| Complex Dynamics 1993. Corr. 2nd Edition Contributor(s): Carleson, Lennart (Author), Gamelin, Theodore W. (Author) |
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ISBN: 0387979425 ISBN-13: 9780387979427 Publisher: Springer OUR PRICE: $75.99 Product Type: Paperback Published: July 1993 Annotation: Discusses the properties of conformal mappings in the complex plane, a contemporary subject that is closely connected to the study of fractals and chaos. The text was developed out of a course taught over several semesters, with a focus on helping students and instructors to familiarize themselves with complex dynamics. 28 illustrations. |
| Additional Information |
| BISAC Categories: - Mathematics | Functional Analysis - Mathematics | Topology - General - Mathematics | Calculus |
| Dewey: 515.9 |
| LCCN: 92032457 |
| Physical Information: 0.52" H x 6.15" W x 9.24" (0.73 lbs) 192 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Complex dynamics is today very much a focus of interest. Though several fine expository articles were available, by P. Blanchard and by M. Yu. Lyubich in particular, until recently there was no single source where students could find the material with proofs. For anyone in our position, gathering and organizing the material required a great deal of work going through preprints and papers and in some cases even finding a proof. We hope that the results of our efforts will be of help to others who plan to learn about complex dynamics and perhaps even lecture. Meanwhile books in the field a. re beginning to appear. The Stony Brook course notes of J. Milnor were particularly welcome and useful. Still we hope that our special emphasis on the analytic side will satisfy a need. This book is a revised and expanded version of notes based on lectures of the first author at UCLA over several \Vinter Quarters, particularly 1986 and 1990. We owe Chris Bishop a great deal of gratitude for supervising the production of course notes, adding new material, and making computer pictures. We have used his computer pictures, and we will also refer to the attractive color graphics in the popular treatment of H. -O. Peitgen and P. Richter. We have benefited from discussions with a number of colleagues, and from suggestions of students in both our courses. |