Since the popularization of chaos theory, great interest has been generated in non-linear dynamical systems. This text presents an introduction to the basic mathematical concepts and techniques needed to describe and analyze these, aimed at students who have taken a first course in calculus. After reviewing the basic ideas of differential equations, matrix algebra and iteration methods, first and second order continuous systems are discussed. Chapter Four investigates discrete systems and the final chapter is a collection of investigations that can be explored as more open ended tasks.
Reihe
Sprache
Verlagsort
Verlagsgruppe
Elsevier Science & Technology
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Illustrationen
Maße
Höhe: 175 mm
Breite: 242 mm
Gewicht
ISBN-13
978-0-340-67700-1 (9780340677001)
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Schweitzer Klassifikation
Review of basic ideas; first order continuous autonomous systems; second order continuous autonomous systems; discrete systems; projects; solutions to the tutorial problems; answers to the exercises; appendix A: DERIVE code for activities in chapter four; appendix B: references.