Geometries and transformations:
"Euclidean and other geometries are distinguished by the transformations that preserve their essential properties. Using linear algebra and transformation groups, this book provides a readable exposition of how these classical geometries are both differentiated and connected. Following Cayley a...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
[2018]
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | "Euclidean and other geometries are distinguished by the transformations that preserve their essential properties. Using linear algebra and transformation groups, this book provides a readable exposition of how these classical geometries are both differentiated and connected. Following Cayley and Klein, the book builds on projective and inversive geometry to construct 'linear' and 'circular' geometries, including classical real metric spaces like Euclidean, hyperbolic, elliptic, and spherical, as well as their unitary counterparts. The first part of the book deals with the foundations and general properties of the various kinds of geometries. The latter part studies discrete-geometric structures and their symmetries in various spaces. Written for graduate students, the book includes numerous exercises and covers both classical results and new research in the field. An understanding of analytic geometry, linear algebra, and elementary group theory is assumed"... |
| Beschreibung: | XV, 438 Seiten Illustrationen |
| ISBN: | 9781107103405 |
Internformat
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Datensatz im Suchindex
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| adam_text | GEOMETRIES AND TRANSFORMATIONS
/ JOHNSON, NORMAN W.YYD1930-YYEAUTHOR
: 2017
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION; 1. HOMOGENOUS SPACES; 2. LINEAR GEOMETRIES; 3. CIRCULAR
GEOMETRIES; 4. REAL COLLINEATION GROUPS; 5. EQUIAREAL COLLINEATIONS; 6.
REAL ISOMETRY GROUPS; 7. COMPLEX SPACES; 8. COMPLEX COLLINEATION GROUPS;
9. CIRCULARITIES AND CONCATENATIONS; 10. UNITARY ISOMETRY GROUPS; 11.
FINITE SYMMETRY GROUPS; 12. EUCLIDEAN SYMMETRY GROUPS; 13. HYPERBOLIC
COXETER GROUPS; 14. MODULAR TRANSFORMATIONS; 15. QUATERNIONIC MODULAR
GROUPS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Johnson, Norman W. 1930-2017 |
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| author_sort | Johnson, Norman W. 1930-2017 |
| author_variant | n w j nw nwj |
| building | Verbundindex |
| bvnumber | BV044326868 |
| callnumber-first | Q - Science |
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| ctrlnum | (OCoLC)1039846862 (DE-599)BVBBV044326868 |
| dewey-full | 516 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516 |
| dewey-search | 516 |
| dewey-sort | 3516 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| institution | BVB |
| isbn | 9781107103405 |
| language | English |
| lccn | 017009670 |
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| physical | XV, 438 Seiten Illustrationen |
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| spelling | Johnson, Norman W. 1930-2017 Verfasser (DE-588)1160899487 aut Geometries and transformations Norman W. Johnson Cambridge Cambridge University Press [2018] XV, 438 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier "Euclidean and other geometries are distinguished by the transformations that preserve their essential properties. Using linear algebra and transformation groups, this book provides a readable exposition of how these classical geometries are both differentiated and connected. Following Cayley and Klein, the book builds on projective and inversive geometry to construct 'linear' and 'circular' geometries, including classical real metric spaces like Euclidean, hyperbolic, elliptic, and spherical, as well as their unitary counterparts. The first part of the book deals with the foundations and general properties of the various kinds of geometries. The latter part studies discrete-geometric structures and their symmetries in various spaces. Written for graduate students, the book includes numerous exercises and covers both classical results and new research in the field. An understanding of analytic geometry, linear algebra, and elementary group theory is assumed"... MATHEMATICS / Topology bisacsh Geometry Textbooks MATHEMATICS / Topology Geometrie (DE-588)4020236-7 gnd rswk-swf Transformation Mathematik (DE-588)4060637-5 gnd rswk-swf Transformationsgruppe (DE-588)4127386-2 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Geometrie (DE-588)4020236-7 s Transformation Mathematik (DE-588)4060637-5 s Lineare Algebra (DE-588)4035811-2 s Transformationsgruppe (DE-588)4127386-2 s DE-604 LoC Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029730218&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Johnson, Norman W. 1930-2017 Geometries and transformations MATHEMATICS / Topology bisacsh Geometry Textbooks MATHEMATICS / Topology Geometrie (DE-588)4020236-7 gnd Transformation Mathematik (DE-588)4060637-5 gnd Transformationsgruppe (DE-588)4127386-2 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4020236-7 (DE-588)4060637-5 (DE-588)4127386-2 (DE-588)4035811-2 |
| title | Geometries and transformations |
| title_auth | Geometries and transformations |
| title_exact_search | Geometries and transformations |
| title_full | Geometries and transformations Norman W. Johnson |
| title_fullStr | Geometries and transformations Norman W. Johnson |
| title_full_unstemmed | Geometries and transformations Norman W. Johnson |
| title_short | Geometries and transformations |
| title_sort | geometries and transformations |
| topic | MATHEMATICS / Topology bisacsh Geometry Textbooks MATHEMATICS / Topology Geometrie (DE-588)4020236-7 gnd Transformation Mathematik (DE-588)4060637-5 gnd Transformationsgruppe (DE-588)4127386-2 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | MATHEMATICS / Topology Geometry Textbooks Geometrie Transformation Mathematik Transformationsgruppe Lineare Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029730218&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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