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Dynamical Systems (Dover Books on Mathematics) [Paperback]

Shlomo Sternberg
5.0 out of 5 stars  See all reviews (2 customer reviews)

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Book Description

June 23, 2010 0486477053 978-0486477053
Celebrated mathematician Shlomo Sternberg, a pioneer in the field of dynamical systems, created this modern one-semester introduction to the subject for his classes at Harvard University. Its wide-ranging treatment covers one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials offer a variety of online components, including PowerPoint lecture slides for professors and MATLAB exercises.
"Even though there are many dynamical systems books on the market, this book is bound to become a classic. The theory is explained with attractive stories illustrating the theory of dynamical systems, such as the Newton method, the Feigenbaum renormalization picture, fractal geometry, the Perron-Frobenius mechanism, and Google PageRank." — Oliver Knill, PhD, Preceptor of Mathematics, Harvard University.

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Product Details

  • Series: Dover Books on Mathematics
  • Paperback: 270 pages
  • Publisher: Dover Publications (June 23, 2010)
  • Language: English
  • ISBN-10: 0486477053
  • ISBN-13: 978-0486477053
  • Product Dimensions: 9.1 x 6.1 x 0.6 inches
  • Shipping Weight: 12 ounces (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #44,519 in Books (See Top 100 in Books)

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9 of 9 people found the following review helpful
5.0 out of 5 stars An excellent follow-up to Strogatz. May 8, 2013
Format:Paperback|Verified Purchase
I read Steven H. Strogatz's Nonlinear Dynamics And Chaos about a decade ago, and found it interesting, entertaining, and just barely useful.

Now, I wish I'd had this book to jump into immediately after finishing Strogatz.

Sternberg's writing is perfect for a mathematically mature reader. As he says in the introduction, you need a firm grip on calculus and linear algebra. I'd say that a good understanding of undergraduate level differential equations would help as well. As I implied above, you might want to read and work through Strogatz's book first as well. If I was making a reading list to bring an undergraduate (or graduate student!) up to speed in this field, I might have them start with James Gleick's Chaos first, just to get a feel for the material, then Strogatz, then this excellent book by Sternberg.
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10 of 11 people found the following review helpful
5.0 out of 5 stars I like the book March 22, 2013
Format:Paperback|Verified Purchase
The book is well organized by topics and IMO a very good second course after ordinary differential equations. The author has a pdf version for free here:
If you like a paper copy, then buy this Dover published. It is very inexpensive. The Dover copy is an slightly updated version of the online version.
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