Nonstandard Analysis - A Practical Guide with Applications

Description

This book is intended to enable the reader to use Non Standard Analysis by himself without fear, at any level of mathematical practice, from undergraduate analysis to important research areas.

The style of the book is rather non linear. Every lesson - some readers may wonder at this old-fashioned word, but we like its flavour - is focused on an essential information ; various comments, including proofs if necessary, invite the reader to ponder over this information in the light of his growing nonstandard knowledge. Some exercises sprinkle the text and there are topics to be developed. A small glossary collects the terms which play some part in the book.

Table of Contents:
1. Elementary Practice Of Non-Standard Analysis
2. Logical Foundations Of Non-Standard Analysis
3. Some Classical Topics From A Non-Standard Point Of View
4. Non Standard Analysis As A Tool In Perturbation Problems

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