Section 1.2 The Algebra of Complex Numbers - Maple Application Center
Application Center Applications Section 1.2 The Algebra of Complex Numbers

Section 1.2 The Algebra of Complex Numbers

: Dr. John Mathews
Engineering software solutions from Maplesoft
This Application runs in Maple. Don't have Maple? No problem!
 Try Maple free for 15 days!
We have seen that complex numbers came to be viewed as ordered pairs of real numbers. That is, a complex number z is defined to be z = (x, y) . The reason we say ordered pair is because we are thinking of a point in the plane. The point (2, 3), for example, is not the same as (3, 2). The order in which we write x and y in the equation makes a difference. Clearly, then, two complex numbers are equal if and only if their x coordinates are equal and their y coordinates are equal. In other words, (x, y) = (u, v) iff x = u and y = v .

Application Details

Publish Date: October 01, 2003
Created In: Maple V
Language: English



More Like This

Section 1.5 The Algebra of Complex Numbers, Revisited
Section 1.1 The Origin of Complex Numbers
Section 1.3 The Geometry of Complex Numbers
Section 2.3 The Mappings w = z^n and w = z^`1/n`
Section 2.1 Functions of a Complex Variable
Section 2.4 Limits and Continuity
Section 1.4 The Geometry of Complex Numbers, Continued
Section 2.2 Transformations and Linear Mappings
Section 1.6 The Topology of Complex Numbers
Section 2.6 The Reciprocal Transformation w = 1/z
Section 2.5 Branches of Functions
Section 3.1 Differentiable Functions