Mathematical Tools for One-Dimensional Dynamics
2008
First Published
208
Number of Pages
Part of Series
Detailing the very latest research, this self-contained book discusses the major mathematical tools necessary for the study of complex dynamics at an advanced level. Complete proofs of some of the major tools are presented; some, such as the Bers-Royden theorem on holomorphic motions, appear for the very first time in book format. Originating with the pioneering works of P. Fatou and G. Julia, the subject of complex dynamics has seen great advances in recent years. This necessary book will appeal to graduate students and researchers working in dynamical systems and related fields. Carefully chosen exercises aid understanding and provide a glimpse of further developments in real and complex one-dimensional dynamics.
Authors
Welington de Melo
Author · 2 books
Welington de Melo provém de Guapé, MG. É formado em Engenharia Elétrica pela Universidade Federal de Minas Gerais e obteve o Doutorado em Matemática no IMPA. Fez estágios de pós-doutorado em Berkeley, Califórnia e em Warwick, Inglaterra. É Pesquisador Titular do IMPA. Seus trabalhos de pesquisa versam sobre Sistemas Dinâmicos e Singularidades de Aplicações Diferenciáveis.
