米爾諾著的《單復變動力繫統(第3版)》旨在研究從黎曼曲面到黎曼曲面迭代正則映射的動力學理論，專注於黎曼球面經典案例。該科目內容龐大，發展迅速，本書將引進這個領域的核心理念，並且形成*進一步研究的基礎。本書假定讀者有一定的復變量、二維微分幾何和拓撲知識。這是第三版，在原來版本的基礎上做了小的改動和改進，包括一個小的歷史回顧、Latts映射定義、拋物點calle－Voronin理論、擴充了二復變量的知識、增加了有效計算性的*新結果，參考資料做了擴展和*新。

List of Figures
Preface tothe Third Edition
Chronological Table
Riemann Surfaces
1. Simply Connected Surfaces
2. Universal Coverings andthePoincardMetric
3. Normal Families：Moutel's Theorem
Iterated Holomorphlc Maps
4. Fatou and Julia：Dynamics ontheRiemann Sphere
5. Dynamics on Hyperbolic Surfaces
6. Dynamics on Euclidean Surfaces
7. Smooth Julia Sets
Local Fixed Point Theory
8. Geometrically Attracting or Repelling Fixed Points
9. B6ttcher's Theorem and Polynomial Dynamics
10. ParabolicFixed Points：The Lean-Faton Flower
11. Cremer Points and SiegelDisks，
Periodic Points：Global Theory
12. The Holomorphic Fixed Point Formula
13. Most Periodic Orbits Repel
14. Repelling Cycles Are Dense in J
Structure of the Fatou Set
15. Herman Rings
16. The Sullivan Classification of FatOH Components
Using the Fatou Set to Study the Julia Set
17. Prime Ends and Local Connectivity
18. Polynomial Dynamics：External Rays
19. Hyperbolic and Subhyperbolic Maps
Appendix A.Theoremsfrom ClassicalAnalysis
Appendix B.Length-Area-Modulus Inequalities
Appendix C.Rotations，Continued Fractions，and Rational Approximation
Appendix D.Two or More Complex Variables
Appendix E.BranchedCoverings and Orbifolds
Appendix F.NoWandering Fatou Components
Appendix G.Parameter Spaces
Appendix H.Computer Graphics and Effective Computation
References
Index