Mirrors and Reflections : The Geometry of Finite Reflection Groups

Alexandre V Borovik

ISBN 10: 0387790659 / ISBN 13: 9780387790657

Editore: Springer New York, 2009

Riguardo questo articolo

Druck auf Anfrage Neuware - Printed after ordering - 'Mirrors and Reflections' presents a systematic and elementary introduction to the properties 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. The exposition is directed at advanced undergraduates and first-year graduate students, and features a large number of exercises at various levels of difficulty.

Codice articolo 9780387790657

Dati bibliografici

• Titolo: Mirrors and Reflections : The Geometry of Finite Reflection Groups
• Editore: Springer New York
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 0387790659
• ISBN 13: 9780387790657
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 237 L x 156 A x 15 P (millimetri) 237 millimetri di larghezza per 156 millimetri di altezza per 15 millimetri di profondità
• Peso: 280 grammi

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. Oftenconsidered 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.