Complex Analysis and Dynamics in One Variable with Applications
Luis T. Magalhães
Gebundenes Buch

Complex Analysis and Dynamics in One Variable with Applications

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This textbook has been designed to support the initial study of Complex Analysis, progressing to Complex Dynamics. It focuses on the fundamental aspects of one-variable complex functions, covering the geometric theory and dynamics of iterations of rational mappings. Following the standard material, the book delves into an extensive range of advanced topics, encompassing the requirements for a one-year graduate-level course or a preliminary exam.In this work, the reader will discover three distinctive characteristics: it simplifies and unifies ideas and concepts that might appear disparate or c...