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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“Dynamical Systems” by Shlomo Sternberg
Group theory and physics by S. The difficulty ranges from elementary calculus to serious real analysis, so it is manageable.
From chapter 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. Goodreads helps you keep track of books you want to read. Marco Spadini rated it really liked it Jun 25, Lectures on differential geometry by S.
Sutton marked it as to-read Jul 16, Filip marked it as to-read Nov 27, All three of these papers involve various aspects of the theory of symplectic reduction. Want to Read Currently Reading Read. Elsa Rubio rated it it was amazing Nov 25, Just a moment while we sign you in to your Goodreads account.
Dynamical Systems – Shlomo Sternberg – Google Books
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. Peter marked it as to-read Dec 28, Botkinbote rated it it was amazing Jul 04, Also, in a sequel to this paper written jointly with Victor Guillemin and Daniel Quillenhe extended this classification to a larger class of pseudogroups: Shlomo Zvi Sternberg bornis an American mathematician known for his work in geometry, particularly symplectic geometry and Lie theory.
Based on the first eight chapters, I would have given the book four stars, but as a whole, I dynamicl bring myself to award more than three. Trivia About Dynamical Systems. Once one has set one’s mind to bear with this mess, the book becomes ra This has got the be the messiest book Stsrnberg have ever read, math or non-math.
Lawrence Lifshitz marked it as to-read Aug 08, Retrieved from ” https: The number of typos is unbelievable. Refresh and try again. What I particularly liked about the book 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.
An account of these results and of their implications for the theory of dynamical systems can be found in Bruhat ‘s exposition “Travaux de Sternberg”, Seminaire Bourbaki, Volume 8.
There are no discussion topics on this book yet. Once one has set one’s mind to bear with this mess, the book becomes rather enjoyable. This became the basis for his first well-known published result known as the “Sternberg linearization theorem” which asserts that a smooth map near a hyperbolic fixed point can be made linear by a smooth change of coordinates provided that certain non-resonance conditions are satisfied.
Dynamical Systems by Shlomo Sternberg.
Want to Read saving…. Kevin Mansinthe marked it as to-read Dec 06,