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This book is based on a course given at the University of Chicago
in 1980-81. As with the course, the main motivation of this work is
to present an accessible treatment, assuming minimal background, of
the profound work of G. A. Margulis concerning rigidity,
arithmeticity, and structure of lattices in semi simple groups, and
related work of the author on the actions of semisimple groups and
their lattice subgroups. In doing so, we develop the necessary
prerequisites from earlier work of Borel, Furstenberg, Kazhdan,
Moore, and others. One of the difficulties involved in an
exposition of this material is the continuous interplay between
ideas from the theory of algebraic groups on the one hand and
ergodic theory on the other. This, of course, is not so much a
mathematical difficulty as a cultural one, as the number of persons
comfortable in both areas has not traditionally been large. We hope
this work will also serve as a contribution towards improving that
situation. While there are a number of satisfactory introductory
expositions of the ergodic theory of integer or real line actions,
there is no such exposition of the type of ergodic theoretic
results with which we shall be dealing (concerning actions of more
general groups), and hence we have assumed absolutely no knowledge
of ergodic theory (not even the definition of "ergodic") on the
part of the reader. All results are developed in full detail."
The GCDB Handbook for GIS is a quick reference to the practical
applications of the Bureau of Land Management's Geographic
Coordinate Database for Geographic Information System users and
land surveyors. Because the GCDB is important to GIS in the Public
Lands Survey states, GIS users and land surveyors should understand
what the GCDB is and how the GCDB affects GIS data alignment and
spatial accuracy, and should know how to use the GCDB for a number
of GIS and surveying tasks.
The GIS for Surveyors book explains how surveyors use Geographic
Information Systems (GIS) technologies to support land surveying
activities and how GIS helps surveyors work more effectively and
efficiently. Additionally, the book covers how surveyors support
GIS data development, integrity, and spatial accuracy. GIS
concepts, overviews, and specific examples are presented on a
variety of topics related to Geographic Information Systems
relevant to land surveying. The book also addresses important
issues and helpful applications. Major topics covered are GIS
fundamentals, data sources, using GIS in the survey office, using
GIS in the field, surveying for GIS, and spatial accuracy
considerations.
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