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Mirrors and Reflections: The Geometry of Finite Reflection Groups (Universitext) - Softcover

 
9780387790657: Mirrors and Reflections: The Geometry of Finite Reflection Groups (Universitext)

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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.

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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.

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  • PublisherSpringer
  • Publication date2009
  • ISBN 10 0387790659
  • ISBN 13 9780387790657
  • BindingPaperback
  • LanguageEnglish
  • Number of pages184

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9780817630522: Mirrors and Reflections: The Geometry of Finite Reflection Groups

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Borovik, Alexandre V. and Anna:
ISBN 10: 0387790659 ISBN 13: 9780387790657
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Condition: Sehr gut. 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.]. Seller Inventory # 73099

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ISBN 10: 0387790659 ISBN 13: 9780387790657
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Softcover. Condition: Very Good. Only faint wear to cover. Internally, clean and fresh, with unmarked and uncreased pages. Overall, very sound and presentable. Publisher's note: 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. Size: 22.9 x 15.2 x 1.1 cm. xii, 171 pp. Shipped Weight: Under 500 grams. Category: Mathematics ; Reflection groups; Coxeter complexes; Series; Universitext ; ISBN: 0387790659. ISBN/EAN: 9780387790657. Add. Inventory No: 250321CTY0704637. Seller Inventory # 250321CTY0704637

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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 oflinear algebra and group theory; and a good index and bibliography The exposition is directed at advanced undergraduates and first-year graduate students. 172 pp. Englisch. Seller Inventory # 9780387790657

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Taschenbuch. Condition: Neu. 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. Seller Inventory # 9780387790657

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