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Understanding Nonlinear Dynamics : Texts in Applied Mathematics - Daniel Kaplan

Understanding Nonlinear Dynamics

Texts in Applied Mathematics

Hardcover Published: 13th April 1995
ISBN: 9780387944234
Number Of Pages: 420

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Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics ( TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. About the Authors Daniel Kaplan specializes in the analysis of data using techniques motivated by nonlinear dynamics. His primary interest is in the interpretation of irregular physiological rhythms, but the methods he has developed have been used in geo- physics, economics, marine ecology, and other fields. He joined McGill in 1991, after receiving his Ph.D from Harvard University and working at MIT. His un- dergraduate studies were completed at Swarthmore College. He has worked with several instrumentation companies to develop novel types of medical monitors.

Series Preface
About the Authors
Preface
Finite-Difference Equationsp. 1
Boolean Networks and Cellular Automatap. 55
Self-Similarity and Fractal Geometryp. 105
One-Dimensional Differential Equationsp. 147
Two-Dimensional Differential Equationsp. 209
Time-Series Analysisp. 279
Appendix A: A Multi-Functional Appendixp. 359
Appendix B: A Note on Computer Notationp. 381
Solutions to Selected Exercisesp. 385
Bibliographyp. 401
Indexp. 409
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387944234
ISBN-10: 0387944230
Series: Texts in Applied Mathematics
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 420
Published: 13th April 1995
Publisher: SPRINGER VERLAG GMBH
Country of Publication: US
Dimensions (cm): 23.39 x 15.6  x 2.54
Weight (kg): 0.79

Earn 250 Qantas Points
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