Dynamical Systems with Applications using Python
Dynamical Systems with Applications using Python
复制标题
使用 Python 的动态系统和应用程序
DOI：
10.1007/978-3-319-78145-7
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
S. Lynch
中科院分区：
文献类型：
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作者：
S. Lynch
这本书在Python的帮助下介绍了动力系统的理论。它是为高年级本科生和研究生写的。第1章提供了python的入门教程——新用户应该仔细阅读这一章，而那些比较熟悉和有经验的用户会发现这一章是一个有用的参考来源。本书的第一部分使用微分方程处理连续系统，包括普通和延迟微分方程（第2-12章），第二部分致力于离散系统的研究（第13-17章），第18-21章处理连续和离散系统。第22章给出了课程作业的示例，并列出了在计算机实验室中参加的三个基于Python的考试，这些考试可以使用Python。第23章列出了书中所有练习的答案。应该指出的是，动力系统理论并不局限于这些主题，还包括偏微分方程，积分和积分-微分方程，以及随机系统，例如。前言末尾给出的参考文献[1-6]为感兴趣的读者提供了更多信息。作者追求的是广泛的覆盖面，而不是精细的细节，定理和证明保持在最低限度。材料没有被功能分析和群理论定义所蒙蔽，因此对于具有一般数学背景的读者来说是可以理解的。书中涉及的一些话题在其他地方很少涉及。第9-12章和第16-21章的大部分材料是研究生水平的，并且受到作者自己研究兴趣的影响。这些章节的理论比本书其他章节的理论要多，因为在其他任何地方都很难找到。研究发现，这些章节对高年级本科生的专题工作尤其有用。本书其他章节中的理论在其他文本中得到了更全面的处理，其中一些可以在相应章节的参考资料部分找到。这本书有一个非常动手的方法，把读者从基本理论一直到最近发表的研究材料。v
This book provides an introduction to the theory of dynamical systems with the aid of Python. It is written for both senior undergraduates and graduate students. Chapter 1 provides a tutorial introduction to Python—new users should go through this chapter carefully while those moderately familiar and experienced users will find this chapter a useful source of reference. The first part of the book deals with continuous systems using differential equations, including both ordinary and delay differential equations (Chapters 2–12), the second part is devoted to the study of discrete systems (Chapters 13–17), and Chapters 18–21 deal with both continuous and discrete systems. Chapter 22 gives examples of coursework and also lists three Python-based examinations to be sat in a computer laboratory with access to Python. Chapter 23 lists answers to all of the exercises given in the book. It should be pointed out that dynamical systems theory is not limited to these topics but also encompasses partial differential equations, integral and integro-differential equations, and stochastic systems, for instance. References [1–6] given at the end of the Preface provide more information for the interested reader. The author has gone for breadth of coverage rather than fine detail and theorems with proofs are kept at a minimum. The material is not clouded by functional analytic and group theoretical definitions, and so is intelligible to readers with a general mathematical background. Some of the topics covered are scarcely covered elsewhere. Most of the material in Chapters 9–12 and 16–21 is at postgraduate level and has been influenced by the author’s own research interests. There is more theory in these chapters than in the rest of the book since it is not easily accessed anywhere else. It has been found that these chapters are especially useful as reference material for senior undergraduate project work. The theory in other chapters of the book is dealt with more comprehensively in other texts, some of which may be found in the references section of the corresponding chapter. The book has a very hands-on approach and takes the reader from the basic theory right through to recently published research material. v