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Iteration of Rational Functions: Complex Analytic Dynamical Systems (Graduate Texts in Mathematics)

Alan F. Beardon




[PDF.tr83] Iteration of Rational Functions: Complex Analytic Dynamical Systems (Graduate Texts in Mathematics)

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 | #2095268 in Books |  2013-10-04 | Original language:English | PDF # 1 |  9.25 x.68 x6.10l,.93 | File type: PDF | 280 pages

||9 of 10 people found the following review helpful.| Pictures and math.|By Palle E T Jorgensen|Many people outside mathematics know of Julia sets, Mandelbrot sets, attractors, chaos, and fractals. They might have encountered them in color renditions as moving pictures that serve as computer screen savers. The book is about the underlying mathematics.

The rational functions (i.e., quotients of polynomials) form a rel| ||A.F. Beardon |Iteration of Rational Functions |Complex Analytic Dynamical Systems |"This book makes available a comprehensive, detailed, and organized treatment of the foundations of the theory of iteration of rational functions of a com

This book focuses on complex analytic dynamics, which dates from 1916 and is currently attracting considerable interest. The text provides a comprehensive, well-organized treatment of the foundations of the theory of iteration of rational functions of a complex variable. The coverage extends from early memoirs of Fatou and Julia to important recent results and methods of Sullivan and Shishikura. Many details of the proofs have not appeared in print before.



You easily download any file type for your device.Iteration of Rational Functions: Complex Analytic Dynamical Systems (Graduate Texts in Mathematics)   |  Alan F. Beardon. A good, fresh read, highly recommended.

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