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Understanding Nonlinear Dynamics

ISBN-10: 0387944400
ISBN-13: 9780387944401
Edition: 1995
List price: $84.95 Buy it from $39.69
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Description: UNDERSTANDING NONLINEAR DYNAMICS is based on an undergraduate course taught for many years to students in the biological sciences. The text provides a clear and accessible development of many concepts from contemporary dynamics, including stability  More...

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Book details

List price: $84.95
Copyright year: 1995
Publisher: Springer
Publication date: 12/19/1997
Binding: Paperback
Pages: 420
Size: 6.75" wide x 9.25" long x 0.50" tall
Weight: 1.430

UNDERSTANDING NONLINEAR DYNAMICS is based on an undergraduate course taught for many years to students in the biological sciences. The text provides a clear and accessible development of many concepts from contemporary dynamics, including stability and multistability, cellular automata and excitable media, fractals, cycles, and chaos. A chapter on time-series analysis builds on this foundation to provide an introduction to techniques for extracting information about dynamics from data. The text will be useful for courses offered in the life sciences or other applied science programs, or as a supplement to emphasize the application of subjects presented in mathematics or physics courses. Extensive examples are derived from the experimental literature, and numerous exercise sets can be used in teaching basic mathematical concepts and their applications. Concrete applications of the mathematics are illustrated in such areas as biochemistry, neurophysiology, cardiology, and ecology. The text also provides an entry point for researchers not familiar with mathematics but interested in applications of nonlinear dynamics to the life sciences.

Preface
About the Authors
Finite-Difference Equations
Boolean Networks and Cellular Automata
Self-Similarity and Fractal Geometry
One-Dimensional Differential Equations
Two-Dimensional Differential Equations
Time-Series Analysis
A Multi-Functional Appendix
A Note on Computer Notation
Solutions to Selected Exercises
Bibliography
Index

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