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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Also, sternbery a sequel to this paper written jointly with Victor Guillemin and Daniel Quillenhe extended this classification to a larger class of pseudogroups: This became the basis for his first well-known published result known as the “Sternberg linearization theorem” which sholmo 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.
Daniel Mahler marked it as to-read Dec 02, This book is not yet featured on Listopia.
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, The difficulty ranges from elementary calculus to serious real analysis, so it is manageable.
Please help to improve this article by introducing more precise citations. This page was last edited on 16 Mayat Based on the first eight chapters, I would have given the book four stars, but as a whole, I cannot bring myself dtnamical award more than three.
Johns Hopkins University PhD Lee Corbin added it Dynamiccal 25, Adam Centurione marked it as to-read Mar 16, Views Read Edit View history. Sheldon marked it as to-read Feb 09, The book is very efficient in the sense that it progresses to the main results without much ado.
Sternberg’s contributions to symplectic geometry and Lie theory have also included a number of basic textbooks on these subjects, among them the three graduate level texts with Victor Guillemin: Among his contributions to this subject are his paper with Bertram Kostant on BRS cohomology, his paper with David Kazhdan and Bertram Kostant on dynamical systems of Calogero type and his paper with Victor Guillemin on the “Quantization commutes with reduction” conjecture.
Filip marked it dynamiical to-read Nov 27, Francesco marked it as to-read May 10, No trivia or quizzes yet. There are no discussion topics on this book yet. Branko Nikovski rated it it was amazing Jun 17, To ask other readers questions about Dynamical Systemsplease sign up.
Why is one interested in fixed point theorems?
Dynamical Systems – Shlomo Sternberg – Google Books
Elizabeth Aedyn River marked it as to-read Apr 20, Jones marked it as to-read Aug 17, Dtgomm rated it really liked it Feb 07, In the first of these papers Bertram Kostant and Sternberg show how reduction techniques enable one to give a rigorous mathematical treatment of what is known in the physics literature as the BRS quantization procedure; in the second, the authors show how one can simplify the analysis of complicated dynamical systems like the Calogero system by describing these systems as symplectic reductions of much simpler systems, and the paper with Victor Guillemin contain the first rigorous formulation and proof of a hitherto vague assertion about group actions on symplectic manifolds ; the assertion that “quantization commutes with reduction”.
Dover Books on Mathematics. Sutton marked it as to-read Jul 16, Preview — Dynamical Systems by Shlomo Sternberg. Return to Book Page. Elsa Rubio rated it it was amazing Nov 25, A famous example is the Newton iteration, and this is in fact the topic of the first chapter of this book.