The Mandelbrot Set, Theme and Variations
The Mandelbrot Set, Theme and Variations
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Summary
This volume provides a systematic exposition of current knowledge about the Mandelbrot set and presents important results in complex dynamics hitherto unpublished or difficult to find in the literature. For graduates and researchers in dynamical systems, Kleinian groups or related subjects.
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The Mandelbrot Set, Theme and Variations by Tan
The Mandelbrot set is a fractal shape that classifies the dynamics of quadratic polynomials. It has a remarkably rich geometric and combinatorial structure. This volume provides a systematic exposition of current knowledge about the Mandelbrot set and presents the latest research in complex dynamics. Topics discussed include the universality and the local connectivity of the Mandelbrot set, parabolic bifurcations, critical circle homeomorphisms, absolutely continuous invariant measures and matings of polynomials, along with the geometry, dimension and local connectivity of Julia sets. In addition to presenting new work, this collection documents important results hitherto unpublished or difficult to find in the literature. This book will be of interest to graduate students in mathematics, physics and mathematical biology, as well as researchers in dynamical systems and Kleinian groups.
'… this collection presents important results hitherto unpublished or difficult to find in the literature' European Maths Society Journal
'The analytic techniques employed cover an exceptionally broad range and students of mainstream science in search of an appropriate mathematical model to fit their dynamical scheme will find a very solid theoretical base going way beyond the basic concepts.' Contemporary Physics
… should be studied in depth by any potential worker in this field. This book should remain popular for many years to come.' The Mathematical Gazette
'The analytic techniques employed cover an exceptionally broad range and students of mainstream science in search of an appropriate mathematical model to fit their dynamical scheme will find a very solid theoretical base going way beyond the basic concepts.' Contemporary Physics
… should be studied in depth by any potential worker in this field. This book should remain popular for many years to come.' The Mathematical Gazette
Tan Lei has been a professor at the University of Angers since September 2009. Prior to that, he was a teacher and researcher at ENS Lyon, the University of Warwick and the Universite de Cergy-Pontoise.
| SKU | Unavailable |
| ISBN 13 | 9780521774765 |
| ISBN 10 | 0521774764 |
| Title | The Mandelbrot Set, Theme and Variations |
| Author | Tan |
| Series | London Mathematical Society Lecture Note Series |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Cambridge University Press |
| Year published | 2000-04-13 |
| Number of pages | 388 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |