Complex numbers?

  • #1

Main Question or Discussion Point

Complex numbers?
Since the system is not an ordered pair, how then is it defined using the complex system as an ordered system to plot the z axis (Plane) to use a function?
At the point we input each point of the Real and imaginary plane into a function to get out an answer in the Z plane, is it now an ordered pair per point on input ?
 

Answers and Replies

  • #2
DrClaude
Mentor
7,257
3,413
A complex number is an ordered pair.
 
  • #3
SteamKing
Staff Emeritus
Science Advisor
Homework Helper
12,798
1,666
In complex analysis, the relation w = f(z), where f is some function and w and z are complex number, is thought of as a mapping, whereby for each number z, the function f(z) points to, or 'maps', a different complex number w in a different complex plane.
 
  • #4
pwsnafu
Science Advisor
1,080
85
  • #5
pwsnafu
Where as I believe it is correct, in the link you gave: it is a statement given with out any reference or source.
 
  • #6
806
23
pwsnafu
Where as I believe it is correct, in the link you gave: it is a statement given with out any reference or source.
It's the standard construction of the complex numbers. If you want a reference, see any text on complex analysis of algebra ever published.
 
  • #7
Hey folks thanks. Simply put based of the limited ability to define i to the real set we created an set with the real and imaginary that is an analogy. of course from there end up with complex analysis etc.



Not sure what the "Mon" replies are, seem to add noting to the discussion.
 

Related Threads on Complex numbers?

  • Last Post
Replies
12
Views
2K
  • Last Post
Replies
15
Views
3K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
3
Views
987
  • Last Post
Replies
9
Views
3K
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
10
Views
2K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
6
Views
2K
Top