Everipedia Logo
Everipedia is now IQ.wiki - Join the IQ Brainlist and our Discord for early access to editing on the new platform and to participate in the beta testing.
Monad (non-standard analysis)

Monad (non-standard analysis)

In non-standard analysis, a monad (also called halo[1]) [2] is the set of points infinitesimally close to a given point.

Given a hyperreal number x in R∗, the monad of x is the set

If x is finite (limited), the unique real number in the monad of x is called the standard part of x.

See also

  • Infinitesimal

References

[1]
Citation Linkopenlibrary.orgGoldblatt, Robert (1998). Lectures on the Hyperreals. Berlin: Springer. ISBN 0-387-98464-X.
Sep 28, 2019, 8:39 PM
[2]
Citation Linkwww.youtube.comNumberPhile
Sep 28, 2019, 8:39 PM
[3]
Citation Linkwww.math.wisc.eduH. Jerome Keisler: Foundations of Infinitesimal Calculus, available for downloading
Sep 28, 2019, 8:39 PM
[4]
Citation Linkwww.youtube.comNumberPhile
Sep 28, 2019, 8:39 PM
[5]
Citation Linkwww.math.wisc.eduH. Jerome Keisler: Foundations of Infinitesimal Calculus, available for downloading
Sep 28, 2019, 8:39 PM
[6]
Citation Linken.wikipedia.orgThe original version of this page is from Wikipedia, you can edit the page right here on Everipedia.Text is available under the Creative Commons Attribution-ShareAlike License.Additional terms may apply.See everipedia.org/everipedia-termsfor further details.Images/media credited individually (click the icon for details).
Sep 28, 2019, 8:39 PM