TY - BOOK AU - Morosawa, S. AU - Nishimura, Y. AU - Taniguchi, M. AU - Ueda, T. TI - Holomorphic dynamics SN - 9780521662581 U1 - 515.352 PY - 2000/// CY - Cambridge PB - Cambridge University Press KW - Holomorphic mappings KW - Differentiable dynamical systems KW - Functions of complex variables KW - Fatou and Julia sets KW - Kleinian groups and Sullivan's dictionary N1 - Includes bibliographical references (p. 329-334) and index N2 - This is a comprehensive introduction to holomorphic dynamics, that is the dynamics induced by the iteration of various analytic maps in complex number spaces. This has been the focus of much attention in recent years, with, for example, the discovery of the Mandelbrot set, and work on chaotic behavior of quadratic maps. The treatment is mathematically unified, emphasizing the substantial role played by classical complex analysis in understanding holomorphic dynamics as well as giving an up-to-date coverage of the modern theory." "The book will be welcomed by graduate students and professionals in pure mathematics and science who seek a reasonably self-contained introduction to this exciting area ER -