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Theorem

Budan's Theorem

Algebra

Budan's theorem, published in 1807 by Francois Budan de Boislaurent, is a result in mathematics that bounds the number of real roots of a polynomial within a given interval and determines the parity of that count.

Facts
Statement
Budan's theorem is a theorem for bounding the number of real roots of a polynomial in an interval, and computing the parity of this number. 1
Proof Year
1807 1
Classification
Statement Form
Inequality 1
Connections

Has Statement Form

Inequality, Concepts

In Branch

Source Budan's theorem - Wikipedia

Proved By

Source Budan's theorem - Wikipedia
Source Budan's theorem - Wikipedia
Sources
1. Budan's theorem - Wikipedia
  • Lead paragraph, sentence 1
    Budan's theorem is a theorem for bounding the number of real roots of a polynomial in an interval, and computing the parity of this number.
  • Lead section
    It was published in 1807 by François Budan de Boislaurent.
  • In Branch: Algebra, Lead
    Budan's theorem is a theorem for bounding the number of real roots of a polynomial in an interval
  • Proved By: François Budan de Boislaurent, Lead sentence, attribution
    It was published in 1807 by François Budan de Boislaurent
  • Proved By: Joseph Fourier, Lead sentence, attribution
    published independently by Joseph Fourier in 1820
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