عنوان

Dynamical systems by example /

(Number (ISBN

3030159159

(Number (ISBN

3030159167

(Number (ISBN

3030159175

(Number (ISBN

9783030159153

(Number (ISBN

9783030159160

(Number (ISBN

9783030159177

Erroneous ISBN

3030159140

Erroneous ISBN

9783030159146

Title Proper

Dynamical systems by example /

General Material Designation

[Book]

First Statement of Responsibility

Luís Barreira, Claudia Valls.

Place of Publication, Distribution, etc.

Cham, Switzerland :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

2019.

Specific Material Designation and Extent of Item

1 online resource (ix, 223 pages) :

Other Physical Details

illustrations

Series Title

Problem books in mathematics,

ISSN of Series

0941-3502

Text of Note

Includes bibliographical references and index.

Text of Note

Part I. Theory and Problems -- I.1 Basic Theory -- I.2 Topological Dynamics -- I.3 Low-Dimensional Dynamics -- I.4 Hyperbolic Dynamics -- I.5 Symbolic Dynamics -- I.6 Ergodic Theory -- Part II. Problems and Solutions -- II. 1 Basic Theory -- II. 2 Topological Dynamics -- II. 3 Low-Dimensional Dynamics -- II. 4 Hyperbolic Dynamics -- II. 5 Symbolic Dynamics -- II. 6 Ergodic Theory -- References -- Index.

0

Text of Note

This book comprises an impressive collection of problems that cover a variety of carefully selected topics on the core of the theory of dynamical systems. Aimed at the graduate/upper undergraduate level, the emphasis is on dynamical systems with discrete time. In addition to the basic theory, the topics include topological, low-dimensional, hyperbolic and symbolic dynamics, as well as basic ergodic theory. As in other areas of mathematics, one can gain the first working knowledge of a topic by solving selected problems. It is rare to find large collections of problems in an advanced field of study much less to discover accompanying detailed solutions. This text fills a gap and can be used as a strong companion to an analogous dynamical systems textbook such as the authors' own Dynamical Systems (Universitext, Springer) or another text designed for a one- or two-semester advanced undergraduate/graduate course. The book is also intended for independent study. Problems often begin with specific cases and then move on to general results, following a natural path of learning. They are also well-graded in terms of increasing the challenge to the reader. Anyone who works through the theory and problems in Part I will have acquired the background and techniques needed to do advanced studies in this area. Part II includes complete solutions to every problem given in Part I with each conveniently restated. Beyond basic prerequisites from linear algebra, differential and integral calculus, and complex analysis and topology, in each chapter the authors recall the notions and results (without proofs) that are necessary to treat the challenges set for that chapter, thus making the text self-contained.

Source for Acquisition/Subscription Address

Springer

Title

Dynamical systems by example.

International Standard Book Number

9783030159146

Differentiable dynamical systems.

Differentiable dynamical systems.

MAT034000

PBWR

PBWR

Number

Edition

Class number

Barreira, Luis,1968-

Valls, Claudia,1973-

Date of Transaction

20200823084828.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y