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Nonstandard analysis and its applications / Nigel Cutland

Public ISBD Titre : Nonstandard analysis and its applications Type de document : texte imprimé Auteurs : Nigel Cutland (1944-....), Auteur Editeur : Cambridge : Cambridge University Press Année de publication : 1988 Collection : London Mathematical Society student texts, ISSN 0963-1631 num. 10 Importance : 346 p Présentation : graph. Format : 23 cm ISBN/ISSN/EAN : 978-0-521-35109-6 Note générale : Contient les textes de la conférence qui s'est tenue à l'Université de Hull en 1986 Bibliogr. à la fin de chaque chap. Index Langues : Anglais (eng) Mots-clés : an invitation to nonstandard analysis  some asymptotic results in ordinary differential  the boltzmann equation Index. décimale : 515 Résumé : 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 analysis and its applications [texte imprimé] / Nigel Cutland (1944-....), Auteur . - Cambridge : Cambridge University Press, 1988 . - 346 p : graph. ; 23 cm. - (London Mathematical Society student texts, ISSN 0963-1631; 10) . ISBN : 978-0-521-35109-6 Contient les textes de la conférence qui s'est tenue à l'Université de Hull en 1986 Bibliogr. à la fin de chaque chap. Index Langues : Anglais (eng) Mots-clés : an invitation to nonstandard analysis  some asymptotic results in ordinary differential  the boltzmann equation Index. décimale : 515 Résumé : 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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Code-barres	Cote	Support	Localisation	Section	Disponibilité
CF2-003173	515-352.1	Ouvrage	Bibliothèque Centrale	500 - Sciences de la nature et Mathématiques	Exclu du prêt
F2-004254	515-352.2	Ouvrage	Bibliothèque Centrale	500 - Sciences de la nature et Mathématiques	Disponible

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