Discrete dynamical systems : theory and applications 🔍
James T. Sandefur Oxford [England]: Clarendon Press ; New York: Oxford University Press, Oxford Clarendon Press ; New York Oxford University Press, 1990
英语 [en] · PDF · 19.6MB · 1990 · 📗 未知类型的图书 · 🚀/duxiu/ia · Save
描述
Discrete dynamics is the study of change. In particular, it shows how to translate real world situations into the language of mathematics. With the increase in computational ability and the recent interest in chaos, discrete dynamics has emerged as an important area of mathematical study. This text is the first to provide an elementary introduction to the world of dynamical systems. The aim of the text is to explain both the wide variety of techniques used to study dynamical systems and their many applications in areas ranging from population growth to problems in genetics. This investigation leads to the fruitful concepts of stability, strange attractors, chaos, and fractals. Very little previous mathematical knowledge is assumed and students with an elementary exposure to calculus and linear algebra will be able to follow the text easily. A large number of worked examples and exercises are provided to assist instruction. Throughout, students are encouraged to experiment with models of dynamical systems on computers and explore this fascinating area of mathematics on their own.
备选作者
Sandefur, James T.
备用出版商
IRL Press at Oxford University Press
备用出版商
Oxford Institute for Energy Studies
备用出版商
German Historical Institute London
备用版本
United Kingdom and Ireland, United Kingdom
备用版本
Oxford [England], New York, England, 1990
备用版本
1St Edition, First Edition, PS, 1990
备用版本
1990-09-01
元数据中的注释
Includes bibliographical references (p. [427]) and index.
备用描述
xiii, 445 pages : 26 cm
An elementary introduction to the world of dynamical systems and chaos. Dynamical systems provide a mathematical means of modelling and analyzing aspects of the changing world around us. The text aims to introduce both the techniques used in studying these systems and their applications
Includes bibliographical references (page 427) and index
Machine derived contents note: 1. Introduction to Dynamical Systems -- 2. First Order Linear Dynamical Systems -- 3. Introduction to Nonlinear Dynamical Systems -- 4. Complex Behavior for Nonlinear Dynamical Systems -- 5. Higher Order Linear Dynamical Systems -- 6. Dynamical Systems of Several Equations -- 7. Nonlinear Systems of Several Equations
开源日期
2023-06-28
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