Dynamics of Entire Functions by Cndido Pieiro - 9783111689432

Dynamics of Entire FunctionsThe Fractal Sets of Julia and Mandelbrot\nAuthor(s): Cndido Pieiro\nFormat: Paperback\nPublisher: De Gruyter, Germany\nImprint: De Gruyter\nISBN-13: 9783111689432, 978-3111689432\nSynopsis\nThere are very few systematic books on the dynamics of entire functions. Unfortunately, reading these books is often difficult for non-specialists since their proofs are not clearly written, and readers struggle to understand the arguments fully. This book is a comprehensive introduction to the iteration theory of entire complex functions. It is intended to introduce the reader to the key topics in the field and to form a basis for further study. In general, the proofs are more detailed; therefore, the book will also help non-specialist mathematicians become acquainted with complex dynamics. In no sense is this manuscript a complete account of the subject. Nevertheless, the book may also be helpful to young researchers in this field before they tackle more specific work.