Nonstandard methods in functional analysis: lectures and notes - Softcover

Ng, Siu-ah

Softcover

ISBN 10: 9814287547 ISBN 13: 9789814287548

Publisher: Wspc, 2010

Synopsis

In the early 1960s, by using techniques from the model theory of first-order logic, Robinson gave a rigorous formulation and extension of Leibniz' infinitesimal calculus. Since then, the methodology has found applications in a wide spectrum of areas in mathematics, with particular success in the probability theory and functional analysis. In the latter, fruitful results were produced with Luxemburg's invention of the nonstandard hull construction. However, there is still no publication of a coherent and self-contained treatment of functional analysis using methods from nonstandard analysis. This publication aims to fill this gap.

About this title

About the Author

Siu-Ah Ng received his PhD in mathematics from the University of Wisconsin, Madison, USA. He has worked in several universities in Asia and Europe. He is now a Professor of Mathematics at the University of KwaZulu-Natal, Pietermaritzburg, South Africa. He has published articles in a variety of fields including logic, nonstandard analysis, stochastic analysis, functional analysis and mathematical finance. Ng has published a previous book with World Scientific, HyperModels in Mathematical Finance (2003).

Review

This well-written book is a self-contained treatment of functional analysis using methods from nonstandard analysis. The book can be used as an excellent text for a one year graduate level course in this subject. -- Mathematical Reviews "Mathematical Reviews"

Edition details

• Publisher: Wspc
• Publication date: 2010
• ISBN 10: 9814287547
• ISBN 13: 9789814287548
• Binding: Paperback
• Language: English
• Number of pages: 338