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Nonstandard Analysis and its Applications : London Mathematical Society Student Texts - Nigel Cutland

Nonstandard Analysis and its Applications

London Mathematical Society Student Texts

Paperback

Published: 12th December 1988
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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.

Preface
Contributors
An invitation to non standard analysis
Infinitesimal in probability theory
Infinitesimals in functional analysis
Applications of non standard analysis in mathematical physics
A lattice formulation of real and vector valued integrals
An application of non standard methods to computational group theory
Syntactical methods in infinitesimal analysis Francine
Some asymptotic results in ordinary differential equations
Superinfinitesimals and inductive limits
The non-linear boltzmann equation far from equilibrium
Index.
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521359474
ISBN-10: 0521359473
Series: London Mathematical Society Student Texts
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 364
Published: 12th December 1988
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 2.06
Weight (kg): 0.53