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Textbooks in Mathematical Sciences Ser.: Chaos : An Introduction to Dynamical Systems by Kathleen T. Alligood, James A. Yorke and Tim D. Sauer (2000, Trade Paperback)

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Product Information

Spanning the wide reach of nonlinear dynamics throughout mathematics and the natural and physical sciences, Chaos: An Introduction to Dynamical Systems develops and explains the most intriguing and fundamental elements of the topic, and examines their broad implications. Among the major topics included are discrete dynamical systems, chaos, fractals, nonlinear differential equations, and bifurcations.

Product Identifiers

Publisher
Springer New York
ISBN-10
0387946772
ISBN-13
9780387946771
eBay Product ID (ePID)
824246

Product Key Features

Author
Tim D. SAUER, James A. Yorke, Kathleen T. Alligood
Publication Name
Chaos : an Introduction to Dynamical Systems
Format
Trade Paperback
Language
English
Publication Year
2000
Series
Textbooks in Mathematical Sciences Ser.
Type
Textbook
Number of Pages
Xvii, 603 Pages

Dimensions

Item Length
10in
Item Height
0.5in
Item Width
7in
Item Weight
56.5 Oz

Additional Product Features

Number of Volumes
1 Vol.
Lc Classification Number
Qa299.6-433
Reviews
From the reviews: "... Written by some prominent contributors to the development of the field ... With regard to both style and content, the authors succeed in introducing junior/senior undergraduate students to the dynamics and analytical techniques associated with nonlinear systems, especially those related to chaos ... There are several aspects of the book that distinguish it from some other recent contributions in this area ... The treatment of discrete systems here maintains a balanced emphasis between one- and two- (or higher-) dimensional problems. This is an important feature since the dynamics for the two cases and methods employed for their analyses may differ significantly. Also, while most other introductory texts concentrate almost exclusively upon discrete mappings, here at least three of the thirteen chapters are devoted to differential equations, including the Poincare-Bendixson theorem. Add to this a discussion of $\omega$-limit sets, including periodic and strange attractors, as well as a chapter on fractals, and the result is one of the most comprehensive texts on the topic that has yet appeared." Mathematical Reviews , From the reviews:"â€¦ Written by some prominent contributors to the development of the field â€¦ With regard to both style and content, the authors succeed in introducing junior/senior undergraduate students to the dynamics and analytical techniques associated with nonlinear systems, especially those related to chaos â€¦ There are several aspects of the book that distinguish it from some other recent contributions in this area â€¦ The treatment of discrete systems here maintains a balanced emphasis between one- and two- (or higher-) dimensional problems. This is an important feature since the dynamics for the two cases and methods employed for their analyses may differ significantly. Also, while most other introductory texts concentrate almost exclusively upon discrete mappings, here at least three of the thirteen chapters are devoted to differential equations, including the Poincare-Bendixson theorem. Add to this a discussion of $\omega$-limit sets, including periodic and strange attractors, as well as a chapter on fractals, and the result is one of the most comprehensive texts on the topic that has yet appeared." Mathematical ReviewsÂ , From the reviews: "... Written by some prominent contributors to the development of the field ... With regard to both style and content, the authors succeed in introducing junior/senior undergraduate students to the dynamics and analytical techniques associated with nonlinear systems, especially those related to chaos ... There are several aspects of the book that distinguish it from some other recent contributions in this area ... The treatment of discrete systems here maintains a balanced emphasis between one- and two- (or higher-) dimensional problems. This is an important feature since the dynamics for the two cases and methods employed for their analyses may differ significantly. Also, while most other introductory texts concentrate almost exclusively upon discrete mappings, here at least three of the thirteen chapters are devoted to differential equations, including the Poincare-Bendixson theorem. Add to this a discussion of $\omega$-limit sets, including periodic and strange attractors, as well as a chapter on fractals, and the result is one of the most comprehensive texts on the topic that has yet appeared." Mathematical Reviews
Table of Content
One-Dimensional Maps.- Two-Dimensional Maps.- Chaos.- Fractals.- Chaos in Two-Dimensional Maps.- Chaotic Attractors.- Differential Equations.- Periodic Orbits and Limit Sets.- Chaos in Differential Equations.- Stable Manifolds and Crises.- Bifurcations.- Cascades.- State Reconstruction from Data.
Copyright Date
1996
Topic
Chaotic Behavior in Systems, System Theory, Physics / Mathematical & Computational, Mathematical Analysis
Dewey Decimal
515.3/52
Intended Audience
Scholarly & Professional
Dewey Edition
21
Illustrated
Yes
Genre
Science, Mathematics

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Most relevant reviews

5 out of 5 stars
by wdmpetulaJul 28, 2010
Chaos by Yorke, Alligood, and Sauer
This is a nice introduction to Mathematical Chaos (undergraduate level) by people who know something about this subject. It is very easy to read and understand. The price was right, also.

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