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The Dynamics of Complex Functions

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

Abstract

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.

Keywords

Complex Number Complex Plane Complex Function Periodic Point Imaginary Axis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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