Axiomatic characterization of physical geometry
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| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1979
|
| Schriftenreihe: | Lecture notes in physics
111 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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MARC
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| 245 | 1 | 0 | |a Axiomatic characterization of physical geometry |c H.-J. Schmidt |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1979 | |
| 300 | |a IV, 163 S. |b graph. Darst. | ||
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102/MAT 514f 2001 A 30650 |
|---|---|
| DE-BY-TUM_katkey | 1189900 |
| DE-BY-TUM_media_number | 040010394822 |
| _version_ | 1816712074585178113 |
| adam_text | CONTENTS
1. Introduction 1
2. Operations with rigid bodies 17
2.1 General explication 17
2.2 Construction of regions 26
2.3 Construction of transport mappings 48
3. Regions and transport mappings 61
3.1 4 Axioms 61
3.2 Points 66
3.3 Regions as point sets 71
3.4 Congruent mappings 79
3.5 Chains I 83
3.6 Completion of the group T 91
3.7 Chains II 100
4. The Helmholtz Lie problem 108
4.1 Implications of the theorem of Yamabe 108
4.2 Mobility and distance measured by chains 118
4.2.1 Proof of (i) = (ii) 122
4.2.2 Proof of (ii) = (iii) 126
4.2.3 Proof of (iii) = (i) 132
4.3 Tits/Freudenthal classification 149
5. Characterization of Euclidean geometry 152
5.1 Dimension 152
5.2 Curvature 154
5.3 Euclidean representation 155
6. References 160
7. Notations 163
|
| any_adam_object | 1 |
| author | Schmidt, Heinz-Jürgen |
| author_facet | Schmidt, Heinz-Jürgen |
| author_role | aut |
| author_sort | Schmidt, Heinz-Jürgen |
| author_variant | h j s hjs |
| building | Verbundindex |
| bvnumber | BV006100022 |
| callnumber-first | Q - Science |
| callnumber-label | QC20 |
| callnumber-raw | QC20.7.G44 |
| callnumber-search | QC20.7.G44 |
| callnumber-sort | QC 220.7 G44 |
| callnumber-subject | QC - Physics |
| classification_rvk | SK 950 UD 8220 |
| classification_tum | MAT 510f |
| ctrlnum | (OCoLC)5676040 (DE-599)BVBBV006100022 |
| dewey-full | 530.1/5162 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.1/5162 |
| dewey-search | 530.1/5162 |
| dewey-sort | 3530.1 45162 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-11-25T17:19:56Z |
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| isbn | 3540097198 0387097198 |
| language | English |
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| physical | IV, 163 S. graph. Darst. |
| publishDate | 1979 |
| publishDateSearch | 1979 |
| publishDateSort | 1979 |
| publisher | Springer |
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| series | Lecture notes in physics |
| series2 | Lecture notes in physics |
| spellingShingle | Schmidt, Heinz-Jürgen Axiomatic characterization of physical geometry Lecture notes in physics Axiomatic set theory Geometry Euklidische Geometrie (DE-588)4137555-5 gnd Parteiensystem (DE-588)4075906-4 gnd Wahlrecht (DE-588)4064302-5 gnd Axiomatik (DE-588)4004038-0 gnd Physik (DE-588)4045956-1 gnd Wahlverhalten (DE-588)4079009-5 gnd |
| subject_GND | (DE-588)4137555-5 (DE-588)4075906-4 (DE-588)4064302-5 (DE-588)4004038-0 (DE-588)4045956-1 (DE-588)4079009-5 (DE-588)4078704-7 (DE-588)4029456-0 (DE-588)4022153-2 (DE-588)4026722-2 (DE-588)4113937-9 |
| title | Axiomatic characterization of physical geometry |
| title_auth | Axiomatic characterization of physical geometry |
| title_exact_search | Axiomatic characterization of physical geometry |
| title_full | Axiomatic characterization of physical geometry H.-J. Schmidt |
| title_fullStr | Axiomatic characterization of physical geometry H.-J. Schmidt |
| title_full_unstemmed | Axiomatic characterization of physical geometry H.-J. Schmidt |
| title_short | Axiomatic characterization of physical geometry |
| title_sort | axiomatic characterization of physical geometry |
| topic | Axiomatic set theory Geometry Euklidische Geometrie (DE-588)4137555-5 gnd Parteiensystem (DE-588)4075906-4 gnd Wahlrecht (DE-588)4064302-5 gnd Axiomatik (DE-588)4004038-0 gnd Physik (DE-588)4045956-1 gnd Wahlverhalten (DE-588)4079009-5 gnd |
| topic_facet | Axiomatic set theory Geometry Euklidische Geometrie Parteiensystem Wahlrecht Axiomatik Physik Wahlverhalten USA Kanada Großbritannien Indien Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003852873&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT schmidtheinzjurgen axiomaticcharacterizationofphysicalgeometry |