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A First Course in Dynamics: with a Panorama of Recent Developments [Paperback]

Boris Hasselblatt , Anatole Katok
3.0 out of 5 stars  See all reviews (1 customer review)

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Book Description

June 23, 2003 0521587506 978-0521587501 1
The theory of dynamical systems has given rise to the vast new area variously called applied dynamics, nonlinear science, or chaos theory. This introductory text covers the central topological and probabilistic notions in dynamics ranging from Newtonian mechanics to coding theory. The only prerequisite is a basic undergraduate analysis course. The authors use a progression of examples to present the concepts and tools for describing asymptotic behavior in dynamical systems, gradually increasing the level of complexity. Subjects include contractions, logistic maps, equidistribution, symbolic dynamics, mechanics, hyperbolic dynamics, strange attractors, twist maps, and KAM-theory.

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A First Course in Dynamics: with a Panorama of Recent Developments + Introduction to the Modern Theory of Dynamical Systems (Encyclopedia of Mathematics and its Applications)
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Editorial Reviews

Review

"I highly recommend this book for an advanced undergraduate course in dynamical systems." Mathematical Reviews

Book Description

The theory of dynamical systems is a major mathematical discipline closely intertwined with all main areas of mathematics. Its concepts, methods and paradigms have greatly stimulated research in many sciences and given rise to the vast new area variously called applied dynamics, nonlinear science, or chaos theory. This elegant introduction to the subject combines mathematical rigor with copious examples of important applications, covering topics ranging from Newtonian mechanics to coding theory. It will be a valuable first textbook for senior undergraduate and beginning graduate students of mathematics, physics, and engineering.

Product Details

  • Paperback: 436 pages
  • Publisher: Cambridge University Press; 1 edition (June 23, 2003)
  • Language: English
  • ISBN-10: 0521587506
  • ISBN-13: 978-0521587501
  • Product Dimensions: 9.8 x 7.1 x 0.8 inches
  • Shipping Weight: 1.6 pounds (View shipping rates and policies)
  • Average Customer Review: 3.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #1,073,153 in Books (See Top 100 in Books)

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5 of 15 people found the following review helpful
3.0 out of 5 stars A Bit Heavy For Me February 25, 2010
Format:Paperback|Verified Purchase
This book has been very challenging for me. I'm not a mathematician (except in my dreams), and this book is heavy with abstract theory. One of the biggest challenges is that the book uses symbology not familiar to me, and there is no glossary of symbols (which would be VERY useful).

I would be interested in what others with a more mathematical background think about the book -- am I wasting my time trying to slog through it?

For someone just trying to get a feel for nonlinear dynamics and chaos, I strongly recommend Steven Strogatz's book "Nonlinear Dynamics And Chaos".
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