Dynamical Systems (Dover Books on Mathematics) by Shlomo Sternberg (PDF)

Description

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐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.

⭐I liked the overall theoretical aspects, but there where few examples other than the logistic map. The index was also very minimal. There were also not many diagrams. You’d expect at least 1 full bifurcation diagram, but there was just a plot of the first few period doublings of the logistic map.

⭐It’s a very well written masterpiece for those who want to learn several aspects of both discrete and continuous Dynamical Systems. In addition to that, lots of applications are shown.

⭐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.

⭐It’s very good.

⭐I don’t like it because the equations are tiny, the figures are small, and these elements don’t change size with font size adjustments. I am attempting to read on Kindle for PC.

⭐The book covers a topic with so much mathematical difficulty so it’s a must to thank the clarity and concise exposition, with acceptable levels of mathematics from the beginning, not being excessive at any time(at least for my poor level).A very good book to enter into this very interesting and ubiquitous topic of science.

⭐El profesor Shlomo tiene reconocida reputación en la dinámica nolineal y los sistemas complejos. Este libro es más reducido en páginas que otros que ha escrito. Lo uso para apoyar mis cursos de dinámica no lineal.

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⭐Libro de exposición clara y buena edición

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