Geometry of PDEs and mechanics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore [u.a.]
World Scientific
1996
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 750 S. |
| ISBN: | 9810225202 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV011204559 | ||
| 003 | DE-604 | ||
| 005 | 20100608 | ||
| 007 | t | ||
| 008 | 970217s1996 |||| 00||| engod | ||
| 020 | |a 9810225202 |9 981-02-2520-2 | ||
| 035 | |a (OCoLC)832470012 | ||
| 035 | |a (DE-599)BVBBV011204559 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-706 |a DE-83 |a DE-11 | ||
| 050 | 0 | |a QC125.2 | |
| 082 | 0 | |a 530.1/55353 |2 20 | |
| 084 | |a SK 450 |0 (DE-625)143240: |2 rvk | ||
| 084 | |a SK 540 |0 (DE-625)143245: |2 rvk | ||
| 084 | |a PHY 011f |2 stub | ||
| 084 | |a MAT 350f |2 stub | ||
| 100 | 1 | |a Prástaro, Agostino |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Geometry of PDEs and mechanics |c Agostino Prástaro |
| 264 | 1 | |a Singapore [u.a.] |b World Scientific |c 1996 | |
| 300 | |a X, 750 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Mathematische Physik | |
| 650 | 4 | |a Differential equations, Partial | |
| 650 | 4 | |a Geometry, Algebraic | |
| 650 | 4 | |a Mathematical physics | |
| 650 | 4 | |a Mechanics |x Mathematics | |
| 650 | 0 | 7 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |D s |
| 689 | 0 | 1 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-007515335 | ||
Datensatz im Suchindex
| _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
|
| any_adam_object | 1 |
| author | Prástaro, Agostino |
| author_facet | Prástaro, Agostino |
| author_role | aut |
| author_sort | Prástaro, Agostino |
| author_variant | a p ap |
| building | Verbundindex |
| bvnumber | BV011204559 |
| callnumber-first | Q - Science |
| callnumber-label | QC125 |
| callnumber-raw | QC125.2 |
| callnumber-search | QC125.2 |
| callnumber-sort | QC 3125.2 |
| callnumber-subject | QC - Physics |
| classification_rvk | SK 450 SK 540 |
| classification_tum | PHY 011f MAT 350f |
| ctrlnum | (OCoLC)832470012 (DE-599)BVBBV011204559 |
| dewey-full | 530.1/55353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.1/55353 |
| dewey-search | 530.1/55353 |
| dewey-sort | 3530.1 555353 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01704nam a2200469 c 4500</leader><controlfield tag="001">BV011204559</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20100608 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">970217s1996 |||| 00||| engod</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9810225202</subfield><subfield code="9">981-02-2520-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)832470012</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV011204559</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-706</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC125.2</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">530.1/55353</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 450</subfield><subfield code="0">(DE-625)143240:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 540</subfield><subfield code="0">(DE-625)143245:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 011f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 350f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Prástaro, Agostino</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Geometry of PDEs and mechanics</subfield><subfield code="c">Agostino Prástaro</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Singapore [u.a.]</subfield><subfield code="b">World Scientific</subfield><subfield code="c">1996</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 750 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematische Physik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations, Partial</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geometry, Algebraic</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical physics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mechanics</subfield><subfield code="x">Mathematics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebraische Geometrie</subfield><subfield code="0">(DE-588)4001161-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Algebraische Geometrie</subfield><subfield code="0">(DE-588)4001161-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-007515335</subfield></datafield></record></collection> |
| id | DE-604.BV011204559 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:05:44Z |
| institution | BVB |
| isbn | 9810225202 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007515335 |
| oclc_num | 832470012 |
| open_access_boolean | |
| owner | DE-706 DE-83 DE-11 |
| owner_facet | DE-706 DE-83 DE-11 |
| 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 |
| url | 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 |
| work_keys_str_mv | AT prastaroagostino geometryofpdesandmechanics |