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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. 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.

Coxeter complexes. --- Electronic books. -- local. --- Reflection groups. --- Reflection groups --- Coxeter complexes --- Mathematics --- Algebra --- Physical Sciences & Mathematics --- Coxeter's complexes --- Mathematics. --- Algebra. --- Group theory. --- Matrix theory. --- Topological groups. --- Lie groups. --- Geometry. --- Physics. --- Group Theory and Generalizations. --- Topological Groups, Lie Groups. --- Linear and Multilinear Algebras, Matrix Theory. --- Mathematical Methods in Physics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Euclid's Elements --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Groups, Topological --- Continuous groups --- Groups, Theory of --- Substitutions (Mathematics) --- Mathematical analysis --- Math --- Science --- Complexes --- Finite groups --- Transformations (Mathematics) --- Topological Groups. --- Mathematical physics. --- Physical mathematics --- Physics

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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. 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.

Group theory --- Ordered algebraic structures --- Algebra --- Topological groups. Lie groups --- Geometry --- Mathematical physics --- Physics --- algebra --- topologie (wiskunde) --- matrices --- wiskunde --- fysica --- geometrie --- topologie

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