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- catalog abstract "The behaviour under iteration of unimodal maps of an interval, such as the logistic map, has recently attracted considerable attention. It is not so widely known that a substantial theory has by now been built up for arbitrary continuous maps of an interval. The purpose of the book is to give a clear account of this subject, with complete proofs of many strong, general properties. In a number of cases these have previously been difficult of access. The analogous theory for maps of a circle is also surveyed. Although most of the results were unknown thirty years ago, the book will be intelligible to anyone who has mastered a first course in real analysis. Thus the book will be of use not only to students and researchers, but will also provide mathematicians generally with an understanding of how simple systems can exhibit chaotic behaviour.".
- catalog contributor b3662566.
- catalog contributor b3662567.
- catalog created "1992.".
- catalog date "1992".
- catalog date "1992.".
- catalog dateCopyrighted "1992.".
- catalog description "Includes bibliographical references and index.".
- catalog description "The behaviour under iteration of unimodal maps of an interval, such as the logistic map, has recently attracted considerable attention. It is not so widely known that a substantial theory has by now been built up for arbitrary continuous maps of an interval. The purpose of the book is to give a clear account of this subject, with complete proofs of many strong, general properties. In a number of cases these have previously been difficult of access. The analogous theory for maps of a circle is also surveyed. Although most of the results were unknown thirty years ago, the book will be intelligible to anyone who has mastered a first course in real analysis. Thus the book will be of use not only to students and researchers, but will also provide mathematicians generally with an understanding of how simple systems can exhibit chaotic behaviour.".
- catalog extent "viii, 247 p. :".
- catalog hasFormat "Dynamics in one dimension.".
- catalog identifier "0387553096 (alk. paper)".
- catalog identifier "3540553096 (alk. paper) :".
- catalog isFormatOf "Dynamics in one dimension.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1513.".
- catalog isPartOf "Lecture notes in mathematics ; 1513".
- catalog issued "1992".
- catalog issued "1992.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Dynamics in one dimension.".
- catalog subject "500 s 514/.322 20".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Iterative methods (Mathematics)".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1513 QA611.5".
- catalog subject "Topological dynamics.".
- catalog subject "Topology.".
- catalog title "Dynamics in one dimension / Louis S. Block, William A. Coppel.".
- catalog type "text".