CALCULUS Understanding Its Concepts and Methods

Complex number

The complex numbers contain a number
*i*,
the imaginary unit, with
*i*^{2} = -1. That
is,
*i*
is a square root of
-1.

Every complex number can be represented in the form
*x + iy *where
*x*
and
*y*
are real numbers called the real part and the
imaginary part of the complex number,
respectively.

The sum and product of two complex numbers are obtained by

(*u* + *iv*) + (*x* +* iy*)
= (*u* + *x*) + *i *(*v* + *y*)

(*u* + *iv*)(*x* + *iy*) = (*ux*
- *vy*)
+ *i*(*vx* + *uy*)

The complex numbers are an extension of the real numbers, in which all non-constant polynomials have roots.

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.