The Dynamics of Complex Functions

  • Richard A. Holmgren
Part of the Universitext book series (UTX)


Many interesting and beautiful results in dynamics are seen in the realm of complex functions. In the last two chapters of this text, we will examine Newton’s method for complex functions and the dynamics of the quadratic map q c (z) = z2+c when z is complex. Both of these subjects yield interesting mathematics and beautiful illustrations. In particular, the well-known Mandelbrot set is intimately connected with the dynamics of the quadratic map.


Complex Number Complex Plane Complex Function Periodic Point Imaginary Axis 
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Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Richard A. Holmgren
    • 1
  1. 1.Department of MathematicsAllegheny CollegeMeadvilleUSA

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