Transformation geometry: an introduction to symmetry
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
New York [u.a.]
Springer
1997
|
| Edition: | Corr. 4. print. |
| Series: | Undergraduate texts in mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 237 S. graph. Darst. |
| ISBN: | 3540906363 0387906363 |
Staff View
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| 264 | 1 | |a New York [u.a.] |b Springer |c 1997 | |
| 300 | |a XII, 237 S. |b graph. Darst. | ||
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Record in the Search Index
| _version_ | 1807505259342331904 |
|---|---|
| adam_text |
CONTENTS
CHAPTER
1
INTRODUCTION
1
1.1
TRANSFORMATIONS
AND
COLLINEATIONS
1
1.2
GEOMETRIC
NOTATION
3
1.3
EXERCISES
5
CHAPTER
2
PROPERTIES
OF
TRANSFORMATIONS
7
2.1
GROUPS
OF
TRANSFORMATIONS
7
2.2
INVOLUTIONS
9
2.3
EXERCISES
12
CHAPTER
3
TRANSLATIONS
AND
HALFTURNS
14
3.1
TRANSLATIONS
14
3.2
HALFTURNS
17
3.3
EXERCISES
20
CHAPTER
4
REFLECTIONS
23
4.1
EQUATIONS
FOR
A
REFLECTION
23
4.2
PROPERTIES
OF
A
REFLECTION
26
4.3
EXERCISES
30
X
CONTENTS
CHAPTER
5
CONGRUENCE
33
5.1
ISOMETRIES
AS
PRODUCTS
OF
REFLECTIONS
33
5.2
PAPER
FOLDING
EXPERIMENTS
AND
ROTATIONS
36
5.3
EXERCISES
40
CHAPTER
6
THE
PRODUCT
OF
TWO
REFLECTIONS
43
6.1
TRANSLATIONS
AND
ROTATIONS
43
6.2
FIXED
POINTS
AND
INVOLUTIONS
47
6.3
EXERCISES
50
CHAPTER
7
EVEN
ISOMETRIES
52
7.1
PARITY
52
7.2
THE
DIHEDRAL
GROUPS
57
7.3
EXERCISES
60
CHAPTER
8
CLASSIFICATION
OF
PLANE
ISOMETRIES
62
8.1
GLIDE
REFLECTIONS
62
8.2
LEONARDO
'
S
THEOREM
66
8.3
EXERCISES
68
CHAPTER
9
EQUATIONS
FOR
ISOMETRIES
71
9.1
EQUATIONS
71
9.2
SUPPLEMENTARY
EXERCISES
(CHAPTER
1-8)
73
9.3
EXERCISES
76
CHAPTER
10
THE
SEVEN
FRIEZE
GROUPS
78
10.1
FRIEZE
GROUPS
78
10.2
FRIEZE
PATTERNS
82
10.3
EXERCISES
85
CONTENTS
XI
CHAPTER
11
THE
SEVENTEEN
WALLPAPER
GROUPS
88
11.1
THE
CRYSTALLOGRAPHIC
RESTRICTION
,
88
11.2
WALLPAPER
GROUPS
AND
PATTERNS
92
11.3
EXERCISES
111
CHAPTER
12
TESSELLATIONS
117
12.1
TILES
117
12.2
REPTILES
126
12.3
EXERCISES
132
CHAPTER
13
SIMILARITIES
ON
THE
PLANE
136
13.1
CLASSIFICATION
OF
SIMILARITIES
136
13.2
EQUATIONS
FOR
SIMILARITIES
141
13.3
EXERCISES
144
CHAPTER
14
CLASSICAL
THEOREMS
147
14.1
MENELAUS,
CEVA,
DESARGUES,
PAPPUS,
PASCAL
147
14.2
EULER,
BRIANCHON,
PONCELET,
FEUERBACH
156
14.3
EXERCISES
164
CHAPTER
15
AFFINE
TRANSFORMATIONS
167
15.1
COLLINEATIONS
167
15.2
LINEAR
TRANSFORMATIONS
175
15.3
EXERCISES
180
CHAPTER
16
TRANSFORMATIONS
ON
THREE-SPACE
182
16.1
ISOMETRIES
ON
SPACE
182
16.2
SIMILARITIES
ON
SPACE
194
16.3
EXERCISES
196
XII
CONTENTS
CHAPTER
17
SPACE
AND
SYMMETRY
198
17.1
THE
PLATONIC
SOLIDS
198
17.2
FINITE
SYMMETRY
GROUPS
ON
SPACE
211
17.3
EXERCISES
222
HINTS
AND
ANSWERS
NOTATION
INDEX
INDEX
225
231
233 |
| any_adam_object | 1 |
| author | Martin, George E. 1932- |
| author_GND | (DE-588)118068326 |
| author_facet | Martin, George E. 1932- |
| author_role | aut |
| author_sort | Martin, George E. 1932- |
| author_variant | g e m ge gem |
| building | Verbundindex |
| bvnumber | BV011426632 |
| callnumber-first | Q - Science |
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| callnumber-raw | QA601.M36 1982b |
| callnumber-search | QA601.M36 1982b |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 380 |
| ctrlnum | (OCoLC)40333370 (DE-599)BVBBV011426632 |
| discipline | Mathematik |
