Sternberg, Shlomo. creator text bibliography nyu Mineola, N.Y Dover Publications 2010 monographic eng

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iii, 265 p. : ill. ; 24 cm. "Celebrated mathematician Shlomo Sternberg, a pioneer in the field of dynamical systems, created this modern one-semester introduction to the subject for his classes at Harvard University. Its wide-ranging treatment covers one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials offer a variety of online components, including PowerPoint lecture slides for professors and MATLAB exercises."--Publisher's description. Iteration and fixed points -- Bifurcations -- Sarkovsky's theorem, Singer's theorem, intermittency -- Conjugacy -- Space and time averages -- The contraction fixed point theorem -- The Hausdorff metric and Hutchinson's theorem -- Hyperbolicity -- The Perron-Frobenius theorem -- Some topics in ordinary differential equations -- Lotka-Volterra -- Symbolic dynamics. Shlomo Sternberg. Includes bibliographical references (p. 261-265) and index. Dynamics Differentiable dynamical systems QA845 .S77 2010 515.39 STD 9780486477053 (pbk.) 2010282949 BTCTA 110119 20140902111657.0 16615462