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Book Review

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Book Information

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

References:

[BH]
B. Branner and J. H. Hubbard, The Iteration of Cubic Polynomials Part II: Patterns and Parapatterns, Acta Math. 169 (1992), 229-325. MR 94d:30044

[DH1]
A. Douady and H. Hubbard, Etude dynamique des polynomes complexes I et II, Publ. Math. Orsay 84.02 (1984) and 85.04 (1985). MR 87f:58072a; MR 87f:58072b

[DH2]
A. Douady and H. Hubbard, On the dynamics of polynomial-like mappings, Ann. Scient. ENS Paris 18 (1985), 287-343. MR 87f:58083

[DH3]
A. Douady and H. Hubbard, A proof of Thurston's topological characterization of rational functions, Acta Math. 171 (1993), 263-297. MR 94j:58143

[GR]
R. Gunning and H. Rossi, Analytic functions of several complex variables, Prentice Hall (1965). MR 31:4927

[HY]
J. H. Hubbard, Local Connectivity of Julia Sets and Bifurcation Loci: Three Theorems of J.-C. Yoccoz, in Topological Methods in Modern Mathematics, Proceedings of a Symposium in Honor of John Milnor's Sixtieth Birthday, L. Goldberg and A. Phillips, eds., Publish or Perish (1993), 467-511. MR 94c:58172

[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]
C. McMullen, Complex Dynamics and Renormalization, Ann. Mat. Studies 135, Princeton U. Press (1994). MR 96b:58097

[St]
E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton U. Press (1970). MR 44:7280

Additional Information:

Reviewer(s):
John Hubbard
Affiliation: Cornell University
Email: jhh8@cornell.edu

Review Information:
Journal: Bull. Amer. Math. Soc. 38 (2001), 495-498.

MSC (2000): Primary 37-01, 37Fxx
DOI: 10.1090/S0273-0979-01-00918-1
PII: S 0273-0979(01)00918-1
Posted: June 12, 2001
Copyright of article: Copyright 2001, American Mathematical Society

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