Under suitable integrability conditions, the integral of a function of two variables over a product space can be computed as an iterated integral, in either order. Named for Guido Fubini, it is a basic tool for evaluating multi-dimensional integrals.
Facts
StatementFubini's theorem gives the conditions under which a double integral can be computed as an iterated integral, integrating one variable at a time. 1 Classification
Statement Form Fubini's Theorem
Filter Results1 entry
Connections
Has Statement Form
In Branch
Principal Result Of
Source Wikipedia: Guido Fubini
Proved By
Source Fubini's Theorem (Wikipedia)
Sources
1. Fubini's Theorem (Wikipedia)
Wikimedia FoundationLead section, opening sentence
Fubini's theorem gives the conditions under which a double integral can be computed as an iterated integral, i.e. by integrating in one variable at a time.
History section
this was proven by Fubini in 1907.
Proved By: Guido Fubini, Lead
The theorem is named after Guido Fubini, who proved a general result in 1907; special cases were known earlier through results such as Cavalieri's principle, which was used by Leonhard Euler.
View the Source Wikipedia: Guido Fubini
Principal Result Of: Guido Fubini, Article textQuote, Principal Result Of: Guido Fubini, Article text
Guido Fubini (19 January 1879-6 June 1943) was an Italian mathematician, known for Fubini's theorem and the Fubini-Study metric.
Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.
Sign in to dispute this or suggest a correction.