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Borovik

Mirrors and Reflections

The Geometry of Finite Reflection Groups
2009. Buch. xii, 172 S.: 74 s/w-Abbildungen, Bibliographien. Softcover
Springer ISBN 978-0-387-79065-7
Format (B x L): 15,5 x 23,5 cm
Gewicht: 590 g
In englischer Sprache
Das Werk ist Teil der Reihe:
This graduate/advanced undergraduate textbook contains a systematic and elementary treatment of finite groups generated by reflections. The approach is based on fundamental geometric considerations in Coxeter complexes, and emphasizes the intuitive geometric aspects of the theory of reflection groups. Key features include: many important concepts in the proofs are illustrated in simple drawings, which give easy access to the theory; a large number of exercises at various levels of difficulty; some Euclidean geometry is included along with the theory of convex polyhedra; no prerequisites are necessary beyond the basic concepts of linear algebra and group theory; and a good index and bibliography The exposition is directed at advanced undergraduates and first-year graduate students.

Audience

Graduate

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Webcode: beck-shop.de/opvc
Many important concepts in the proofs are illustrated through simple drawings, which give easy access to the theory Includes numerous exercises at various levels of difficulty as well as an appendix with hints for solving many of the more difficult problems Provides an introduction to the necessary elements of Euclidean geometry and the theory of convex polyhedra Few prerequisites are necessary beyond linear algebra and the basic principles of group theory