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MAA245 NUMBERS 1 Natural Numbers, N
MAA245 NUMBERS 1 Natural Numbers, N

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A New Representation for Exact Real Numbers
A New Representation for Exact Real Numbers

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CHAP06 Ruler and Compass Constructions

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MATH160/101 Algebra Outline Notes. Buy hardcopy from Uni

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Real Numbers

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REMARKS ON ALGEBRAIC GEOMETRY 1. Algebraic varieties

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Fractions

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The classification of 231-avoiding permutations by descents and

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Vincent's theorem

In mathematics, Vincent's theorem—named after Alexandre Joseph Hidulphe Vincent—is a theorem that isolates the real roots of polynomials with rational coefficients.Even though Vincent's theorem is the basis of the fastest method for the isolation of the real roots of polynomials, it was almost totally forgotten, having been overshadowed by Sturm's theorem; consequently, it does not appear in any of the classical books on the theory of equations (of the 20th century), except for Uspensky's book. Two variants of this theorem are presented, along with several (continued fractions and bisection) real root isolation methods derived from them.
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