Dynamical Systems has 8 ratings and 1 review. Woflmao said: This has got the be the messiest book I have ever read, math or non-math. The number of typos. Celebrated mathematician Shlomo Sternberg, a pioneer in the field of dynamical systems, created this modern one-semester introduction to the. Shlomo Sternberg’s book Dynamical Systems is that excellent introduction which many of us sought when we were first-year graduate students, who became.
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Shlomo Sternberg – Wikipedia
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Its wide-ranging treatment covers one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains.
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“Dynamical Systems” by Shlomo Sternberg
Lists with This Book. This book is not yet featured whlomo Listopia. Dec 17, Woflmao rated it liked it Shelves: This has got the be the messiest book I have ever read, math or non-math. The number of typos is unbelievable. At some points whole paragraphs were missing, at other, some paragraphs apparently were copied-and-pasted twice, and then some LaTeX commands pop up in the middle of a sentence.
Once one has set one’s mind to bear with this mess, the book becomes ra This has got the be the messiest book I have ever read, math or non-math. Once one has set one’s mind to bear with this mess, the book becomes rather enjoyable. The first eight chapters which correspond to lecture notes on Sternberg’s website mainly focus on fixed point theorems for contracting maps, and applications of these theorems.
Why is one interested in fixed point theorems? A famous example is the Newton iteration, and this is in fact the topic of the first chapter of this book. This chapter, together with chapter 8, is already the most difficult one, so that the rest of the book is not too hard to follow.
The difficulty ranges from elementary calculus to serious real analysis, so it is manageable.
What I particularly liked about the strnberg is that it uses and encourages an experimental use of mathematics, that is, doing numerical experiments, plotting graphs of functions to find fixed points or periodic points and then, after the experiment, supply a proof to confirm the observations.
The book is very efficient in the sense that it progresses to the main results without much ado. Most of the proofs are easy to follow, though the aforementioned typos and some random changes in notation can lead to confusion.
Dynamical Systems – Shlomo Sternberg – Google Books
From sterjberg 9 on, the chapters seem hastily slammed together, there is much less cohesion than in the first part of the book, and the motivation for what is done is much less clear. Based on the first eight chapters, I would have given the book four stars, but as a whole, I cannot bring myself to award more than three.
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Shlomo Zvi Sternberg is a leading mathematician, known for his work in geometry, particularly symplectic geometry and the xhlomo geometry of G-structures.
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