Mirrors and Reflections. The Geometry of Finite and Affine Reflection Groups

Borovik, Alexandre V. and Anna:

ISBN 10: 0387790659 / ISBN 13: 9780387790657

Editore: Heidelberg / New York, Springer (Universitext), 2010

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Formateinband: Paperback / Kartonierte Ausgabe XII, 171 S. (24 cm) 1st Edition; Sehr guter Zustand. Preiskleber noch am Vorderdeckel. Sprache: Englisch Gewicht in Gramm: 400 [Stichwörter: Spiegel und Reflektionen; Affine Euclidian Space AR, Hyperplane Arrangements, Polyhedral Cones, Mirrors, Reflections, Roots, Dihedral Groups, Coxeter Coplexes etc.]. Codice articolo 73099

Dati bibliografici

Titolo: Mirrors and Reflections. The Geometry of ...

Casa editrice: Heidelberg / New York, Springer (Universitext)

Data di pubblicazione: 2010

Legatura: Brossura

Condizione: Sehr gut

Edizione: prima edizione

Descrizione articolo

Riassunto:

Starting with basic principles, this book provides a comprehensive classification of the various types of finite reflection groups and describes their underlying geometric properties. Numerous exercises at various levels of difficulty are included.

Dalla quarta di copertina:

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.