Meanings
- uncountablemathematical analysisAnalysis founded upon the hyperreal number system, i.e., which formally defines and uses infinitesimals, especially differentials.
To be sure, the epsilon-delta methods arose in part because mathematicians became unsure of the foundational validity of infinitesimals. But since nonstandard analysis exactly provides the missing legitimacy, the original motivation for adopting epsilon-delta arguments appears to fall away.
2010 February 25, Joel David Hamkins, “Answer to "How helpful is non-standard analysis?"”, in mathoverflow.net, retrieved 13 Nov 2012
Translations
German Nichtstandardanalysis
- NichtstandardanalysisTranslations
Cite this entry
nonstandard analysis. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/nonstandard%20analysis
“nonstandard analysis.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/nonstandard%20analysis. Accessed November 3, 2026.
WatkinsX Dictionary, s.v. “nonstandard analysis,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/nonstandard%20analysis.
Source: nonstandard analysis on Wiktionary, CC BY-SA 4.0.