Dynamics in One Dimension

Louis S. Block

ISBN 10: 3540553096 / ISBN 13: 9783540553090

Published by Springer, Springer Vieweg, 1992

About this Item

Druck auf Anfrage Neuware - Printed after ordering - The behaviour under iteration of unimodal maps of aninterval, such as the logistic map, has recently attractedconsiderable attention. It is not so widely known that asubstantial theory has by now been built up for arbitrarycontinuous maps of an interval. The purpose of the book isto give a clear account of this subject, with completeproofs of many strong, general properties. In a number ofcases these have previously been difficult of access. Theanalogous 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 afirst course in real analysis. Thus the book will be of usenot only to students and researchers, but will also providemathematicians generally with an understanding of how simplesystems can exhibit chaotic behaviour.

Seller Inventory # 9783540553090

Bibliographic Details

• Title: Dynamics in One Dimension
• Publisher: Springer, Springer Vieweg
• Publication Date: 1992
• Language: English
• ISBN 10: 3540553096
• ISBN 13: 9783540553090
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 15D millimeters 235 millimeters width by 155 millimeters height by 15 millimeters depth
• Weight: 400 grams

About this title

Synopsis

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.