Singularities of differentiable maps: Volume 1 The classification of critical points, caustics and wave fronts
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Weitere Verfasser: | , |
| Format: | Buch |
| Sprache: | English Russian |
| Veröffentlicht: |
Boston ; Basel ; Berlin
Birkhäuser
1985
|
| Schriftenreihe: | Monographs in mathematics
Vol. 82 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | x, 382 Seiten Illustrationen |
| ISBN: | 3764331879 9781461295891 |
Internformat
MARC
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| 100 | 1 | |a Arnolʹd, V. I. |d 1937-2010 |e Verfasser |0 (DE-588)119540878 |4 aut | |
| 240 | 1 | 0 | |a Osobennosti differenciruemych otobraženji |
| 245 | 1 | 0 | |a Singularities of differentiable maps |n Volume 1 |p The classification of critical points, caustics and wave fronts |c V. I. Arnold ; S. M. Gusein-Zade ; A. N. Varchenko. Under the editorship of V. I. Arnold |
| 264 | 1 | |a Boston ; Basel ; Berlin |b Birkhäuser |c 1985 | |
| 300 | |a x, 382 Seiten |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Monographs in mathematics |v Vol. 82 | |
| 490 | 0 | |a Monographs in mathematics | |
| 650 | 4 | |a Differentiable mappings | |
| 650 | 4 | |a Singularities (Mathematics) | |
| 700 | 1 | |a Porteous, Ian R. |d 1930-2011 |0 (DE-588)139752633 |4 trl | |
| 700 | 1 | |a Gusejn-Zade, Sabir M. |e Verfasser |0 (DE-588)170920453 |4 aut | |
| 700 | 1 | |a Reynolds, Mark |4 trl | |
| 700 | 1 | |a Varčenko, Aleksandr N. |d 1949- |e Verfasser |0 (DE-588)115203257 |4 aut | |
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| 830 | 0 | |a Monographs in mathematics |v Vol. 82 |w (DE-604)BV000008284 |9 82 | |
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Datensatz im Suchindex
| _version_ | 1804114678475915264 |
|---|---|
| adam_text | Table of Contents
Foreword vii
Part I. Basic concepts 1
1. The simplest examples 3
2. The classes £ 27
3. The quadratic differential of a map 60
4. The local algebra of a map and the Weierstrass preparation theorem 72
5. The local multiplicity of a holomorphic map 84
6. Stability and infinitesimal stability 115
7. The proof of the stability theorem 133
8. Versal deformations 145
9. The classification of stable germs by genotype 157
10. Review of further results 173
Part II. Critical points of smooth functions 183
11. A start to the classification of critical points 187
12. Quasihomogeneous and semiquasihomogeneous singularities . .192
13. The classification of quasihomogeneous functions 217
14. Spectral sequences for the reduction to normal forms 231
15. Lists of singularities 242
16. The determinator of singularities 258
17. Real, symmetric and boundary singularities 272
Part III. Singularities of caustics and wave fronts 285
18. Lagrangian singularities 287
19. Generating families 298
20. Legendrian singularities 310
21. The classification of Lagrangian and Legendrian singularities . . 325
22. The bifurcation of caustics and wave fronts 346
x Table of contents
References 360
Further references 371
Subject Index 375
|
| any_adam_object | 1 |
| author | Arnolʹd, V. I. 1937-2010 Gusejn-Zade, Sabir M. Varčenko, Aleksandr N. 1949- |
| author2 | Porteous, Ian R. 1930-2011 Reynolds, Mark |
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| author_facet | Arnolʹd, V. I. 1937-2010 Gusejn-Zade, Sabir M. Varčenko, Aleksandr N. 1949- Porteous, Ian R. 1930-2011 Reynolds, Mark |
| author_role | aut aut aut |
| author_sort | Arnolʹd, V. I. 1937-2010 |
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| bvnumber | BV000215924 |
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| dewey-full | 514/.7219 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.72 19 |
| dewey-search | 514/.72 19 |
| dewey-sort | 3514 272 219 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV000215924 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:10:32Z |
| institution | BVB |
| isbn | 3764331879 9781461295891 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000127866 |
| oclc_num | 605472693 |
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| physical | x, 382 Seiten Illustrationen |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Birkhäuser |
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| series | Monographs in mathematics |
| series2 | Monographs in mathematics |
| spelling | Arnolʹd, V. I. 1937-2010 Verfasser (DE-588)119540878 aut Osobennosti differenciruemych otobraženji Singularities of differentiable maps Volume 1 The classification of critical points, caustics and wave fronts V. I. Arnold ; S. M. Gusein-Zade ; A. N. Varchenko. Under the editorship of V. I. Arnold Boston ; Basel ; Berlin Birkhäuser 1985 x, 382 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Monographs in mathematics Vol. 82 Monographs in mathematics Differentiable mappings Singularities (Mathematics) Porteous, Ian R. 1930-2011 (DE-588)139752633 trl Gusejn-Zade, Sabir M. Verfasser (DE-588)170920453 aut Reynolds, Mark trl Varčenko, Aleksandr N. 1949- Verfasser (DE-588)115203257 aut (DE-604)BV000215923 1 Erscheint auch als Online-Ausgabe 978-1-4612-5154-5 Monographs in mathematics Vol. 82 (DE-604)BV000008284 82 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000127866&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Arnolʹd, V. I. 1937-2010 Gusejn-Zade, Sabir M. Varčenko, Aleksandr N. 1949- Singularities of differentiable maps Monographs in mathematics Differentiable mappings Singularities (Mathematics) |
| title | Singularities of differentiable maps |
| title_alt | Osobennosti differenciruemych otobraženji |
| title_auth | Singularities of differentiable maps |
| title_exact_search | Singularities of differentiable maps |
| title_full | Singularities of differentiable maps Volume 1 The classification of critical points, caustics and wave fronts V. I. Arnold ; S. M. Gusein-Zade ; A. N. Varchenko. Under the editorship of V. I. Arnold |
| title_fullStr | Singularities of differentiable maps Volume 1 The classification of critical points, caustics and wave fronts V. I. Arnold ; S. M. Gusein-Zade ; A. N. Varchenko. Under the editorship of V. I. Arnold |
| title_full_unstemmed | Singularities of differentiable maps Volume 1 The classification of critical points, caustics and wave fronts V. I. Arnold ; S. M. Gusein-Zade ; A. N. Varchenko. Under the editorship of V. I. Arnold |
| title_short | Singularities of differentiable maps |
| title_sort | singularities of differentiable maps the classification of critical points caustics and wave fronts |
| topic | Differentiable mappings Singularities (Mathematics) |
| topic_facet | Differentiable mappings Singularities (Mathematics) |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000127866&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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