000			02260cam a22002774a 4500
001			12660331
005			20250609161424.0
008			020129s2002 enka b 001 0 eng
020			_a9780521587501
040			_aCSL _cCSL
041			_2eng _aeng
084			_aB7: 3 P3 NBHM _qCSL
100	1		_aHasselblatt, Boris. _eauthor. _9442597
245	1	2	_aFirst course in dynamics : _bwith a panorama of recent developments
260			_aCambridge : _bCambridge University Press, _c2003.
300			_ax, 424 p. : _bill. ; _c26 cm.
504			_aIncludes bibliographical references and index.
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. _9717560
650		0	_aPanoroma of Dynamical system _9812269
650		0	_a Differential and Integral Equations _9812270
650		0	_aDynamical Systems and Control Theory _9812271
700	1		_aKatok, A. B. _eco-author. _9812272
942			_2CC _n0 _cTEXL _hB7: 3 P3 NBHM
999			_c1431528 _d1431528