000			02100nam a22002777a 4500
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020			_a9781107112674
040			_aNISER LIBRARY _beng _cNISER LIBRARY
041			_aEnglish
082	0	0	_a517 _bGOO-C
100	1		_aGoodson, Geoffrey R. _q(Geoffrey Ross)
245	1	0	_aChaotic dynamics : _bfractals, tilings, and substitutions
260			_aCambridge : _bCambridge University Press, _c2017.
300			_axiv, 403p. : _billustrations ; _c27 cm.
490			_aCambridge mathematical textbooks
504			_aIncludes bibliographical references and index.
520			_aThis undergraduate textbook is a rigorous mathematical introduction to dynamical systems and an accessible guide for students transitioning from calculus to advanced mathematics. It has many student-friendly features, such as graded exercises that range from straightforward to more difficult with hints, and includes concrete applications of real analysis and metric space theory to dynamical problems. Proofs are complete and carefully explained, and there is opportunity to practice manipulating algebraic expressions in an applied context of dynamical problems. After presenting a foundation in one-dimensional dynamical systems, the text introduces students to advanced subjects in the latter chapters, such as topological and symbolic dynamics. It includes two-dimensional dynamics, Sharkovsky's theorem, and the theory of substitutions, and takes special care in covering Newton's method. Mathematica code is available online, so that students can see implementation of many of the dynamical aspects of the text.
650		0	_aChaotic behavior in systems _vTextbooks.
650		0	_aDynamics _vTextbooks.
856			_3Table of Contents _uhttps://assets.cambridge.org/97811071/12674/toc/9781107112674_toc.pdf
856			_3Index _uhttps://assets.cambridge.org/97811071/12674/index/9781107112674_index.pdf
856			_3Reviews _uhttps://www.goodreads.com/book/show/33657327-chaotic-dynamics#CommunityReviews
942			_cBK _2udc
999			_c35053 _d35053