© 1993

Complex Dynamics


Part of the Universitext: Tracts in Mathematics book series (UTX)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Lennart Carleson, Theodore W. Gamelin
    Pages 1-25
  3. Lennart Carleson, Theodore W. Gamelin
    Pages 27-51
  4. Lennart Carleson, Theodore W. Gamelin
    Pages 53-67
  5. Lennart Carleson, Theodore W. Gamelin
    Pages 69-80
  6. Lennart Carleson, Theodore W. Gamelin
    Pages 81-98
  7. Lennart Carleson, Theodore W. Gamelin
    Pages 99-108
  8. Lennart Carleson, Theodore W. Gamelin
    Pages 109-122
  9. Lennart Carleson, Theodore W. Gamelin
    Pages 123-159
  10. Back Matter
    Pages 161-177

About this book


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.


integral iteration quasiconformal mapping

Authors and affiliations

  1. 1.Department of MathematicsRoyal Institute of TechnologyStockholmSweden
  2. 2.Department of MathematicsUniversity of CaliforniaLos AngelesUSA

Bibliographic information

  • Book Title Complex Dynamics
  • Authors Lennart Carleson
    Theodore W. Gamelin
  • Series Title Universitext: Tracts in Mathematics
  • DOI
  • Copyright Information Springer-Verlag New York 1993
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-0-387-97942-7
  • eBook ISBN 978-1-4612-4364-9
  • Series ISSN 0172-5939
  • Series E-ISSN 2191-6675
  • Edition Number 1
  • Number of Pages IX, 192
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Analysis
  • Buy this book on publisher's site