Topics from One-dimensional Dynamics.0521838967 Topics from one-dimensional dynamics. Brucks, Karen M. and Henk Bruin. Cambridge U. Pr. 2004 297 pages $90.00 Hardcover London Mathematical Society The London Mathematical Society (LMS) is the leading mathematical society in England. History The Society was established on 16 January 1865, the first president being Augustus De Morgan. student texts; 62 QA614 Brucks (U. of Wisconsin, Milwaukee) and Bruin (U. of Surrey, UK) offer a lively text of topics that can be used at random, rather than in sequence, by advanced undergraduate and beginning graduate students. Initial chapters are devoted to fundamental topology and measure theory, and symbolic and topological dynamics. Two chapters use combinatoric, number theoretic, and symbolic machinery in a discussion of one-dimensional dynamical systems Dynamical Systems A system of equations where the output of one equation is part of the input for another. A simple version of a dynamical system is linear simultaneous equations. Non-linear simultaneous equations are nonlinear dynamical systems. . These are followed by six chapters on more advanced topics that include kneading kneading, n a massage technique in which the whole hand is moved in a circular pattern while the fingers and thumbs squeeze the tissues beneath. theory and Hofbauer towers, detailed structure of w sets, topological entropy In mathematics, in the area of ergodic theory, the topological entropy provides a way of defining the entropy in an iterated function map. In essence, the topological entropy counts the number of distinguishable orbits that an iterated map may have. , lapnumbers and Markov extensions, interplay among continued fractions con·tin·ued fraction n. A whole number plus a fraction whose numerator is a whole number and whose denominator is a whole number plus a fraction that has a denominator consisting of a whole number plus a fraction, and so on, such as 2 + 1/(3 + 7/(1 + , and circle maps, among others. The text developed out of three courses offered at the Carleton Summer Mathematics Program. ([c]20062005 Book News, Inc., Portland, OR) |
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