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Book Review

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MathSciNet review: 2857586
Full text of review: PDF   This review is available free of charge.
Book Information:

Authors: Daniel S. Alexander, Felice Iavernaro and Alessandro Rosa
Title: Early days in complex dynamics: a history of complex dynamics in one variable during 1906–1942
Additional book information: History of Mathematics, 38, American Mathematical Society, Providence, RI, London Mathematical Society, London, 2012, xviii+454 pp., ISBN 978-0-8218-4464-9, US $99.00

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

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  • [2] Michèle Audin.
    Fatou, Julia, Montel, le grand prix des sciences mathématiques de 1918, et après.
    Springer-Verlag, Berlin, 2009.
  • [3] Laurent Bartholdi and Volodymyr Nekrashevych, Thurston equivalence of topological polynomials, Acta Math. 197 (2006), no. 1, 1-51. MR 2285317 (2008c:37072), https://doi.org/10.1007/s11511-006-0007-3
  • [4] Laurent Bartholdi and Bálint Virág, Amenability via random walks, Duke Math. J. 130 (2005), no. 1, 39-56. MR 2176547 (2006h:43001), https://doi.org/10.1215/S0012-7094-05-13012-5
  • [5] Kai-Uwe Bux and Rodrigo Pérez, On the growth of iterated monodromy groups, Topological and asymptotic aspects of group theory, Contemp. Math., vol. 394, Amer. Math. Soc., Providence, RI, 2006, pp. 61-76. MR 2216706 (2006m:20062), https://doi.org/10.1090/conm/394/07434
  • [6] Adrien Douady, Disques de Siegel et anneaux de Herman, Astérisque 152-153 (1987), 4, 151-172 (1988) (French). Séminaire Bourbaki, Vol. 1986/87. MR 936853 (89g:30049)
  • [7] 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 (94j:58143), https://doi.org/10.1007/BF02392534
  • [8] Michael R. Herman's manuscripts.
    http://www.math.kyoto-u.ac.jp/ mitsu/Herman/index.
    html.
  • [9] John Horgan.
    Mandelbrot Set-To: Did the father of fractals ``discover'' his namesake set?
    Scientific American, 262, April 1990, pp. 30-34.
  • [10] Mikhail Lyubich and Michael Yampolsky (eds.), Holomorphic dynamics and renormalization, Fields Institute Communications, vol. 53, American Mathematical Society, Providence, RI, 2008. A volume in honour of John Milnor's 75th birthday; Papers from the workshop held in Toronto, ON, March 7-11, 2006. MR 2478452 (2009i:37006)
  • [11] H.-O. Peitgen and P. H. Richter, The beauty of fractals, Springer-Verlag, Berlin, 1986. Images of complex dynamical systems. MR 852695 (88e:00019)
  • [12] Rodrigo A. Pérez, A brief but historic article of Siegel, Notices Amer. Math. Soc. 58 (2011), no. 4, 558-566. MR 2807522 (2012e:70021)
  • [13] Dierk Schleicher (ed.), Complex dynamics: families and friends, A K Peters Ltd., Wellesley, MA, 2009. MR 1500163 (2010a:37001)
  • [14] Carl Ludwig Siegel, Iteration of analytic functions, Ann. of Math. (2) 43 (1942), 607-612. MR 0007044 (4,76c)

Review Information:

Reviewer: Rodrigo A. Pérez
Affiliation: Department of Mathematical Sciences, IUPUI, Indianapolis, Indiana 46202
Email: rperez@math.iupui.edu
Journal: Bull. Amer. Math. Soc. 50 (2013), 503-511
DOI: https://doi.org/10.1090/S0273-0979-2013-01408-3
Published electronically: April 17, 2013
Review copyright: © Copyright 2013 by the author
American Mathematical Society