infinitesimal
Sign in to saveclass=skin-invert-image|450px|thumb|Infinitesimals (ε) and infinities (ω) on the hyperreal number line (ε = 1/ω)
Article
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.