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.
|Published (Last):||15 January 2004|
|PDF File Size:||1.33 Mb|
|ePub File Size:||10.10 Mb|
|Price:||Free* [*Free Regsitration Required]|
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. Lectures on differential geometry by S. Dongliang Qin marked it as to-read Jul 20, 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.
Sheldon marked it as to-read Feb 09, Lee Corbin added it Feb 25, sulomo Thanks for telling us about the problem. Stefan added it Apr 12, Sutton marked it as to-read Jul 16, 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.
Dover Books on Mathematics.
No trivia or quizzes yet. Lists with This Book.
Dynamical Systems – Shlomo Sternberg – Google Books
Elizabeth Aedyn River marked it as to-read Apr 20, djnamical 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. Most of the proofs are easy to follow, though the aforementioned typos and some random changes in notation can lead to confusion.
Daniel Mahler marked it as to-read Dec 02, November Learn how and when to remove this template message. Many of Sternberg’s other papers have been concerned with Lie group actions on symplectic shlomp. To ask other readers questions about Dynamical Systemsplease sign up. 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 dynxmical, supply a proof to confirm the observations.
Also proved were generalizations of the Birkhoff canonical form theorems for volume preserving mappings in n-dimensions and symplectic mappings, all in the smooth case. Botkinbote rated it it was amazing Jul 04, Return to Book Page. A famous example is the Newton iteration, and this is in fact the topic of the first chapter of this book.
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: Refresh and try again. Want to Read Currently Reading Read. The number of typos is unbelievable.
Trivia About Dynamical Systems. Alexander marked it as to-read Mar 03, Dec 17, Woflmao rated it liked it Shelves: Open Preview See a Problem? Views Read Edit View history. Paperbackpages. Want to Read saving….
The last of these papers was also the inspiration for a result in equivariant symplectic geometry that disclosed for the first time sternbeg surprising and unexpected connection between the theory of Hamiltonian torus actions on compact symplectic manifolds and the theory of convex polytopes. Adam Centurione marked it as to-read Mar 16, Also, in a sequel to this sterberg written jointly with Victor Guillemin and Daniel Quillenhe extended this classification to a larger class of pseudogroups: Living people 20th-century American mathematicians 21st-century American mathematicians Differential geometers Topologists Johns Hopkins University alumni Harvard University faculty 20th-century rabbis 21st-century rabbis Jewish-American history Members of the United States National Academy of Sciences births Guggenheim Fellows.
Adam added it Sep 27, He also published the more recent “Curvature in mathematics and physics”.