Nonstandard Analysis
Robinson's hyperreals and applications to analysis.
Nonstandard Analysis. Robinson’s hyperreals and applications to analysis.
Foundations and canonical references
The standard treatments of nonstandard analysis approach the subject from complementary angles. Robinson, Nonstandard Analysis (1996) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for nonstandard analysis include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 1996Nonstandard Analysisrobinson-abraham-1996
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