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Book review

Author(s) West, Thelma (ed.)
Title Continuum Theory and Dynamical Systems
Publisher Marcel Dekker
Year of publication 1993
Reviewed by Viorica-Cerasela Postolache

Continuum Theory and Dynamical Systems provides the proceedings of the Conference organized in Lafayette, Louisiana in 1993. The book exhibits nineteen new researches in these fields, in their full length, together with complete proofs and references.

The book deals with chaotic attractors, Henon and annulus maps, homeomorphisms, irrational rotations on simply connected domains, the study of (almost) periodicity, gives an example of periodic homeomorphism on the plane, horseshoelike mappings, connections between a continuous map and its inverse limit space, semigroups generated by maps topologically conjugate to contractions, prediction problems, new problems in continuum theory, dense embeddings into cubes and manifolds, self-homeomorphic star figures, Julia sets and so on. This volume can be recommended as a supplementary graduate text. The book will be of great interest to applied mathematicians, physicists, mathematically inclined engineers.

Intended to attract readers interested both in theory and applications the book includes modern topics such as: numerical examples, convergence analysis of treated algorithms, and emphasizes connections in physics, real and complex analysis, abstract algebra. Examples and carefully plotted pictures, illustrate the ideas and the concepts. This research level book is very well written all concepts being clearly presented. The table of contents is enough detailed. Also, the book contains an index of notions.

This material provides top quality original papers some of these having survey-type character. The book being very high specialized is designed mainly for the institutional market and for individuals seriously interested in the topic. Reading calls for acquaintance with elements of calculus.

Of course, the book is very well realized but the works have not unitary appearance. Someone are one row-written and another two (!) rows, while someone are 10 pt. written and another 12 pt.