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Books > Science & Mathematics > Mathematics > Geometry > Analytic geometry
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Geometric Group Theory - An Introduction (Paperback, 1st ed. 2017)
Loot Price: R2,382
Discovery Miles 23 820
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Geometric Group Theory - An Introduction (Paperback, 1st ed. 2017)
Series: Universitext
Expected to ship within 10 - 15 working days
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Total price: R2,402
Discovery Miles: 24 020
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Inspired by classical geometry, geometric group theory has in turn
provided a variety of applications to geometry, topology, group
theory, number theory and graph theory. This carefully written
textbook provides a rigorous introduction to this rapidly evolving
field whose methods have proven to be powerful tools in
neighbouring fields such as geometric topology. Geometric group
theory is the study of finitely generated groups via the geometry
of their associated Cayley graphs. It turns out that the essence of
the geometry of such groups is captured in the key notion of
quasi-isometry, a large-scale version of isometry whose invariants
include growth types, curvature conditions, boundary constructions,
and amenability. This book covers the foundations of quasi-geometry
of groups at an advanced undergraduate level. The subject is
illustrated by many elementary examples, outlooks on applications,
as well as an extensive collection of exercises.
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