algebraic number

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Related to Algebraic numbers: Transcendental numbers
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Words related to algebraic number

root of an algebraic equation with rational coefficients

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2] are distinct algebraic numbers conjugate over Q then
1e algebraic numbers with grows of b have tendency became closer to rational maxima.
Our main results (Theorem 5 and Proposition 7) may seem surprising as we might expect that any algebraic number would be computable in our setting.
Those irrational numbers that cannot serve as solutions are called transcendental numbers (from Latin words meaning "to climb beyond," since they climb beyond the algebraic numbers to further heights).
The text introduces fundamental ideas of algebraic numbers from a concrete perspective and is meant for undergraduate students of mathematics.
Any non-vanishing linear combination of logarithms of algebraic numbers with algebraic coefficients is transcendental.
This collection of Artin's work includes his books Galois Theory, The Gamma Function and The Theory of Algebraic Numbers, and papers on the axiomatic characterization of fields with George Whaples, real fields ("A Characterization of the Field of Real Algebraic Numbers," "The Algebraic Construction of Real Fields" and "A Characterization of Real Closed Fields") in their first English translation, and the theory of braids.
Artin, Theory of algebraic numbers, Notes by Gerhard Wurges from lectures held at the Mathematisches Institut, Gottingen, Germany, in the Winter Semester, 1956/7, translated by George Striker, Schildweg 12, Goottingen, 1959.
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