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20140310151441.0 |
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100301s2010 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9780387790664 |
|
978-0-387-79066-4 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA174-183 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
512.2 |
| Edition number |
23 |
| 264 #1 - |
|---|
| -- |
New York, NY : |
| -- |
Springer New York, |
| -- |
2010. |
| 912 ## - |
|---|
| -- |
ZDB-2-SMA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Borovik, Alexandre V. |
| Relator term |
author. |
| 245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
Mirrors and Reflections |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc |
by Alexandre V. Borovik, Anna Borovik. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Other physical details |
online resource. |
| 440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Universitext |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Geometric Background -- Affine Euclidean Space -- Isometries of -- Hyperplane Arrangements -- Polyhedral Cones -- Mirrors, Reflections, Roots -- Mirrors and Reflections -- Systems of Mirrors -- Dihedral Groups -- Root Systems -- Root Systems An?1, BCn, Dn -- Coxeter Complexes -- Chambers -- Generation -- Coxeter Complex -- Residues -- Generalized Permutahedra -- Classification -- Generators and Relations -- Classification of Finite Reflection Groups -- Construction of Root Systems -- Orders of Reflection Groups -- Three-Dimensional Reflection Groups -- Reflection Groups in Three Dimensions -- Icosahedron. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Group theory. |
|
|---|
| Topical term or geographic name as entry element |
Matrix theory. |
|
|---|
| Topical term or geographic name as entry element |
Topological Groups. |
|
|---|
| Topical term or geographic name as entry element |
Geometry. |
|
|---|
| Topical term or geographic name as entry element |
Mathematical physics. |
|
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Group Theory and Generalizations. |
|
|---|
| Topical term or geographic name as entry element |
Geometry. |
|
|---|
| Topical term or geographic name as entry element |
Topological Groups, Lie Groups. |
|
|---|
| Topical term or geographic name as entry element |
Linear and Multilinear Algebras, Matrix Theory. |
|
|---|
| Topical term or geographic name as entry element |
Mathematical Methods in Physics. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Borovik, Anna. |
| Relator term |
author. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9780387790657 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-0-387-79066-4 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
