15 citations · 52 across the 25 of their papers we have counts for
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math.GM2003★ 2 cited
Nonstandard Analysis Applied to Advanced Undergraduate Mathematics - Infinitesimal Modeling
Robert A. Herrmann
This is a Research and Instructional Development Project from the U. S. Naval Academy. In this monograph, the basic methods of nonstandard analysis for n-dimensional Euclidean spac…
math.GM2003★ 2 cited
Nonstandard Analysis Applied to Special and General Relativity - The Theory of Infinitesimal Light-Clocks
Robert A. Herrmann
Nonstandard analysis and electromagnetic propagation properties are used to derive all of the fundamental results for the Special Theory of Relativity. Infinitesimal modeling via i…
math.GM2003★ 3 cited
Nonstandard Analysis - A Simplified Approach
Robert A. Herrmann
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 al…