Introduction to non-linear systems
著者
書誌事項
Introduction to non-linear systems
（Modular mathematics series）
Arnold, 1996
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内容説明・目次
内容説明
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.
目次
- 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.
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