Nonstandard analysis and its applications [EBook] / edited by Nigel Cutland.
Nonstandard analysis and its applications [EBook] / edited by Nigel Cutland.
This textbook is an introduction to nonstandard 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...
Personal Name(s):  Cutland, Nigel, (editor) 

Imprint: 
Cambridge :
Cambridge University Press,
1988

Physical Description: 
1 online resource (xiii, 346 pages) 
Note: 
englisch 
ISBN: 
9781139172110 9780521351096 9780521359474 
Series Title: 
London Mathematical Society student texts ;
10 
Subject (LOC):  
Full Text 
This textbook is an introduction to nonstandard 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 nonstandard 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. 