Complex dynamics
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Contributions
- Gamelin, Theodore W. - Contributor
Publication
1993 - Springer-Verlag, New York, New York (State)
Language
English
Word Count
43,500 words, Guess
Page Count
174 pages
Identifiers
- Open LibraryOL1728209M
- ISBN-100387979425
- OCLC Control Number26719640
- OCLC Control Numbercomplexdynamics00carl
- Library of Congress Control Number92032457
and 2 more
- LibraryThing175534
- Goodreads4465458
Classifications
- DDC515/.9
- LCCQA331.7 .C37 1993
Description
"Complex Dynamics discusses the properties of conformal mappings in the complex plane, a subject that is closely connected to the study of fractals and chaos. Indeed the culmination of the book is a detailed study of the famous Mandelbrot set, which describes very general properties of such mappings. The book focuses on the analytic side of this contemporary subject. The text was developed out of a course taught over several semesters; its focus is to help students and instructors to familiarize themselves with complex dynamics. Topics covered include: conformal and quasi-conformal mappings, fixed points and conjugations, basic rational iteration (the Julia set), classification of periodic components, critical points and expanding maps, some applications of conformal mappings (e.g. Hermann rings), the local geometry of the Fatou set, and quadratic polynomials and the Mandelbrot set"--Publisher description.
Series Statement
- Universitext.
Other Editions
- Complex dynamics
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