The Mandelbrot Set, Theme and Variations
£71.99
Part of London Mathematical Society Lecture Note Series
- Editor: Tan Lei, Université d'Angers, France
- Date Published: April 2000
- availability: Available
- format: Paperback
- isbn: 9780521774765
£
71.99
Paperback
Other available formats:
eBook
Looking for an inspection copy?
This title is not currently available on inspection
-
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 In addition to presenting new work, this collection documents important results hitherto unpublished or difficult to find in the literature.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.
Read more- Documents important results about the Mandelbrot set and related topics which were hitherto unpublished or difficult to find in the current literature
- Covers both new research and the basic knowledge of the subject
- Unique treatment of the Mandelbrot set, Julia sets and dynamical systems
Reviews & endorsements
'… this collection presents important results hitherto unpublished or difficult to find in the literature.' European Maths Society Journal
See more reviews'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
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: April 2000
- format: Paperback
- isbn: 9780521774765
- length: 388 pages
- dimensions: 230 x 153 x 22 mm
- weight: 0.525kg
- contains: 61 b/w illus.
- availability: Available
Table of Contents
Introduction L.Tan
Preface J. Hubbard
1. The Mandelbrot set is universal C. McMullen
2. Baby Mandelbrot sets are born in cauliflowers A. Douady, X. Buff, R. Devaney and P. Sentenac
3. Modulation dans l'ensemble de Mandelbrot P. Haïssinsky
4. Local connectivity of Julia sets: expository lectures J. Milnor
5. Holomorphic motions and puzzles (following M. Shishikura) P. Roesch
6. Local properties of the Mandelbrot set at parabolic points L.Tan
7. Convergence of rational rays in parameter spaces C. Petersen and G. Ryd
8. Bounded recurrence of critical points and Jakobson's Theorem S. Luzzatto
9. The Herman–Swiatek theorems with applications C. Petersen
10. Perturbations d'une fonction linéarisable H. Jellouli
11. Indice holomorphe et multiplicateur H. Jellouli
12. An alternative proof of Mañé's theorem on non-expanding Julia sets M. Shishikura and L.Tan
13. Geometry and dimension of Julia sets Y. -C. Yin
14. On a theorem of Mary Rees for the matings of polynomials M. Shishikura
15. Le théorème d'intégrabilité des structures presque complexes A. Douady and X. Buff
16. Bifurcation of parabolic fixed points M. Shishikura.
Related Books
related journals
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×