Cargando…
Mirrors and Reflections The Geometry of Finite Reflection Groups /
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 thi...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer New York : Imprint: Springer,
2010.
|
| Edición: | 1st ed. 2010. |
| Colección: | Universitext,
|
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-0-387-79066-4 | ||
| 003 | DE-He213 | ||
| 005 | 20220113002636.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2010 xxu| s |||| 0|eng d | ||
| 020 | |a 9780387790664 |9 978-0-387-79066-4 | ||
| 024 | 7 | |a 10.1007/978-0-387-79066-4 |2 doi | |
| 050 | 4 | |a QA440-699 | |
| 072 | 7 | |a PBM |2 bicssc | |
| 072 | 7 | |a MAT012000 |2 bisacsh | |
| 072 | 7 | |a PBM |2 thema | |
| 082 | 0 | 4 | |a 516 |2 23 |
| 100 | 1 | |a Borovik, Alexandre V. |e author. |0 (orcid)0000-0003-0808-8687 |1 https://orcid.org/0000-0003-0808-8687 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Mirrors and Reflections |h [electronic resource] : |b The Geometry of Finite Reflection Groups / |c by Alexandre V. Borovik, Anna Borovik. |
| 250 | |a 1st ed. 2010. | ||
| 264 | 1 | |a New York, NY : |b Springer New York : |b Imprint: Springer, |c 2010. | |
| 300 | |a XII, 172 p. 74 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Universitext, |x 2191-6675 | |
| 505 | 0 | |a 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 | |a 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 | |a Geometry. | |
| 650 | 0 | |a Algebra. | |
| 650 | 0 | |a Group theory. | |
| 650 | 0 | |a Topological groups. | |
| 650 | 0 | |a Lie groups. | |
| 650 | 0 | |a Algebras, Linear. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 1 | 4 | |a Geometry. |
| 650 | 2 | 4 | |a Algebra. |
| 650 | 2 | 4 | |a Group Theory and Generalizations. |
| 650 | 2 | 4 | |a Topological Groups and Lie Groups. |
| 650 | 2 | 4 | |a Linear Algebra. |
| 650 | 2 | 4 | |a Mathematical Methods in Physics. |
| 700 | 1 | |a Borovik, Anna. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9780387570662 |
| 776 | 0 | 8 | |i Printed edition: |z 9780387790657 |
| 830 | 0 | |a Universitext, |x 2191-6675 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-0-387-79066-4 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||