An Introduction to Smooth Infinitesimal Analysis
Michael O'Connor
TL;DR
This paper introduces smooth infinitesimal analysis, a mathematical framework that uses nilsquare infinitesimals to perform calculus, offering an alternative approach to classical analysis.
Contribution
It provides an exposition of smooth infinitesimal analysis, detailing its principles and how it differs from traditional calculus methods.
Findings
Demonstrates calculus using nilsquare infinitesimals
Provides foundational exposition of smooth infinitesimal analysis
Highlights differences from classical analysis
Abstract
An exposition of smooth infinitesimal analysis, which is a way to do calculus with nilsquare infinitesimals, is given.
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Taxonomy
TopicsMathematical and Theoretical Analysis