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infinitesimal
Sign in to saveAlso known as infinitesimal (mathematics)
class=skin-invert-image|450px|thumb|Infinitesimals (ε) and infinities (ω) on the hyperreal number line (ε = 1/ω)
Wikidata facts
- Subclass of
- superreal number
Show 5 more facts
- used by
- calculus
- opposite of
- infinity
- Stack Exchange tag
- matheducators.stackexchange.com/tags/infinitesimals
- described by source
- Brockhaus and Efron Encyclopedic Dictionary
- topic has template
- Template:Infinitesimals
Sources (3)
via Wikidata · CC0
~22 min read
Encyclopedic overview
20 sectionsContents
- History of the infinitesimal
- First-order properties
- Number systems that include infinitesimals
- Formal series
- Laurent series
- The Levi-Civita field
- Transseries
- Surreal numbers
- Hyperreals
- Superreals
- Dual numbers
- Smooth infinitesimal analysis
- Infinitesimal delta functions
- Logical properties
- Infinitesimals in teaching
- Functions tending to zero
- Array of random variables
- See also
- Notes
- References
class=skin-invert-image|450px|thumb|Infinitesimals (ε) and infinities (ω) on the hyperreal number line (ε = 1/ω)
In mathematics, an infinitesimal number is a non-zero quantity that is closer to 0 than any non-zero real number is. The word infinitesimal comes from a 17th-century Modern Latin coinage infinitesimus, which originally referred to the "infinitieth" item in a sequence.
Excerpted from Wikipedia’s “infinitesimal” article, available under the CC BY-SA 4.0 licence.