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Singularities of differentiable maps: Volume 1 The classification of critical points, caustics and wave fronts

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Bibliographic Details
Main Authors:	Arnolʹd, V. I. 1937-2010 (Author), Gusejn-Zade, Sabir M. (Author), Varčenko, Aleksandr N. 1949- (Author)
Other Authors:	Porteous, Ian R. 1930-2011 (Translator), Reynolds, Mark (Translator)
Format:	Book
Language:	English Russian
Published:	Boston ; Basel ; Berlin Birkhäuser 1985
Series:	Monographs in mathematics Vol. 82
Subjects:	Differentiable mappings Singularities (Mathematics)
Links:	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
Physical Description:	x, 382 Seiten Illustrationen
ISBN:	3764331879 9781461295891

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adam_text	Table of Contents Foreword vii Part I. Basic concepts 1 1. The simplest examples 3 2. The classes Â£ 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
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author	Arnolʹd, V. I. 1937-2010 Gusejn-Zade, Sabir M. Varčenko, Aleksandr N. 1949-
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isbn	3764331879 9781461295891
language	English Russian
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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
volume_link	(DE-604)BV000215923 (DE-604)BV000008284
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