One-Dimensional, First-Order Systems.- Multi-Dimensional, First-Order, Linear Systems: Solution.- Multi-Dimensional, First-Order, Linear Systems: Characterization.- Multi-Dimensional, First-Order, Nonlinear Systems.- Higher-Order and Non-Autonomous Systems.- Examples of Two-Dimensional Systems.
From the reviews: "Discrete dynamical systems are an interesting subject both for mathematicians and for applied scientists. This book is an introduction to this topic. It consists of 6 chapters. The first one focuses on the analysis of the evolution of state variables in one dimensional first-order autonomous linear systems. The second chapter develops the solutions for multidimensional first-order autonomous linear systems. ... The presentation is clear and systematic. ... it is for advanced undergraduate and graduate students in mathematics and applied scientists. e.g. economy, biology etc." (Ahmed Hegazi, Zentralblatt MATH, Vol. 1107 (9), 2007) "The book under review gives an elementary introduction to the theory of discrete dynamical systems. ... The presentation is clear and systematic. ... 'the book is designed for advanced undergraduate and graduate students in the fields of demography, ecology, economics, engineering, evolutionary biology, finance, mathematics, and physics' with some basic knowledge in linear algebra and differential calculus." (Christian Potzsche, Mathematical Reviews, Issue 2008 c)
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