Nonstandard Analysis

A topic within Foundations & Logic, itself one of 13 topics in that field and part of Mathematics.

Reading on Nonstandard Analysis

2 works

Book1976

Elementary Calculus: An Infinitesimal Approach

H. Jerome Keisler

Rebuilds single-variable calculus on Abraham Robinson's infinitesimals rather than epsilon-delta limits, arguing Leibniz's intuitive infinitesimal reasoning can be made fully rigorous.

link checked 17 Sept 2026

Mathematics · Foundations & Logic

FreeIntermediate

Paper1961

Non-standard Analysis

Abraham Robinson

Constructs a rigorous extension of the real numbers containing genuine infinitesimals, using model theory to show Leibniz's infinitesimal reasoning can be made as sound as epsilon-delta analysis.

Mathematics · Foundations & Logic

PaidAdvanced

Reading on Nonstandard Analysis

Elementary Calculus: An Infinitesimal Approach

Non-standard Analysis

Other topics in Foundations & Logic