Download e-book for iPad: A First Course in Dynamics: with a Panorama of Recent by Boris Hasselblatt,Anatole Katok

By Boris Hasselblatt,Anatole Katok

ISBN-10: 0521583047

ISBN-13: 9780521583046

ISBN-10: 0521587506

ISBN-13: 9780521587501

the idea of dynamical platforms is a massive mathematical self-discipline heavily intertwined with all major parts of arithmetic. It has enormously prompted study in lots of sciences and given upward thrust to the massive new region variously known as utilized dynamics, nonlinear technological know-how, or chaos thought. This advent for senior undergraduate and starting graduate scholars of arithmetic, physics, and engineering combines mathematical rigor with copious examples of vital functions. It covers the crucial topological and probabilistic notions in dynamics starting from Newtonian mechanics to coding conception. Readers don't need to be acquainted with manifolds or degree concept; the one prerequisite is a uncomplicated undergraduate research direction. The authors start by way of describing the good selection of medical and mathematical questions that dynamics can handle. They then use a development of examples to give the recommendations and instruments for describing asymptotic habit in dynamical platforms, progressively expanding the extent of complexity. the ultimate chapters introduce smooth advancements and functions of dynamics. topics contain contractions, logistic maps, equidistribution, symbolic dynamics, mechanics, hyperbolic dynamics, unusual attractors, twist maps, and KAM-theory.

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A First Course in Dynamics: with a Panorama of Recent Developments by Boris Hasselblatt,Anatole Katok

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