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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Book Information:

Author: György Targonski
Title: Topics in iteration theory
Additional book information: Studia Mathematica, Skript 6, Vandenhoeck & Ruprecht, Gottingen and Zurich, 1981, 292 pp., (kart. DM 45,--), ISBN 3-5244-0126-9.

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

  • 1. N. H. Abel, Détermination d'une fonction au moyen d'une équation qui ne contient qu'une seule variable, Oeuvres, Tome II, pp. 36-39.
  • 2. U. Burkart, Zur Charakterisierung diskreter dynamischer Systeme, Inaugural-Dissertation, Phillips-Universität Marburg/Lahn, 1981.
  • 3. R. Graw, Über die Orbitstruktur stetiger Abbildungen, Inaugural-Dissertation, Philips-Universität Marburg/Lahn, 1981.
  • 4. Rufus Isaacs, Iterates of fractional order, Canadian J. Math. 2 (1950), 409–416. MR 0040560
  • 5. Leo Jonker, A monotonicity theorem for the family 𝑓ₐ(𝑥)=𝑎-𝑥², Proc. Amer. Math. Soc. 85 (1982), no. 3, 434–436. MR 656118, https://doi.org/10.1090/S0002-9939-1982-0656118-0
  • 6. Marek Kuczma, Functional equations in a single variable, Monografie Matematyczne, Tom 46, Państwowe Wydawnictwo Naukowe, Warsaw, 1968. MR 0228862
  • 7. R. M. May, Simple mathematical models with very complicated dynamics, Nature 261 (1976), 459-467.
  • 8. R. E. Rice, B. Schweizer, and A. Sklar, When is 𝑓(𝑓(𝑧))=𝑎𝑧²+𝑏𝑧+𝑐?, Amer. Math. Monthly 87 (1980), no. 4, 252–263. MR 567706, https://doi.org/10.2307/2321556
  • 9. O. M. Šarkovs′kiĭ, Co-existence of cycles of a continuous mapping of the line into itself, Ukrain. Mat. Ž. 16 (1964), 61–71 (Russian, with English summary). MR 0159905
  • 10. R. Tambs Lyche, Sur l'équation fonctionnelle d'Abel, Fund. Math. 5 (1924), 331-333.
  • 11. G. Zimmermann, Über die Existenz iterativer Wurzeln von Abbildungen, Inaugural-Dissertation, Philipps-Universität Marburg/Lahn, 1978.

Review Information:

Reviewer: Abe Sklar
Journal: Bull. Amer. Math. Soc. 9 (1983), 345-348
DOI: https://doi.org/10.1090/S0273-0979-1983-15202-3