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Dynamical Systems (Record no. 43669)

MARC details
000 -LEADER
fixed length control field 03525nam a22005657a 4500
001 - CONTROL NUMBER
control field sulb-eb0021577
003 - CONTROL NUMBER IDENTIFIER
control field BD-SySUS
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20160413122150.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 121205s2013 xxk| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781447148357
-- 978-1-4471-4835-7
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-1-4471-4835-7
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA313
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBWR
Source bicssc
Subject category code MAT034000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.39
Edition number 23
Classification number 515.48
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Barreira, Luis.
Relator term author.
245 10 - TITLE STATEMENT
Title Dynamical Systems
Medium [electronic resource] :
Remainder of title An Introduction /
Statement of responsibility, etc. by Luis Barreira, Claudia Valls.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture London :
Name of producer, publisher, distributor, manufacturer Springer London :
-- Imprint: Springer,
Date of production, publication, distribution, manufacture, or copyright notice 2013.
300 ## - PHYSICAL DESCRIPTION
Extent IX, 209 p. 44 illus.
Other physical details online resource.
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
347 ## - DIGITAL FILE CHARACTERISTICS
File type text file
Encoding format PDF
Source rda
490 1# - SERIES STATEMENT
Series statement Universitext,
International Standard Serial Number 0172-5939
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Introduction -- Basic Notions and Examples -- Topological Dynamics -- Low-Dimensional Dynamics -- Hyperbolic Dynamics I -- Hyperbolic Dynamics II -- Symbolic Dynamics -- Ergodic Theory.
520 ## - SUMMARY, ETC.
Summary, etc. The theory of dynamical systems is a broad and active research subject with connections to most parts of mathematics. Dynamical Systems: An Introduction undertakes the difficult task to provide a self-contained and compact introduction. Topics covered include topological, low-dimensional, hyperbolic and symbolic dynamics, as well as a brief introduction to ergodic theory. In particular, the authors consider topological recurrence, topological entropy, homeomorphisms and diffeomorphisms of the circle, Sharkovski's ordering, the Poincaré-Bendixson theory, and the construction of stable manifolds, as well as an introduction to geodesic flows and the study of hyperbolicity (the latter is often absent in a first introduction). Moreover, the authors introduce the basics of symbolic dynamics, the construction of symbolic codings, invariant measures, Poincaré's recurrence theorem and Birkhoff's ergodic theorem. The exposition is mathematically rigorous, concise and direct: all statements (except for some results from other areas) are proven. At the same time, the text illustrates the theory with many examples and 140 exercises of variable levels of difficulty. The only prerequisites are a background in linear algebra, analysis and elementary topology. This is a textbook primarily designed for a one-semester or two-semesters course at the advanced undergraduate or beginning graduate levels. It can also be used for self-study and as a starting point for more advanced topics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Dynamics.
Topical term or geographic name as entry element Ergodic theory.
Topical term or geographic name as entry element Global analysis (Mathematics).
Topical term or geographic name as entry element Manifolds (Mathematics).
Topical term or geographic name as entry element Differential equations.
Topical term or geographic name as entry element Hyperbolic geometry.
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Dynamical Systems and Ergodic Theory.
Topical term or geographic name as entry element Global Analysis and Analysis on Manifolds.
Topical term or geographic name as entry element Ordinary Differential Equations.
Topical term or geographic name as entry element Hyperbolic Geometry.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Valls, Claudia.
Relator term author.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9781447148340
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Universitext,
International Standard Serial Number 0172-5939
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://dx.doi.org/10.1007/978-1-4471-4835-7">http://dx.doi.org/10.1007/978-1-4471-4835-7</a>
912 ## -
-- ZDB-2-SMA
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type

No items available.