Mirrors and Reflections

The Geometry of Finite Reflection Groups

Alexandre V. Borovik, Anna Borovik

172 pages, parution le 01/03/2010

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Résumé

Mirrors and Reflections presents an intuitive and elementary introduction to finite reflection groups. Starting with basic principles, this book provides a comprehensive classification of the various types of finite reflection groups and describes their underlying geometric properties.

Unique to this text is its emphasis on the intuitive geometric aspects of the theory of reflection groups, making the subject more accessible to the novice. Primarily self-contained, necessary geometric concepts are introduced and explained. Principally designed for coursework, this book is saturated with exercises and examples of varying degrees of difficulty. An appendix offers hints for solving the most difficult problems. Wherever possible, concepts are presented with pictures and diagrams intentionally drawn for easy reproduction.

Finite reflection groups is a topic of great interest to many pure and applied mathematicians. Often considered a cornerstone of modern algebra and geometry, an understanding of finite reflection groups is of great value to students of pure or applied mathematics. Requiring only a modest knowledge of linear algebra and group theory, this book is intended for teachers and students of mathematics at the advanced undergraduate and graduate levels.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer - Printemps des maths
Auteur(s)	Alexandre V. Borovik, Anna Borovik
Parution	01/03/2010
Nb. de pages	172
Format	23.5 x 15.5
Couverture	Broché
Intérieur	Noir et Blanc
EAN13	9780387790657
ISBN13	978-0-387-79065-7