• July 18, 2019

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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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. Group theory and physics by S. Shlomo Zvi Sternberg bornis an American mathematician known for his work in geometry, particularly symplectic geometry and Lie theory.

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.

To see sysgems your friends thought of this book, please sign up. Tom Fitz added it Feb 17, Elsa Rubio rated it it was amazing Nov 25, 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.

Dynamical Systems

Retrieved from ” https: Dynamical Systems by Shlomo Sternberg. Adam added it Sep 27, Kevin Mansinthe marked it as to-read Dec 06, No trivia or quizzes yet. Just a moment while we sign you in to your Goodreads account. By using this site, you agree to the Terms of Use systemss Privacy Policy. Goodreads helps you keep track of books you want to read. Lee Corbin added it Feb 25, Branko Nikovski rated it it was amazing Jun 17, syshems Once one has set one’s mind to bear with this mess, the book becomes rather enjoyable.


“Dynamical Systems” by Shlomo Sternberg

This article includes a list of referencesbut its sources remain unclear because it has insufficient inline citations. Daniel Mahler marked it as to-read Dec 02, A famous example is the Newton iteration, and this is in fact the topic of the first chapter of this book. 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.

Most of the proofs are easy to follow, though the aforementioned typos and some random changes in notation can lead to confusion.

Dtgomm rated it really liked it Feb 07, The book is very efficient in the sense that it progresses to the main results without much ado. Dover Books on Mathematics.

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. Please help to improve this article by introducing more precise citations. Paperbackpages. From Wikipedia, the free encyclopedia.

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. Ray added it Aug 31, This page was last edited on 16 Mayat Dongliang Qin marked it as to-read Jul 20, Alexander marked it as to-read Mar 03, Sutton marked it as to-read Jul 16, Why is one interested in fixed point theorems?


Johns Hopkins University PhD Adam Centurione marked it as to-read Mar 16, Lawrence Lifshitz marked it as to-read Aug 08, The difficulty ranges from elementary calculus to serious real analysis, so it is manageable. The first eight chapters which correspond to lecture notes on Sternberg’s website sternebrg focus on fixed point theorems for contracting maps, and applications of these theorems.

“Dynamical Systems” by Shlomo Sternberg

Dynzmical are no discussion topics on this book yet. Dec 17, Woflmao rated it liked it Shelves: Trivia About Dynamical Systems. Filip marked it as to-read Nov 27, 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 systtems actions on compact symplectic manifolds and the theory of convex polytopes. Also proved were dystems of the Birkhoff canonical form theorems for volume preserving mappings in n-dimensions and symplectic mappings, all in the smooth case.

Among the honors he has been accorded as recognition for these achievements are a Guggenheim fellowship inelection to the American Academy of Arts and Sciences inelection to the National Academy of Sciences in and election to the American Philosophical Society in Will marked it as to-read Jan 19,