Lie pseudogroups and mechanics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Gordon and Breach
1988
|
| Schriftenreihe: | Mathematics and its applications
16 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 591 S. graph. Darst. |
| ISBN: | 2881242138 |
Internformat
MARC
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| 100 | 1 | |a Pommaret, Jean F. |d 1945- |e Verfasser |0 (DE-588)174092482 |4 aut | |
| 245 | 1 | 0 | |a Lie pseudogroups and mechanics |c J. F. Pommaret |
| 264 | 1 | |a New York [u.a.] |b Gordon and Breach |c 1988 | |
| 300 | |a IX, 591 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematics and its applications |v 16 | |
| 650 | 7 | |a Equations aux dérivées partielles |2 ram | |
| 650 | 7 | |a Lie, Groupes de |2 ram | |
| 650 | 7 | |a Mécanique |2 ram | |
| 650 | 7 | |a Pseudogroupes (Mathématiques) |2 ram | |
| 650 | 4 | |a Differential equations, Partial | |
| 650 | 4 | |a Lie groups | |
| 650 | 4 | |a Mechanics | |
| 650 | 4 | |a Pseudogroups | |
| 650 | 0 | 7 | |a Lie-Pseudogruppe |0 (DE-588)4513435-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |D s |
| 689 | 0 | 1 | |a Lie-Pseudogruppe |0 (DE-588)4513435-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Mathematics and its applications |v 16 |w (DE-604)BV008163334 |9 16 | |
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| 940 | 1 | |q TUB-www | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-001354526 | ||
Datensatz im Suchindex
| _version_ | 1804116521374449664 |
|---|---|
| adam_text | CONTENTS
Preface ......... ix
INTRODUCTION 1
CHAPTER I
HISTORICAL SURVEY 14
A Geometry 14
B Physics 60
CHAPTER II
SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS . 108
A Jet theory 108
B Non linear systems of PDE . . • . . .116
C Linear systems ........ 147
CHAPTER III
LIE PSEUDOGROUPS 172
A Lie groups ......... 172
B Lie equations ........ 179
C Differential invariants 197
D Differential sequences ....... 208
1 Non linear Janet sequence ..... 208
2 Non linear Spencer sequence ..... 227
CONTENTS vii
CHAPTER IV
CONTINUUM MECHANICS 248
A Variational calculus . . . . . . .250
B Dynamics on Lie pseudogroups ..... 265
C Dynamics on Lie groups . . . . . 291
1 Cosserat theory . . . . . . .291
2 Birkhoff Arnold theory ...... 305
CHAPTER V
GAUGE THEORY 319
A Classical gauge theory . . . . . . 321
B Conformal approach ....... 328
C Generalized thermodynamics . . . . . 361
CHAPTER VI
RELATIVITY THEORY 405
A Special Relativity........ 405
B General Relativity 413
CHAPTER VII
DIFFERENTIAL ALGEBRAIC GEOMETRY . . .453
A Differential Galois theory . . . . . .453
B Applications 492
1 Dynamical systems ....... 492
2 Control theory 507
CHAPTER VIII
DEFORMATION THEORY 528
A Deformation of Lie algebras ...... 529
B Deformation of Lie equations ...... 540
viii CONTENTS
BIBLIOGRAPHY 556
APPENDIX 562
INDEX OF NOTATIONS 578
INDEX OF DEFINITIONS 583
|
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| dewey-sort | 3512 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV002070996 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:39:50Z |
| institution | BVB |
| isbn | 2881242138 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001354526 |
| oclc_num | 15549507 |
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| physical | IX, 591 S. graph. Darst. |
| psigel | TUB-www |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Gordon and Breach |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spelling | Pommaret, Jean F. 1945- Verfasser (DE-588)174092482 aut Lie pseudogroups and mechanics J. F. Pommaret New York [u.a.] Gordon and Breach 1988 IX, 591 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 16 Equations aux dérivées partielles ram Lie, Groupes de ram Mécanique ram Pseudogroupes (Mathématiques) ram Differential equations, Partial Lie groups Mechanics Pseudogroups Lie-Pseudogruppe (DE-588)4513435-2 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Lie-Pseudogruppe (DE-588)4513435-2 s DE-604 Mathematics and its applications 16 (DE-604)BV008163334 16 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001354526&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pommaret, Jean F. 1945- Lie pseudogroups and mechanics Mathematics and its applications Equations aux dérivées partielles ram Lie, Groupes de ram Mécanique ram Pseudogroupes (Mathématiques) ram Differential equations, Partial Lie groups Mechanics Pseudogroups Lie-Pseudogruppe (DE-588)4513435-2 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4513435-2 (DE-588)4044779-0 |
| title | Lie pseudogroups and mechanics |
| title_auth | Lie pseudogroups and mechanics |
| title_exact_search | Lie pseudogroups and mechanics |
| title_full | Lie pseudogroups and mechanics J. F. Pommaret |
| title_fullStr | Lie pseudogroups and mechanics J. F. Pommaret |
| title_full_unstemmed | Lie pseudogroups and mechanics J. F. Pommaret |
| title_short | Lie pseudogroups and mechanics |
| title_sort | lie pseudogroups and mechanics |
| topic | Equations aux dérivées partielles ram Lie, Groupes de ram Mécanique ram Pseudogroupes (Mathématiques) ram Differential equations, Partial Lie groups Mechanics Pseudogroups Lie-Pseudogruppe (DE-588)4513435-2 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Equations aux dérivées partielles Lie, Groupes de Mécanique Pseudogroupes (Mathématiques) Differential equations, Partial Lie groups Mechanics Pseudogroups Lie-Pseudogruppe Partielle Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001354526&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008163334 |
| work_keys_str_mv | AT pommaretjeanf liepseudogroupsandmechanics |