Geometry of PDEs and mechanics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore [u.a.]
World Scientific
1996
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 750 S. |
| ISBN: | 9810225202 |
Staff View
MARC
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| 650 | 4 | |a Mathematical physics | |
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Record in the Search Index
| _version_ | 1804125701368971264 |
|---|---|
| adam_text | CONTENTS
1. ALGEBRAIC GEOMETRY
1.1 Algebraic Complements 2
1.2 Affine Spaces 7
1.3 Differential Manifolds 9
1.4 Grassmann Manifolds 18
1.5 Spectral Sequences 31
2. DIFFERENTIAL EQUATIONS (PDEs)
2.1 Geometry of Differential Equations 68
2.2 Ordinary Differential Equations (ODEs) 94
2.3 Characteristics of PDEs 108
2.4 Affine PDEs and Green Functions 129
2.5 Spectral Sequences in PDEs 200
2.6 Tunnel Effects in PDEs 225
2.7 Cobordism Groups in PDEs 241
3. MECHANICS
3.1 Structure of Galilean Space Time 307
3.2 One Body Dynamics 331
3.3 Important Formulas 347
3.4 Fundamental Theorems of Dynamics 353
3.5 Lagrangian Mechanics for Perfect Holonomic Systems 369
3.6 Rigid Body Dynamics 381
4. CONTINUUM MECHANICS
4.1 Flow 393
4.2 Stress Tensor and Moment of Stress Tensor 397
4.3 Local Dynamic Equations 400
4.4 Thermodynamics of Continuum Media 409
4.5 Rheological Classification of Materials 420
4.6 Rheoptics 479
4.7 Multicomponent Continuum Systems 487
4.8 Variational Field Theory 502
5. QUANTUM FIELD THEORY
5.1 Locally Convex Manifolds and Derivative Spaces 533
5.2 Differential Geometry of Quantum Situs 544
5.3 Mathematical Logic and Quantization of PDEs 555
5.4 Formal and Dirac Quantizations of PDEs 561
5.5 Canonical Quantization of PDEs 619
ix
6. GEOMETRY OF QUANTUM PDEs
6.1 Differential Geometry of Quantum Manifolds 626
6.2 Cohomology of Quantum Manifolds 663
6.3 Formal Theory of Quantum PDEs 671
6.4 Cartan Spectral Sequences of Quantum PDEs 681
6.5 Quantum Distributions and Singular Solutions of Quantum PDEs 694
6.6 Tunnel Effects in Quantum PDEs 701
6.7 Quantum PDEs Non holonomic Connections 706
6.8 Gauge Quantum PDEs 715
6.9 Supergravity Quantum PDEs 719
References 725
Index 733
List of Symbols 749
|
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| discipline | Physik Mathematik |
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| id | DE-604.BV011204559 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:05:44Z |
| institution | BVB |
| isbn | 9810225202 |
| language | English |
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| physical | X, 750 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Prástaro, Agostino Verfasser aut Geometry of PDEs and mechanics Agostino Prástaro Singapore [u.a.] World Scientific 1996 X, 750 S. txt rdacontent n rdamedia nc rdacarrier Mathematik Mathematische Physik Differential equations, Partial Geometry, Algebraic Mathematical physics Mechanics Mathematics Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Algebraische Geometrie (DE-588)4001161-6 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007515335&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Prástaro, Agostino Geometry of PDEs and mechanics Mathematik Mathematische Physik Differential equations, Partial Geometry, Algebraic Mathematical physics Mechanics Mathematics Partielle Differentialgleichung (DE-588)4044779-0 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4001161-6 |
| title | Geometry of PDEs and mechanics |
| title_auth | Geometry of PDEs and mechanics |
| title_exact_search | Geometry of PDEs and mechanics |
| title_full | Geometry of PDEs and mechanics Agostino Prástaro |
| title_fullStr | Geometry of PDEs and mechanics Agostino Prástaro |
| title_full_unstemmed | Geometry of PDEs and mechanics Agostino Prástaro |
| title_short | Geometry of PDEs and mechanics |
| title_sort | geometry of pdes and mechanics |
| topic | Mathematik Mathematische Physik Differential equations, Partial Geometry, Algebraic Mathematical physics Mechanics Mathematics Partielle Differentialgleichung (DE-588)4044779-0 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| topic_facet | Mathematik Mathematische Physik Differential equations, Partial Geometry, Algebraic Mathematical physics Mechanics Mathematics Partielle Differentialgleichung Algebraische Geometrie |
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