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Book Review

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Book Information:

Author: John Milnor
Title: Dynamics in one complex variable, Introductory lectures
Additional book information: 2nd edition, Vieweg Verlag, Weisbaden, 2000, vii+257 pp., ISBN 3-528-13130-6

References [Enhancements On Off] (What's this?)

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  • [DH1] A. Douady and J. H. Hubbard, Étude dynamique des polynômes complexes. Partie I, Publications Mathématiques d’Orsay [Mathematical Publications of Orsay], vol. 84, Université de Paris-Sud, Département de Mathématiques, Orsay, 1984 (French). MR 762431
    A. Douady and J. H. Hubbard, Étude dynamique des polynômes complexes. Partie II, Publications Mathématiques d’Orsay [Mathematical Publications of Orsay], vol. 85, Université de Paris-Sud, Département de Mathématiques, Orsay, 1985 (French). With the collaboration of P. Lavaurs, Tan Lei and P. Sentenac. MR 812271
    A. Douady and J. H. Hubbard, Étude dynamique des polynômes complexes. Partie I, Publications Mathématiques d’Orsay [Mathematical Publications of Orsay], vol. 84, Université de Paris-Sud, Département de Mathématiques, Orsay, 1984 (French). MR 762431
    A. Douady and J. H. Hubbard, Étude dynamique des polynômes complexes. Partie II, Publications Mathématiques d’Orsay [Mathematical Publications of Orsay], vol. 85, Université de Paris-Sud, Département de Mathématiques, Orsay, 1985 (French). With the collaboration of P. Lavaurs, Tan Lei and P. Sentenac. MR 812271
  • [DH2] Adrien Douady and John Hamal Hubbard, On the dynamics of polynomial-like mappings, Ann. Sci. École Norm. Sup. (4) 18 (1985), no. 2, 287–343. MR 816367
  • [DH3] Adrien Douady and John H. Hubbard, A proof of Thurston’s topological characterization of rational functions, Acta Math. 171 (1993), no. 2, 263–297. MR 1251582, https://doi.org/10.1007/BF02392534
  • [GR] Robert C. Gunning and Hugo Rossi, Analytic functions of several complex variables, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1965. MR 0180696
  • [HY] J. H. Hubbard, Local connectivity of Julia sets and bifurcation loci: three theorems of J.-C. Yoccoz, Topological methods in modern mathematics (Stony Brook, NY, 1991) Publish or Perish, Houston, TX, 1993, pp. 467–511. MR 1215974
  • [HS] J. H. Hubbard and D. Schleicher, The Spider Algorithm, Complex Dynamical Systems, The Mathematics behind the Mandelbrot and Julia Sets, Proceedings of Symposia in Applied Mathematics, Vol. 49, Robert Devaney, ed., A.M.S. (1994), 155-180. CMP 95:07
  • [HW] W. Hurewicz and H. Wallman, Dimension theory, Princeton U. Press (1941). MR 3:312b
  • [McM] Curtis T. McMullen, Complex dynamics and renormalization, Annals of Mathematics Studies, vol. 135, Princeton University Press, Princeton, NJ, 1994. MR 1312365
  • [St] Elias M. Stein, Singular integrals and differentiability properties of functions, Princeton Mathematical Series, No. 30, Princeton University Press, Princeton, N.J., 1970. MR 0290095

Review Information:

Reviewer: John Hubbard
Affiliation: Cornell University
Email: jhh8@cornell.edu
Journal: Bull. Amer. Math. Soc. 38 (2001), 495-498
Published electronically: June 12, 2001
Review copyright: © Copyright 2001 American Mathematical Society