Algebraic number (nonfiction)

An algebraic number is any complex number (including real numbers) that is a root of a non-zero polynomial (i.e., a value which causes the polynomial to equal 0) in one variable with rational coefficients (or equivalently – by clearing denominators – with integer coefficients).

All integers and rational numbers are algebraic, as are all roots of integers.

Some real numbers are algebraic, others are not.

Some complex numbers are algebraic, almost all are not.

Those real and complex numbers which are not algebraic are called transcendental numbers. Well-known transcendental numbers include π and e.

Fiction cross-reference

• Crimes against mathematical constants
• Mathematics

Nonfiction cross-reference

• Mathematics (nonfiction)
• Number (nonfiction)
• Number theory (nonfiction)

External links:

• Algebraic number @ Wikipedia