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Definition of Algebraic number
1. Noun. Root of an algebraic equation with rational coefficients.
Definition of Algebraic number
1. Noun. (mathematics) A complex number that is a root of a polynomial equation with rational coefficients. ¹
¹ Source: wiktionary.com
Lexicographical Neighbors of Algebraic Number
Literary usage of Algebraic number
Below you will find example usage of this term as found in modern and/or classical literature:
1. The Elements of the Theory of Algebraic Numbers by Legh Wilber Reid (1910)
"Degree of an algebraic number. It will be assumed in this book that the complex
... We proceed to define an algebraic number. A number, a, is said to be an ..."
2. Proceedings of the International Mathematical Congress Held (1902)
"Also the algebraic number a is said to be divisible by the complex of algebraic
numbers a, ß, y, ... in Q if it is possible to determine in this realm ..."
3. The Foundations of Geometry by David Hilbert (1902)
"The algebraic number 1/2 11/ 2 | — 2, which expresses the numerical value of the
other side, does not occur in the domain Ci, since the conjugate number ..."
4. The Encyclopaedia Britannica: “a” Dictionary of Arts, Sciences, Literature edited by Hugh Chisholm (1911)
"If the equation began with аф* instead of 0*, 0 would still be an algebraic
number; every algebraic number can be put into the form e¡m, ..."
5. Introduction to Infinitesimal Analysis: Functions of One Real Variable by Oswald Veblen, Nels Johann Lennes (1907)
"The definition of the number r. is derived from EULER'S formula — 1 sin z; by
replacing x by n, (1) If 7T is assumed to be an algebraic number, rV-l is also ..."
6. Elementary Algebra by George William Myers, George Edward Atwood (1916)
"An algebraic number or function is a shorthand description of the way to ...
The point-pictures of the number-pairs of an algebraic number give the ..."
7. Lectures on the Theory of Functions of Real Variables by James Pierpont (1912)
"For the cardinal number of the set of real algebraic number is e, and that of
the set ... In algebra it is shown that any algebraic number a is a root of an ..."
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