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.
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About the Author
James T. Sandefur, Professor of Mathematics, Department of Mathematics, Georgetown University, Washington DC.
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3 of 3 people found the following review helpful:
5.0 out of 5 stars
Excellent textbook on chaos!,
By A Customer
This review is from: Discrete Dynamical Systems: Theory and Applications (Hardcover)
Although this text lacks the brightly-colored fractals of many other works, the coverage it gives to the mathematics end of things more than makes up for it. It deals very well with the concepts of statistics and dynamic equations that are necessary for the understanding of chaos, presuming very little in the way of mathematical knowledge on the part of the reader. All definitions are clearly delineated, and the answers to the exercises are provided in the back.
5.0 out of 5 stars
Down to Earth treatment of nonlinear dynamics and chaos,
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This review is from: Discrete Dynamical Systems: Theory and Applications (Hardcover)
This is one of those excellent textbooks that did not reach the level of popularity that
it deserves. The book is very well written. The layout of text/equations is handsome. The examples are very interesting (gamblers ruin, finance, population dynamics, Markov chains...) The book is not glitzy like a JC Penny Christmas catalog but looks and feels like a math book. Overall a very wise investment for the autodidact or student !
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