Articles liés à Dynamics in One Dimension

Dynamics in One Dimension - Couverture souple

Block, Louis S.; Coppel, William A.

 
9783540553090: Dynamics in One Dimension
Couverture souple
ISBN 10 : 3540553096 ISBN 13 : 9783540553090
Editeur : Springer, 2009

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de la quatrième de couverture

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2009
Langue
anglais
ISBN 10 
3540553096
ISBN 13 
9783540553090
Reliure
Broché
Nombre de pages
260
Coordonnées du fabricant
ProductSafety@springernature.com
ProductSafety@springernature.com

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