From Groups to Geometry and Back (Student Mathematical Library, 81, Band 81) - Softcover

Inhaltsangabe

In a textbook for an advanced undergraduate course in mathematics, Climenhaga and Katok demonstrate how to use geometry to understand group theory, and group theory to understand geometry. They begin with symmetry groups in various geometries, then describe an (apparently) different type of relationship between groups and geometry by introducing the fundamental group. The 37 lectures are in sections on elements of group theory, symmetry in the Euclidean world: groups of isometries of planar and spatial objects, groups of matrices: linear algebra and symmetry in various geometries, the fundamental group: a different kind of group associated to geometric objects, from groups to geometric objects and back, and groups at large scale. Annotation ©2017 Ringgold, Inc., Portland, OR (protoview.com)

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