| edition | Corr. 4. print. |
| format | Book |
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| id | DE-604.BV011426632 |
| illustrated | Illustrated |
| indexdate | 2024-08-16T01:22:21Z |
| institution | BVB |
| isbn | 3540906363 0387906363 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007683444 |
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| owner | DE-703 DE-521 |
| owner_facet | DE-703 DE-521 |
| physical | XII, 237 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Springer |
| record_format | marc |
| series2 | Undergraduate texts in mathematics |
| spelling | Martin, George E. 1932- Verfasser (DE-588)118068326 aut Transformation geometry an introduction to symmetry George E. Martin Corr. 4. print. New York [u.a.] Springer 1997 XII, 237 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Undergraduate texts in mathematics Transformations (Mathematics) Geometry Symmetry Transformationsgruppe (DE-588)4127386-2 gnd rswk-swf Symmetrie (DE-588)4058724-1 gnd rswk-swf Geometrische Transformation (DE-588)4156725-0 gnd rswk-swf Euklidische Geometrie (DE-588)4137555-5 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Transformation Mathematik (DE-588)4060637-5 gnd rswk-swf Symmetrie (DE-588)4058724-1 s Geometrie (DE-588)4020236-7 s DE-604 Transformationsgruppe (DE-588)4127386-2 s Euklidische Geometrie (DE-588)4137555-5 s Transformation Mathematik (DE-588)4060637-5 s 1\p DE-604 Geometrische Transformation (DE-588)4156725-0 s 2\p DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007683444&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Martin, George E. 1932- Transformation geometry an introduction to symmetry Transformations (Mathematics) Geometry Symmetry Transformationsgruppe (DE-588)4127386-2 gnd Symmetrie (DE-588)4058724-1 gnd Geometrische Transformation (DE-588)4156725-0 gnd Euklidische Geometrie (DE-588)4137555-5 gnd Geometrie (DE-588)4020236-7 gnd Transformation Mathematik (DE-588)4060637-5 gnd |
| subject_GND | (DE-588)4127386-2 (DE-588)4058724-1 (DE-588)4156725-0 (DE-588)4137555-5 (DE-588)4020236-7 (DE-588)4060637-5 |
| title | Transformation geometry an introduction to symmetry |
| title_auth | Transformation geometry an introduction to symmetry |
| title_exact_search | Transformation geometry an introduction to symmetry |
| title_full | Transformation geometry an introduction to symmetry George E. Martin |
| title_fullStr | Transformation geometry an introduction to symmetry George E. Martin |
| title_full_unstemmed | Transformation geometry an introduction to symmetry George E. Martin |
| title_short | Transformation geometry |
| title_sort | transformation geometry an introduction to symmetry |
| title_sub | an introduction to symmetry |
| topic | Transformations (Mathematics) Geometry Symmetry Transformationsgruppe (DE-588)4127386-2 gnd Symmetrie (DE-588)4058724-1 gnd Geometrische Transformation (DE-588)4156725-0 gnd Euklidische Geometrie (DE-588)4137555-5 gnd Geometrie (DE-588)4020236-7 gnd Transformation Mathematik (DE-588)4060637-5 gnd |
| topic_facet | Transformations (Mathematics) Geometry Symmetry Transformationsgruppe Symmetrie Geometrische Transformation Euklidische Geometrie Geometrie Transformation Mathematik |
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