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Codice articolo 786680096897e238612cb5cf44f95af6
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)
Titolo: From Groups to Geometry and Back (eng)
Casa editrice: American Mathematical Society
Data di pubblicazione: 2017
Legatura: Brossura
Condizione: new