Dynamics in One Complex Variable. (Am-160) - (Am-160) 3rd Edition

Zusatztext "John Milnor's book provides a solid foundation and the kind of bird's eye view that perhaps only a mathematician of his caliber can offer." ---William J. Satzer! MAA Reviews Informationen zum Autor John Milnor Klappentext This volume studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. This subject is large and rapidly growing. These lectures are intended to introduce some key ideas in the field, and to form a basis for further study. The reader is assumed to be familiar with the rudiments of complex variable theory and of two-dimensional differential geometry, as well as some basic topics from topology. This third edition contains a number of minor additions and improvements: A historical survey has been added, the definition of Lattés map has been made more inclusive, and the écalle-Voronin theory of parabolic points is described. The résidu itératif is studied, and the material on two complex variables has been expanded. Recent results on effective computability have been added, and the references have been expanded and updated. Written in his usual brilliant style, the author makes difficult mathematics look easy. This book is a very accessible source for much of what has been accomplished in the field. Zusammenfassung Helps you study the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. This title introduces some key ideas in the field, and to form a basis for further study.

Product details

• Authors: Elias Milnor, J. Milnor, John Milnor
• Assisted by: Phillip Griffiths (Editor), John N. Mather (Editor)
• Publisher: Princeton University Press
• Languages: English
• Product format: Paperback / Softback
• Released: 22.01.2006
• EAN: 9780691124889
• ISBN: 978-0-691-12488-9
• No. of pages: 320
• Dimensions: 178 mm x 248 mm x 19 mm
• Series: Annals of Mathematics Studies; Annals of Mathematics Studies
• Subjects: Education and learning > Teaching preparation > Vocational needs; Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; MATHEMATICS / Complex Analysis, Complex analysis, complex variables