单复变动力系统(第3版)(英文版) [平装] 9787510058301

《单复变动力系统(第3版)(英文版)》将引进这个领域的核心理念，并且形成更进一步研究的基础。书中假定读者有一定的复变量、二维微分几何和拓扑知识。这是第三版，在原来版本的基础上做了小的改动和改进，包括一个小的历史回顾、latts映射定义、抛物点calle—voronin理论、扩充了二复变量的知识、增加了有效计算性的最新结果，参考资料做了扩展和更新。《单复变动力系统(第3版)(英文版)》适合数学专业的本科生、研究生和相关的科研人员阅读。 作者：（美国）米尔诺（John Milnor） List of Figures Preface to the Third Edition Chronological Table Riemann Surfaces 1. Simply Connected Surfaces 2. Universal Coverings and the Poincaré Metric 3. Normal Families: Montel's Theorem Iterated Holomorphic Maps 4. Fatou and Julia: Dynamics on the Riemann 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. BSttcher's Theorem and Polynomial Dynamics 10. Parabolic Fixed Points: The Leau-Fatou Flower 11. Cremer Points and Siegel Disks 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 Fatou 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. Theorems from Classical Analysis Appendix B. Length-Area-Modulus Inequalities Appendix C. Rotations, Continued Fractions, and Rational Approximation Appendix D. Two or More Complex Variables Appendix E. Branched Coverings and Orbifolds Appendix F. No Wandering Fatou Components Appendix G. Parameter Spaces Appendix H. Computer Graphics and Effective Computation References Index 版权页： 插图：

ISBN	9787510058301
出版社	世界图书出版公司北京公司
作者	米尔诺 (John Milnor)
尺寸	16