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A First Course In Chaotic Dynamical Systems: Theory And Experiment (Studies in Nonlinearity) [Hardcover]

Robert L. Devaney
4.2 out of 5 stars  See all reviews (8 customer reviews)

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Book Description

October 21, 1992 0201554062 978-0201554069
A First Course in Chaotic Dynamical Systems: Theory and Experiment is the first book to introduce modern topics in dynamical systems at the undergraduate level. Accessible to readers with only a background in calculus, the book integrates both theory and computer experiments into its coverage of contemporary ideas in dynamics. It is designed as a gradual introduction to the basic mathematical ideas behind such topics as chaos, fractals, Newton’s method, symbolic dynamics, the Julia set, and the Mandelbrot set, and includes biographies of some of the leading researchers in the field of dynamical systems. Mathematical and computer experiments are integrated throughout the text to help illustrate the meaning of the theorems presented.Chaotic Dynamical Systems Software, Labs 1–6 is a supplementary laboratory software package, available separately, that allows a more intuitive understanding of the mathematics behind dynamical systems theory. Combined with A First Course in Chaotic Dynamical Systems, it leads to a rich understanding of this emerging field.

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Editorial Reviews

About the Author

Professor Robert L. Devaney received his A.B. from Holy Cross College and his Ph.D. from the University of California at Berkeley in 1973. He taught at Northwestern University, Tufts University, and the University of Maryland before coming to Boston University in 1980. He served there as chairman of the Department of Mathematics from 1983 to 1986. His main area of research is dynamical systems, including Hamiltonian systems, complex analytic dynamics, and computer experiments in dynamics. He is the author of An Introduction to Chaotic Dynamical Systems, and Chaos, Fractals, and Dynamics: Computer Experiments in Modern Mathematics, which aims to explain the beauty of chaotic dynamics to high school students and teachers.

Product Details

  • Series: Studies in Nonlinearity
  • Hardcover: 320 pages
  • Publisher: Westview Press (October 21, 1992)
  • Language: English
  • ISBN-10: 0201554062
  • ISBN-13: 978-0201554069
  • Product Dimensions: 0.9 x 6.7 x 9.8 inches
  • Shipping Weight: 1.5 pounds (View shipping rates and policies)
  • Average Customer Review: 4.2 out of 5 stars  See all reviews (8 customer reviews)
  • Amazon Best Sellers Rank: #253,163 in Books (See Top 100 in Books)

Customer Reviews

4.2 out of 5 stars
(8)
4.2 out of 5 stars
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Most Helpful Customer Reviews
12 of 12 people found the following review helpful
5.0 out of 5 stars Excellent book. Explains concepts clearly. May 22, 1998
By A Customer
Format:Hardcover
I went from knowing absolutlely nothing about dynamical systems to being able to look at a point on the Mandelbrot Set and visualize what the corresponding Julia Set looks like. Ever wonder why weather cannot be predicted accurately?? Read this book...
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5 of 5 people found the following review helpful
3.0 out of 5 stars There Are Better Choices February 25, 2010
Format:Hardcover|Verified Purchase
This is a fine text, and I was able to follow it fairly easily. However, it is rather dated (1992) and there have been improvements in the subject in several areas. I found Steven Strogatz's "Nonlinear Dynamics And Chaos" (2001) a significantly better book for both content and readability.
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6 of 8 people found the following review helpful
5.0 out of 5 stars Nice begginers text July 3, 2001
Format:Hardcover|Verified Purchase
This text is a great begginners guide to chaotic systems, it provides very clear explanations and proofs as well as some examples to help you along.
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1 of 1 people found the following review helpful
4.0 out of 5 stars Good text for a second or third year course December 18, 2012
Format:Hardcover
This is a good textbook to use for a second or third year course introducing dynamical systems. Using this book you could teach a course that both isn't too simple minded and yet isn't too abstract. The material in this book also motivates a lot of further deep material in dynamical systems, and I think that it could be encouraging to students who are seeing metric spaces, complex analysis and differential equations in purer settings to see that this theory has tangible applications. This would also be a good course for students not majoring in mathematics, to see that mathematics can be exciting in a way that a first year calculus or linear algebra course is not. There aren't many mathematics courses that could usefully be taken by mathematics students and non-mathematics students; the only other topic I can see being suitable is classical geometry.
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