Full Product Details
Author: Pierre Collet ,
J.-P. Eckmann
Publisher: Birkhauser Boston Inc
Imprint: Birkhauser Boston Inc
Edition: Reprint of the 1st ed. 1980.
Dimensions:
Width: 15.50cm
, Height: 1.30cm
, Length: 23.50cm
Weight: 0.820kg
ISBN: 9780817649265
ISBN 10: 0817649263
Pages: 248
Publication Date: 10 September 2009
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: In Print
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Reviews
This book is a thorough and readable introduction to some aspects of the theory of one-dimensional dynamical systems!The kneading calculus of Milnor--Thurston receives its most accessible treatment to date in print!This is an important and beautiful exposition, both as an orientation for the reader unfamiliar with this theory and as a prelude to studying in greater depth some of the hard papers on the subject. --Mathematical Reviews (Review of the original hardcover edition) This book provides a good survey of recent developments in the study of the dynamics of smooth self-maps on the interval. It!deals with a subject whose literature often appears in physics journals. This literature suffers in general from a failure to distinguish between mathematical theorems and 'facts' determined empirically, usually by computer experiment. It is a difficult task to consider both of these types of information and carefully maintain the distinction (an absolute necessity from the point of view of a mathematician). The work under review seems to do a good job of this!On the whole this work is a good one meeting a need to survey recent results in this active and important area of mathematics. --Zentralblatt MATH (Review of the original hardcover edition)
From the reviews: This book is a thorough and readable introduction to some aspects of the theory of one-dimensional dynamical systems...The kneading calculus of Milnor-Thurston receives its most accessible treatment to date in print...This is an important and beautiful exposition, both as an orientation for the reader unfamiliar with this theory and as a prelude to studying in greater depth some of the hard papers on the subject. -Mathematical Reviews (Review of the original hardcover edition) This book provides a good survey of recent developments in the study of the dynamics of smooth self-maps on the interval. It...deals with a subject whose literature often appears in physics journals. This literature suffers in general from a failure to distinguish between mathematical theorems and 'facts' determined empirically, usually by computer experiment. It is a difficult task to consider both of these types of information and carefully maintain the distinction (an absolute necessity from the point of view of a mathematician). The work under review seems to do a good job of this...On the whole this work is a good one meeting a need to survey recent results in this active and important area of mathematics. -Zentralblatt MATH (Review of the original hardcover edition) This book is essentially a reprint of the influential and classic 1980 Edition ... in the area of one-dimensional dynamics for maps of the interval. ... make a positive addition to this vital milestone work in the field of dynamical systems. (Steve Pederson, Zentralblatt MATH, Vol. 1192, 2010)
