[ Graphics Archive | Up | Comments ]

Special Topics:Complex Analysis

Complex number originally were developed as a means of solving algebraic equations that did not have roots in the real numbers (such as x^2 = -3). They have since become an extremely rich and important part of mathematics as a whole. The set of complex numbers can be identified 2-dimensional plane of points, R^2, where the point (x,y) is the complex number x + iy (where i is one of the solutions to the equation x^2 = -1); this is called the complex plane, C. The geometry of the complex plane is both beautiful and intricate. A map F

Images:

1. [Square Stretched Over Sphere] 2. [Weierstrass P-function] 3. [Wild Complex Function]

  1. Square Stretched Over Sphere
  2. Weierstrass P-function
  3. Wild Complex Function
[HOME] The Geometry Center Home Page

Comments to: webmaster@geom.umn.edu
Created: Tue Feb 11 7:10:26 CST 1997 --- Last modified: Tue Feb 11 7:10:26 CST 1997

Copyright © 1990-1995 by The Geometry Center, University of Minnesota. All rights reserved.
For permission to use these images, please contact permission@geom.umn.edu.