应用数学互动学习中动力系统定性分析的方法

S. T. Huseynov
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引用次数: 0

摘要

本文致力于现代应用数学教育中更为重要的领域:利用计算机数学的交互性对动力系统进行定性分析。作者开发了通用的方法:使用混合技术-符号和数值计算。文中给出了一些具有原始程序代码的实例和相应的符号计算函数的计算机数学可视化,并以二维和三维图形的形式呈现,便于定性分析。
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Methodical approaches for qualitative analysis of dynamical systems in interactive learning of applied mathematics
The paper has devoted to the much more important field of modern applied mathematics education: using interactivity of computer mathematics for qualitative analysis of dynamical systems. Author has developed universal methodical approaches: using a hybrid technique - both symbolic and numerical computations. In the paper it has been showed number of examples with original program cods and relevant computer mathematics visualization of symbolically computed functions, which are presented in 2D and 3D graphs to perform of more convenient qualitative analysis.
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