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.
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© 1996 Springer Science+Business Media New York
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Holmgren, R.A. (1996). The Dynamics of Complex Functions. In: A First Course in Discrete Dynamical Systems. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8732-7_14
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DOI: https://doi.org/10.1007/978-1-4419-8732-7_14
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-94780-8
Online ISBN: 978-1-4419-8732-7
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