complex number

The ring of complex numbersMathworldPlanetmathPlanetmath is defined to be the quotient ringMathworldPlanetmath of the polynomial ringMathworldPlanetmath [X] in one variable over the reals by the principal idealMathworldPlanetmathPlanetmathPlanetmath (X2+1). For a,b, the equivalence classMathworldPlanetmathPlanetmath of a+bX in is usually denoted a+bi, and one has i2=-1.

The complex numbers form an algebraically closed field. There is a standard metric on the complex numbers, defined by

Title complex number
Canonical name ComplexNumber
Date of creation 2013-03-22 11:52:35
Last modified on 2013-03-22 11:52:35
Owner djao (24)
Last modified by djao (24)
Numerical id 9
Author djao (24)
Entry type Definition
Classification msc 12D99
Classification msc 30-00
Classification msc 32-00
Classification msc 46L05
Classification msc 18B40
Classification msc 46M20
Classification msc 17B37
Classification msc 22A22
Classification msc 81R50
Classification msc 22D25
Related topic Complex