Download PDF A First Course in Dynamics ICM Edition: with a Panorama of Recent Developments, by Boris Hasselblatt, Anatole Katok
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A First Course in Dynamics ICM Edition: with a Panorama of Recent Developments, by Boris Hasselblatt, Anatole Katok
Download PDF A First Course in Dynamics ICM Edition: with a Panorama of Recent Developments, by Boris Hasselblatt, Anatole Katok
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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.
- Published on: 2010-07-23
- Original language: English
- Dimensions: .0" h x .0" w x .0" l, .0 pounds
- Binding: Paperback
Review
"I highly recommend this book for an advanced undergraduate course in dynamical systems." Mathematical Reviews
About the Author
fm.author_biographical_note2
Anatole Katok is Raymond N. Shibley Professor of Mathematics at Pennsylvania State University.
Most helpful customer reviews
5 of 18 people found the following review helpful.
A Bit Heavy For Me
By The Dabbler
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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