One Dimensional Real and Complex Dynamics需要学习的资料:
复分析基础:本科生课程
(1) Complex Analysis, 3rd Edition, Lars V. Ahlfors
(2) Complex Analysis, Elias M. Stein
进阶复分析:研究生课程
(1) Lectures on Riemann Surfaces (GTM 81), Otto Forster
(2) Lectures on Quasiconformal Mappings, Lars V. Ahlfors
实分析基础:本科生课程
(1) Real Analysis, Rudin
(2) Real Analysis, Elias M. Stein
专业书籍:
实动力系统:
(1) One Dimensional Dynamics, Welington de Melo & Sebastian VanStrien
(2) Mathematical Tools for One-Dimensional Dynamics (Cambridge Studies in Advanced Mathematics), Edson de Faria / Welington de Melo
复动力系统:
(3) Dynamics in One Complex Variable, John Milnor
(4) Complex Dynamics, Lennart Carleson
(5) Complex Dynamics and Renormalization, Curtis T. McMullen
(6) Renormalization and 3-Manifolds Which Fiber over the Circle, Curtis T. McMullen
(7) Iteration of rational functions (GTM 132), Alan F. Beardon
遍历论:
(8) An Introduction to Ergodic Theory (GTM 79), Walters Peter