Holomorphic dynamics
Morosawa, S.
Holomorphic dynamics - Cambridge: Cambridge University Press, 2000. - xi, 338 p. : ill. ; hb. ; 24 cm. - Cambridge studies in advanced mathematics, 66 .
Includes bibliographical references (p. 329-334) and index.
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.
9780521662581
Holomorphic mappings
Differentiable dynamical systems
Functions of complex variables
Fatou and Julia sets
Kleinian groups and Sullivan's dictionary
515.352 / MOR
Holomorphic dynamics - Cambridge: Cambridge University Press, 2000. - xi, 338 p. : ill. ; hb. ; 24 cm. - Cambridge studies in advanced mathematics, 66 .
Includes bibliographical references (p. 329-334) and index.
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.
9780521662581
Holomorphic mappings
Differentiable dynamical systems
Functions of complex variables
Fatou and Julia sets
Kleinian groups and Sullivan's dictionary
515.352 / MOR
