Nonstandard Analysis: A Practical Guide with Applications
β Scribed by Robert Lutz, Michel Goze (auth.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Year
- 1981
- Tongue
- English
- Leaves
- 274
- Series
- Lecture Notes in Mathematics 881
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Elementary practice of non standard analysis....Pages 1-37
Logical foundations of nonβStandard analysis....Pages 38-79
Some classical topics from a nonβStandard point of view....Pages 80-125
Non standard analysis as a tool in perturbation problems....Pages 126-252
β¦ Subjects
Analysis
π SIMILAR VOLUMES
Geared toward upper-level undergraduates and graduate students, this text explores the applications of nonstandard analysis without assuming any knowledge of mathematical logic. It develops the key techniques of nonstandard analysis at the outset from a single, powerful construction; then, beginning
<p>The purpose of this book is to provide an effective introduction to nonstandard methods. A short tutorial giving the necessary background, is followed by applications to various domains, independent from each other. These include complex dynamical systems, stochastic differential equations, smoot
<p>1 More than thirty years after its discovery by Abraham Robinson , the ideas and techniques of Nonstandard Analysis (NSA) are being applied across the whole mathematical spectrum,as well as constituting an imΒ portant field of research in their own right. The current methods of NSA now greatly ex