Get Free Shipping on orders over $89
Modern Birkhï½user Classics : Modern Birkhauser Classics - Pierre Collet

Modern Birkhï½user Classics

By: Pierre Collet, J.-P. Eckmann

Paperback | 10 September 2009

At a Glance

Paperback


$84.99

or 4 interest-free payments of $21.25 with

 or 

Ships in 5 to 7 business days

Iterations of continuous maps of an interval to itself serve as the simplest examples of models for dynamical systems. These models present an interesting mathematical structure going far beyond the simple equilibrium solutions one might expect. If, in addition, the dynamical system depends on an experimentally controllable parameter, there is a corresponding mathematical structure revealing a great deal about interrelations between the behavior for different parameter values.

This work explains some of the early results of this theory to mathematicians and theoretical physicists, with the additional hope of stimulating experimentalists to look for more of these general phenomena of beautiful regularity, which oftentimes seem to appear near the much less understood chaotic systems. Although continuous maps of an interval to itself seem to have been first introduced to model biological systems, they can be found as models in most natural sciences as well as economics.

Iterated Maps on the Interval as Dynamical Systems is a classic reference used widely by researchers and graduate students in mathematics and physics, opening up some new perspectives on the study of dynamical systems .

Industry Reviews

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)

More in Interdisciplinary Studies

Angertainment : How social media outrage ruined everything - Ed Coper
The Coming Storm : Power, Conflict and Warnings from History - Odd Arne Westad
The Next Conversation : Argue Less, Talk More - Jefferson Fisher

RRP $36.99

$26.75

28%
OFF
Ripley's Believe It or Not! 2026 - Ripley

RRP $49.99

$37.75

24%
OFF
All About Love: The Deluxe Collector's Edition : New Visions - bell hooks
Reading Pictures : A History of Illustration - D. B. Dowd

RRP $94.99

$71.75

24%
OFF
Orientalism : Western Conceptions of the Orient - Edward W. Said

RRP $26.99

$20.75

23%
OFF
Manufacturing Consent : The Political Economy of the Mass Media - Noam Chomsky
Representation : Narrative, Indigeneity and Knowledge Construction - Amith Kumar P.V.
War or Peace? : The Indo-Pacific on the Cusp - Dennis Hardy

RRP $326.00

$280.99

14%
OFF
War or Peace? : The Indo-Pacific on the Cusp - Dennis Hardy