000 02430nam a22003618i 4500
001 CR9780511809187
003 UkCbUP
005 20200124160225.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 101021s1995||||enk o ||1 0|eng|d
020 _a9780511809187 (ebook)
020 _z9780521341875 (hardback)
020 _z9780521575577 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA614.8
_b.K38 1995
082 0 0 _a515/.352
_220
100 1 _aKatok, A. B.,
_eauthor.
245 1 0 _aIntroduction to the modern theory of dynamical systems /
_cAnatole Katok, Boris Hasselblatt ; with a supplement by Anatole Katok and Leonardo Mendoza.
264 1 _aCambridge :
_bCambridge University Press,
_c1995.
300 _a1 online resource (xviii, 802 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aEncyclopedia of mathematics and its applications ;
_vvolume 54
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aThis book provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. The book begins with a discussion of several elementary but fundamental examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. Over 400 systematic exercises are included in the text. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate up.
650 0 _aDifferentiable dynamical systems.
700 1 _aHasselblatt, Boris,
_eauthor.
776 0 8 _iPrint version:
_z9780521341875
830 0 _aEncyclopedia of mathematics and its applications ;
_vv. 54.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511809187
999 _c517108
_d517106