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This book provides a broad introduction to the subject of dynamical
systems, suitable for a one- or two-semester graduate course. In
the first chapter, the authors introduce over a dozen examples, and
then use these examples throughout the book to motivate and clarify
the development of the theory. Topics include topological dynamics,
symbolic dynamics, ergodic theory, hyperbolic dynamics,
one-dimensional dynamics, complex dynamics, and measure-theoretic
entropy. The authors top off the presentation with some beautiful
and remarkable applications of dynamical systems to such areas as
number theory, data storage, and Internet search engines. This book
grew out of lecture notes from the graduate dynamical systems
course at the University of Maryland, College Park, and reflects
not only the tastes of the authors, but also to some extent the
collective opinion of the Dynamics Group at the University of
Maryland, which includes experts in virtually every major area of
dynamical systems.
Michael Brein's travel guides make city public transport simple.
Maps include how to get to the top 50 sights in the area by public
transit, ultra-large transit maps, detailed mini-area maps of
attractions, and instructions on how to get to places.
"Michael Brein's Guide to London by the Underground" shows
travelers how to go to London's top 50 visitor attractions by the
London Underground (subway, "Tube"), and some rail. The guide shows
which transit to use, which lines to take, which stops to board and
exit, and, using about 30 detailed mini-area-walking maps, shows
exactly how to walk from these stops right to the visitor
attractions. Additional nearby points of interest are also
indicated on these mini-maps. An ultra-large (very easy to read)
official map of the London Underground is also provided. The London
guide is concise, compact, and comprehensive and fits in your
pocket (leave the bulky books back in the hotel room!). \n\n
This book provides a broad introduction to the subject of dynamical systems, suitable for a one or two-semester graduate course. In the first chapter, the authors introduce over a dozen examples, and then use these examples throughout the book to motivate and clarify the development of the theory. Topics include topological dynamics, symbolic dynamics, ergodic theory, hyperbolic dynamics, one-dimensional dynamics, complex dynamics, and measure-theoretic entropy. The authors top off the presentation with some beautiful and remarkable applications of dynamical systems to areas such as number theory, data storage, and internet search engines.
Michael Brein's Guide to Berlin by the U-Bahn shows visitors how to
go to Berlin's top 50 visitor attractions by the Berlin U-Bahn
(subway) as well as by Berlin's S-Bahn (suburban rail system). The
guide shows which transit to use, which transit stops to board and
exit, and, using detailed mini-area-walking maps, how to walk
exactly from these transit stops directly to the visitor
attractions. Additional nearby points of interest are also
indicated on these mini-area-walking maps. An ultra-large official
map of the transit system is also provided. Michael Brein's Guide
to Berlin is part of the world's first and only travel guide series
specifically designed to show travelers how to sightsee the top 50
visitor attractions by public transportation in a variety of the
world's most visited cities.
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