Book Review
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MathSciNet review:
1567460
Full text of 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.
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.
Rufus Isaacs, Iterates of fractional order, Canad. J. Math. 2 (1950), 409–416. MR 40560, DOI 10.4153/cjm-1950-038-8
Leo Jonker, A monotonicity theorem for the family $f_{a}(x)=a-x^{2}$, Proc. Amer. Math. Soc. 85 (1982), no. 3, 434–436. MR 656118, DOI 10.1090/S0002-9939-1982-0656118-0
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.
R. E. Rice, B. Schweizer, and A. Sklar, When is $f(f(z))=az^{2}+bz+c$?, Amer. Math. Monthly 87 (1980), no. 4, 252–263. MR 567706, DOI 10.2307/2321556
O. M. Šarkovs′kiĭ, Co-existence of cycles of a continuous mapping of the line into itself, Ukrain. Mat. . 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.
- 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.
- R. Isaacs, Iterates of fractional order, Canad. J. Math. 2 (1950), 409-416. MR 0040560
- 5.
- L. Jonker, A monotonicity theorem for the family ƒ, Proc. Amer. Math. Soc. 85 (1982), 434-436. MR 656118
- 6.
- M. Kuczma, Functional equations in a single variable, Monograf. Mat. Tom 46, PWN, Warsaw, 1968. MR 228862
- 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 ƒ(ƒ(z)) = az?, Amer. Math. Monthly 87 (1980), 252-263. MR 567706
- 9.
- A. N. Sharkovskiĭ, Co-existence of cycles of a continuous mapping of the line into itself, Ukrain. Mat. Zh. 16 (1964), 61-71. (Russian) MR 159905
- 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
