| 000 | 02451nam a22003378i 4500 | ||
|---|---|---|---|
| 001 | CR9780511998188 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160256.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 101018s2003||||enk o ||1 0|eng|d | ||
| 020 | _a9780511998188 (ebook) | ||
| 020 | _z9780521583046 (hardback) | ||
| 020 | _z9780521587501 (paperback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
||
| 050 | 0 | 0 |
_aQA614.8 _b.H38 2003 |
| 082 | 0 | 0 |
_a514/.74 _221 |
| 100 | 1 |
_aHasselblatt, Boris, _eauthor. |
|
| 245 | 1 | 2 |
_aA first course in dynamics : _bwith a panorama of recent developments / _cBoris Hasselblatt, Anatole Katok. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2003. |
|
| 300 |
_a1 online resource (x, 424 pages) : _bdigital, PDF file(s). |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 520 | _aThe theory of dynamical systems is a major mathematical discipline closely intertwined with all main areas of mathematics. It has greatly stimulated research in many sciences and given rise to the vast new area variously called applied dynamics, nonlinear science, or chaos theory. This introduction for senior undergraduate and beginning graduate students of mathematics, physics, and engineering combines mathematical rigor with copious examples of important applications. It covers the central topological and probabilistic notions in dynamics ranging from Newtonian mechanics to coding theory. Readers need not be familiar with manifolds or measure theory; the only prerequisite is a basic undergraduate analysis course. The authors begin by describing the wide array of scientific and mathematical questions that dynamics can address. They then use a progression of examples to present the concepts and tools for describing asymptotic behavior in dynamical systems, gradually increasing the level of complexity. The final chapters introduce modern developments and applications of dynamics. Subjects include contractions, logistic maps, equidistribution, symbolic dynamics, mechanics, hyperbolic dynamics, strange attractors, twist maps, and KAM-theory. | ||
| 650 | 0 | _aDifferentiable dynamical systems. | |
| 700 | 1 |
_aKatok, A. B., _eauthor. |
|
| 776 | 0 | 8 |
_iPrint version: _z9780521583046 |
| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9780511998188 |
| 999 |
_c519921 _d519919 |
||