Space kinematics and Lie groups:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English Czech |
| Published: |
New York [u.a.]
Gordon and Breach
1985
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus dem Tschech. übers. |
| Physical Description: | XV, 422 S. graph. Darst. |
| ISBN: | 2881240232 |
Staff View
MARC
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| 100 | 1 | |a Karger, Adolf |e Verfasser |4 aut | |
| 240 | 1 | 0 | |a Prostorová kinematika a Lieovy grupy |
| 245 | 1 | 0 | |a Space kinematics and Lie groups |c Adolf Karger ; Josef Novák |
| 264 | 1 | |a New York [u.a.] |b Gordon and Breach |c 1985 | |
| 300 | |a XV, 422 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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Record in the Search Index
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| adam_text | Contents
Preface VII
List of Symbols and Notations XIV
Chapter I Preliminaries 1
1. Selection of Basic Concepts from Algebra 1
A. Matrices and Determinants 1
B. Vectors in Three dimensional Euclidean Space 7
C. Vector Spaces 15
D. Mappings of Sets and Vector Spaces 21
2. Basic Concepts from Group Theory 28
3. Basic Topological Concepts 35
4. Differential Geometry of Curves and Ruled Surfaces in E3 49
5. Differentiable Manifolds, Lie Groups 69
Chapter II Motion on the Unit Sphere 94
1. Definition of Spherical Motion 94
2. Various Ways of Representing Motion, Euler Angles 107
A. Relations between the Groups O (3), ad J, SU (2) 107
B. Introducing Euler Angles 109
3. Directing Cones, Centrodes, and Invariants of Spherical Motion 119
4. Invariants of the Trajectory of a Point, Special Motions 163
5. Kinematics of Spherical Motion 189
Chapter HI Kinematics of Space Motion 197
1. Lie Group of Congruences of E3 and its Lie Algebra 197
2. Klein Quadrics 206
3. Representation of Space Motion, Associated Spherical Motion 212
4. Directing Cones of Space Motion, Axoids, Elementary Motions 223
5. Invariants of Motion 239
6. Invariants of Axoids and Relations between the Invariants of Motion and the
Invariants of Axoids 262
7. Trajectory of a Point 270
VI Space Kinematics and Lie Groups
8. Special Motions 294
9. Dual Vectors and Trajectories of Lines 318
10. Fields of Velocities and Acceleration 345
11. Kinematic Generation of Average Envelopes 365
12. Application of Average Envelopes 372
A. Conjugate Surfaces of the Tool and Workpiece 372
B. Average Envelopes in Gearing Theory 394
References 410
Subject Index 419
|
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| discipline | Physik Mathematik |
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| id | DE-604.BV002060925 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:39:40Z |
| institution | BVB |
| isbn | 2881240232 |
| language | English Czech |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001347806 |
| oclc_num | 11621070 |
| open_access_boolean | |
| owner | DE-703 DE-29T DE-706 DE-83 |
| owner_facet | DE-703 DE-29T DE-706 DE-83 |
| physical | XV, 422 S. graph. Darst. |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Gordon and Breach |
| record_format | marc |
| spelling | Karger, Adolf Verfasser aut Prostorová kinematika a Lieovy grupy Space kinematics and Lie groups Adolf Karger ; Josef Novák New York [u.a.] Gordon and Breach 1985 XV, 422 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Aus dem Tschech. übers. Cinématique ram Lie, Groupes de ram Kinematics Lie groups Kinematik (DE-588)4030664-1 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Kinematik (DE-588)4030664-1 s Lie-Gruppe (DE-588)4035695-4 s DE-604 Novák, Josef Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001347806&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Karger, Adolf Novák, Josef Space kinematics and Lie groups Cinématique ram Lie, Groupes de ram Kinematics Lie groups Kinematik (DE-588)4030664-1 gnd Lie-Gruppe (DE-588)4035695-4 gnd |
| subject_GND | (DE-588)4030664-1 (DE-588)4035695-4 |
| title | Space kinematics and Lie groups |
| title_alt | Prostorová kinematika a Lieovy grupy |
| title_auth | Space kinematics and Lie groups |
| title_exact_search | Space kinematics and Lie groups |
| title_full | Space kinematics and Lie groups Adolf Karger ; Josef Novák |
| title_fullStr | Space kinematics and Lie groups Adolf Karger ; Josef Novák |
| title_full_unstemmed | Space kinematics and Lie groups Adolf Karger ; Josef Novák |
| title_short | Space kinematics and Lie groups |
| title_sort | space kinematics and lie groups |
| topic | Cinématique ram Lie, Groupes de ram Kinematics Lie groups Kinematik (DE-588)4030664-1 gnd Lie-Gruppe (DE-588)4035695-4 gnd |
| topic_facet | Cinématique Lie, Groupes de Kinematics Lie groups Kinematik Lie-Gruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001347806&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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