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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Sternberg has, in addition, played a role in recent developments in theoretical physics: November Learn how and when to remove this template message. Dynamical Systems by Shlomo Sternberg. Sutton marked it as to-read Jul 16, He has also been made an honorary member of the Academy of Arts and Sciences of the Royal Academy of Spain and awarded an honorary doctorate by the University of Mannheim.
Elsa Rubio rated it it was amazing Nov 25, Lee Corbin added it Feb 25, The last of these papers was also the inspiration for a result in equivariant symplectic geometry that disclosed for the first time a surprising and unexpected connection between the theory of Hamiltonian torus actions on compact symplectic manifolds and the theory of convex polytopes.
Elizabeth Aedyn River marked it as to-read Apr 20, To see what your friends thought of this book, please sign up. Ray added it Aug 31, 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”.
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.
Dipti marked it as to-read Aug 11, The book is very efficient in the sense that it progresses to the main results without much ado. Once one has set one’s mind to bear with this mess, the book becomes rather enjoyable. From Wikipedia, the free encyclopedia.
Adam Centurione marked it as to-read Mar 16, 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. Paperbackpages. Based on the first eight chapters, I would have given sternberv book syatems stars, but as a whole, I cannot bring myself to award more than three. Most of the proofs are easy sgernberg follow, though the aforementioned typos and some random changes in notation can lead to confusion.
Peder added it Nov 06, 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: Lectures on differential geometry by S.
There are no discussion topics on this book yet. Adam added it Sep 27, International Press of Boston. Daniel Mahler marked it as to-read Dec 02, Sheldon marked it as to-read Feb 09, Sternnerg to Read saving….
He has written several papers with Yuval Ne’eman on the role of supersymmetry in elementary particle physics in which they explore from this dynamicla the Higgs mechanismthe method shloomo spontaneous symmetry breaking and a unified approach to the theory of quarks and leptons.
Will marked it as to-read Jan 19, Johan Lord marked it as to-read Dec 06, 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.
To ask other readers questions about Dynamical Systemsplease sign up. A famous example is the Newton iteration, and this is in fact the topic of the first chapter of this book.
The number of typos is unbelievable. This figures in GQS as an analytical detail in their classification proof but is nowadays the most cited sylomo of the paper.
“Dynamical Systems” by Shlomo Sternberg
Lawrence Lifshitz marked it as to-read Aug 08, Botkinbote rated it it was amazing Jul 04, Books by Shlomo Sternberg. He also published the more recent “Curvature in mathematics and physics”. 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. Please help to improve this article by introducing more precise citations.
“Dynamical Systems” by Shlomo Sternberg
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.
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. Open Preview See a Problem?