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003 - CONTROL NUMBER IDENTIFIER |
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005 - DATE AND TIME OF LATEST TRANSACTION |
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20140310151444.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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100301s2010 xxu| s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781441917409 |
|
978-1-4419-1740-9 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA313 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
515.39 |
Edition number |
23 |
|
Classification number |
515.48 |
Edition number |
23 |
264 #1 - |
-- |
New York, NY : |
-- |
Springer New York, |
-- |
2010. |
912 ## - |
-- |
ZDB-2-SMA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Seydel, Rüdiger. |
Relator term |
author. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Practical Bifurcation and Stability Analysis |
Medium |
[electronic resource] / |
Statement of responsibility, etc |
by Rüdiger Seydel. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XV, 477p. 200 illus. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Interdisciplinary Applied Mathematics, |
International Standard Serial Number |
0939-6047 ; |
Volume number/sequential designation |
5 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
and Prerequisites -- Basic Nonlinear Phenomena -- Applications and Extensions -- Principles of Continuation -- Calculation of the Branching Behavior of Nonlinear Equations -- Calculating Branching Behavior of Boundary-Value Problems -- Stability of Periodic Solutions -- Qualitative Instruments -- Chaos. |
520 ## - SUMMARY, ETC. |
Summary, etc |
This book covers the central role that bifurcations play in nonlinear phenomena, explaining mechanisms of how stability is gained or lost. It emphasizes practical and computational methods for analyzing dynamical systems. A wide range of phenomena between equilibrium and chaos is explained and illustrated by examples from science and engineering. The book is a practical guide for performing parameter studies and includes exercises. Combining an introduction on the textbook level with an exposition of computational methods, this book addresses the mathematical needs of scientists and engineers. It should be of interest to those in a wide variety of disciplines, including physics, mechanical engineering, electrical engineering, chemistry and chemical engineering, biology, and medicine. Both graduate students (in courses on dynamical systems, stability analysis, differential equations, and chaos) and professionals will be able to use the book equally well. The introduction avoids mathematical formalism, and the only required background is calculus. In the third edition there is a chapter on applications and extensions of standard ODE approaches, for example, to delay equations, to differential-algebraic equations, and to reaction-diffusion problems. Additional material is inserted, including the topics deterministic risk, pattern formation, and control of chaos, and many further references. Review of Earlier Edition: "The outcome is impressive. The book is beautifully written in a style that seeks not only to develop the subject matter but also to expose the thought processes behind the mathematics." Proceedings of the Edinburgh Mathematical Society |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Differentiable dynamical systems. |
|
Topical term or geographic name as entry element |
Numerical analysis. |
|
Topical term or geographic name as entry element |
Mathematical physics. |
|
Topical term or geographic name as entry element |
Engineering mathematics. |
|
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 |
Appl.Mathematics/Computational Methods of Engineering. |
|
Topical term or geographic name as entry element |
Mathematical Methods in Physics. |
|
Topical term or geographic name as entry element |
Numerical Analysis. |
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 |
Display text |
Printed edition: |
International Standard Book Number |
9781441917393 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-1-4419-1740-9 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |