# nonstandard analysis

Definition from Wiktionary, the free dictionary

## English[edit]

### Noun[edit]

**nonstandard analysis** (*uncountable*)

- (analysis) Analysis founded upon the hyperreal number system, i.e., which formally defines and uses infinitesimals, especially differentials.
**2010**February 25, Joel David Hamkins, “Answer to "How helpful is non-standard analysis?"”, mathoverflow.net, accessed on 2012-11-13:- 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.

- To be sure, the epsilon-delta methods arose in part because mathematicians became unsure of the foundational validity of infinitesimals. But since