Hello, you have come here looking for the meaning of the word
nonstandard analysis. In DICTIOUS you will not only get to know all the dictionary meanings for the word
nonstandard analysis, but we will also tell you about its etymology, its characteristics and you will know how to say
nonstandard analysis in singular and plural. Everything you need to know about the word
nonstandard analysis you have here. The definition of the word
nonstandard analysis will help you to be more precise and correct when speaking or writing your texts. Knowing the definition of
nonstandard analysis, as well as those of other words, enriches your vocabulary and provides you with more and better linguistic resources.
English
Noun
nonstandard analysis (uncountable)
- (mathematical 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?"”, in mathoverflow.net, retrieved 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.
Translations