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

By Boris Hasselblatt,Anatole Katok

ISBN-10: 0521583047

ISBN-13: 9780521583046

ISBN-10: 0521587506

ISBN-13: 9780521587501

the speculation of dynamical platforms is a big mathematical self-discipline heavily intertwined with all major components of arithmetic. It has vastly encouraged learn in lots of sciences and given upward push to the gigantic new quarter variously referred to as utilized dynamics, nonlinear technology, or chaos conception. This creation for senior undergraduate and starting graduate scholars of arithmetic, physics, and engineering combines mathematical rigor with copious examples of significant functions. It covers the imperative topological and probabilistic notions in dynamics starting from Newtonian mechanics to coding conception. Readers don't need to be accustomed to manifolds or degree thought; the one prerequisite is a easy undergraduate research direction. The authors start through describing the wide variety of clinical and mathematical questions that dynamics can deal with. They then use a development of examples to give the innovations and instruments for describing asymptotic habit in dynamical platforms, progressively expanding the extent of complexity. the ultimate chapters introduce glossy advancements and functions of dynamics. matters 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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