Nonstandard Analysis - A Simplified Approach

Details Nonstandard Analysis - A Simplified Approach Nonstandard Analysis - A Simplified Approach

2003-10-22

arxiv.org/abs/math/0310351v6

Mathematics

General Mathematics

Plain Tex, 82 pages. In this version, a few necessary corrections are made and exposition is improved throughout the version

Scientific paper

In this monograph, nonstandard characteristics for many notions from real
analysis are obtained and applied. However, only two simple types of atomic
formula are used and almost all of the characteristics are shown to hold for a
simple ultrapower styled structure generated by any free ultrafilter over the
natural numbers.

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