical Society student texts
10 |
Schlagworte: | |
Online-Zugang: | BSB01 FHN01 UBR01 Volltext |
Zusammenfassung: | This textbook is an introduction to non-standard analysis and to its many applications. Non standard analysis (NSA) is a subject of great research interest both in its own right and as a tool for answering questions in subjects such as functional analysis, probability, mathematical physics and topology. The book arises from a conference held in July 1986 at the University of Hull which was designed to provide both an introduction to the subject through introductory lectures, and surveys of the state of research. The first part of the book is devoted to the introductory lectures and the second part consists of presentations of applications of NSA to dynamical systems, topology, automata and orderings on words, the non- linear Boltzmann equation and integration on non-standard hulls of vector lattices. One of the book's attractions is that a standard notation is used throughout so the underlying theory is easily applied in a number of different settings. Consequently this book will be ideal for graduate students and research mathematicians coming to the subject for the first time and it will provide an attractive and stimulating account of the subject |
Beschreibung: | 1 Online-Ressource (xiii, 346 Seiten) |
ISBN: | 9781139172110 |
DOI: | 10.1017/CBO9781139172110 |
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520 | |a This textbook is an introduction to non-standard analysis and to its many applications. Non standard analysis (NSA) is a subject of great research interest both in its own right and as a tool for answering questions in subjects such as functional analysis, probability, mathematical physics and topology. The book arises from a conference held in July 1986 at the University of Hull which was designed to provide both an introduction to the subject through introductory lectures, and surveys of the state of research. The first part of the book is devoted to the introductory lectures and the second part consists of presentations of applications of NSA to dynamical systems, topology, automata and orderings on words, the non- linear Boltzmann equation and integration on non-standard hulls of vector lattices. One of the book's attractions is that a standard notation is used throughout so the underlying theory is easily applied in a number of different settings. Consequently this book will be ideal for graduate students and research mathematicians coming to the subject for the first time and it will provide an attractive and stimulating account of the subject | ||
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Datensatz im Suchindex
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author2 | Cutland, Nigel 1944- |
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author_GND | (DE-588)171430638 |
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dewey-full | 519.4 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 519 - Probabilities and applied mathematics |
dewey-raw | 519.4 |
dewey-search | 519.4 |
dewey-sort | 3519.4 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1017/CBO9781139172110 |
format | Electronic eBook |
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genre_facet | Konferenzschrift |
id | DE-604.BV043941101 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:39:14Z |
institution | BVB |
isbn | 9781139172110 |
language | English |
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physical | 1 Online-Ressource (xiii, 346 Seiten) |
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publishDate | 1988 |
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series2 | London Mathematical Society student texts |
spelling | Nonstandard analysis and its applications edited by Nigel Cutland Nonstandard Analysis & its Applications Cambridge Cambridge University Press 1988 1 Online-Ressource (xiii, 346 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 10 This textbook is an introduction to non-standard analysis and to its many applications. Non standard analysis (NSA) is a subject of great research interest both in its own right and as a tool for answering questions in subjects such as functional analysis, probability, mathematical physics and topology. The book arises from a conference held in July 1986 at the University of Hull which was designed to provide both an introduction to the subject through introductory lectures, and surveys of the state of research. The first part of the book is devoted to the introductory lectures and the second part consists of presentations of applications of NSA to dynamical systems, topology, automata and orderings on words, the non- linear Boltzmann equation and integration on non-standard hulls of vector lattices. One of the book's attractions is that a standard notation is used throughout so the underlying theory is easily applied in a number of different settings. Consequently this book will be ideal for graduate students and research mathematicians coming to the subject for the first time and it will provide an attractive and stimulating account of the subject Nonstandard mathematical analysis / Congresses Nonstandard-Analysis (DE-588)4137021-1 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Nonstandard-Analysis (DE-588)4137021-1 s DE-604 Cutland, Nigel 1944- (DE-588)171430638 edt Erscheint auch als Druck-Ausgabe 978-0-521-35109-6 Erscheint auch als Druck-Ausgabe 978-0-521-35947-4 https://doi.org/10.1017/CBO9781139172110 Verlag URL des Erstveröffentlichers Volltext |
spellingShingle | Nonstandard analysis and its applications Nonstandard mathematical analysis / Congresses Nonstandard-Analysis (DE-588)4137021-1 gnd |
subject_GND | (DE-588)4137021-1 (DE-588)1071861417 |
title | Nonstandard analysis and its applications |
title_alt | Nonstandard Analysis & its Applications |
title_auth | Nonstandard analysis and its applications |
title_exact_search | Nonstandard analysis and its applications |
title_full | Nonstandard analysis and its applications edited by Nigel Cutland |
title_fullStr | Nonstandard analysis and its applications edited by Nigel Cutland |
title_full_unstemmed | Nonstandard analysis and its applications edited by Nigel Cutland |
title_short | Nonstandard analysis and its applications |
title_sort | nonstandard analysis and its applications |
topic | Nonstandard mathematical analysis / Congresses Nonstandard-Analysis (DE-588)4137021-1 gnd |
topic_facet | Nonstandard mathematical analysis / Congresses Nonstandard-Analysis Konferenzschrift |
url | https://doi.org/10.1017/CBO9781139172110 |
work_keys_str_mv | AT cutlandnigel nonstandardanalysisanditsapplications AT cutlandnigel nonstandardanalysisitsapplications |