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Posted by ubpdqn on January 8, 2013

Unknown Blogger Mathematica

This is my first reading of this book. This is a book you can come back to.  My first pass was to look through the beautiful images. I have somewhat superficially read the text. The book is well written. It has multiple levels and components.  It is partitioned in a stepwise manner to proceed  from Mobius transformations from circles to circles , then consideration iterated  pair of Mobius transformation of  disjoint circle pairs, then “kissing pairs” then more generalized approaches.  The important properties (conformal orientation preserving mappings) are discussed. The classifications are explained and the relation of these properties to the dynamic (iterated) behaviour is discussed. This book fits well with Visual Complex Analysis.I found the later chapters difficult and hope to come back to them in the future when I have the happy confluence of time, mood and more education.

Central to the book is the concept of…

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