عنوان
پدید آورنده
موضوع
رده
QA614.8 .H38 2003
QA614
.
8
.
H38
2003
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
0521583047
(Number (ISBN
0521587506
(Number (ISBN
9780521583046
(Number (ISBN
9780521587501
NATIONAL BIBLIOGRAPHY NUMBER
Number
b736054
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
A first course in dynamics :
General Material Designation
[Book]
Other Title Information
with a panorama of recent developments /
First Statement of Responsibility
Boris Hasselblatt, Anatole Katok.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York :
Name of Publisher, Distributor, etc.
Cambridge University Press,
Date of Publication, Distribution, etc.
2003.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
x, 424 pages :
Other Physical Details
illustrations ;
Dimensions
26 cm
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
pt. 1 A Course in Dynamics: From Simple to Complicated Behavior -- 2 Systems with Stable Asymptotic Behavior -- 3 Linear Maps and Linear Differential Equations -- 4 Recurrence and Equidistribution on the Circle -- 5 Recurrence and Equidistribution in Higher Dimension -- 6 Conservative Systems -- 7 Simple Systems with Complicated Orbit Structure -- 8 Entropy and Chaos -- pt. 2 Panorama of Dynamical Systems -- 9 Simple Dynamics as a Tool -- 10 Hyperbolic Dynamics -- 11 Quadratic Maps -- 12 Homoclinic Tangles -- 13 Strange Attractors -- 14 Variational Methods, Twist Maps, and Closed Geodesics -- 15 Dynamics, Number Theory, and Diophantine Approximatin.
0
SUMMARY OR ABSTRACT
Text of Note
"The theory of dynamical systems is a major mathematical discipline closely intertwined with all main areas of mathematics. It has greatly stimulated research in many sciences and given rise to the vast new area variously called applied dynamics, nonlinear science, or chaos theory. This introduction for senior undergraduate and beginning graduate students of mathematics, physics, and engineering combines mathematical rigor with copious examples of important applications. It covers the central topological and probabilistic notions in dynamics ranging from Newtonian mechanics to coding theory. Readers need not be familiar with manifolds or measure theory; the only prerequisite is a basic undergraduate analysis course.
Text of Note
The authors begin by describing the wide array of scientific and mathematical questions that dynamics can address. They then use a progression of examples to present the concepts and tools for describing asymptotic behavior in dynamical systems, gradually increasing the level of complexity. The final chapters introduce modern developments and applications of dynamics. Subjects include contractions, logistic maps, equidistribution, symbolic dynamics, mechanics, hyperbolic dynamics, strange attractors, twist maps, and KAM-theory."--Pub. desc.
TOPICAL NAME USED AS SUBJECT
Differentiable dynamical systems.
Dynamique différentiable.
31.46 functional analysis.
Differentiaalvergelijkingen.
Differentiable dynamical systems.
Differentiable dynamical systems.
Differenzierbares dynamisches System
Dynamische systemen.
Niet-lineaire vergelijkingen.
DEWEY DECIMAL CLASSIFICATION
Number
514/
.
74
Edition
21
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA614
.
8
Book number
.
H38
2003
OTHER CLASS NUMBERS
Class number
31
.
46
Class number
31
.
46
.
Class number
37-01
Class number
MAT
344f
Class number
SK
810
System Code
bcl
System Code
bcl
System Code
msc
System Code
stub
System Code
rvk
PERSONAL NAME - PRIMARY RESPONSIBILITY
Hasselblatt, Boris.
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Katok, A. B.
ORIGINATING SOURCE
Date of Transaction
20201203193723.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
