Classification of Complex Analytic Map-Germs - Couverture souple

Name: Classification of Complex Analytic Map-Germs
Author: Al-Bahadeli, Mohammed Salim Jbara
ISBN: 9783659482267

Al-Bahadeli, Mohammed Salim Jbara

9783659482267: Classification of Complex Analytic Map-Germs

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ISBN 10 : 3659482269 ISBN 13 : 9783659482267

Editeur : LAP LAMBERT Academic Publishing, 2013

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Classification of maps is an important part of Singularity Theory. One can see that the pioneers of the subject Whitney and Thom both gave important classifications that stimulated significant amounts of research and were applied in many different contexts. In fact, Thom's classification of the seven elementary catastrophes took on a life of its own and penetrated into the public consciousness during the 1970s. In this book we develop computational method suitable for performing the classification theory. A computer package called CAST is developed. This is written in the Singular program and performs calculations such as complete transversals, finite determinacy and triviality. We discuss the package in detail and give examples of calculations performed in this book. Also, we classify map-germs $(\C^{p},0)\to (\C^{q} ,0)$ under $_V\KK$-equivalence: the restriction of $\KK $-equivalences to those preserving a particular subset of the singularity's domain. We consider the case where $V$ is the image of the minimal crosscap of multiplicity $d\geq 2$. In the final part, we give an application to classification problems. We classify corank $1$ $\AA_{e}$-codimension $2$ map-germs.

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� propos de l'auteur

M. S. J. Al-Bahadeli obtained his PhD in Mathematics at University of Leeds. He is currently a lecturer in Mathematics at University of Baghdad. His research interests are primarily in the areas of Singularity Theory; classification of complex analytic map-germs, computational methods in the classification problems and liftable vector fields.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: LAP LAMBERT Academic Publishing
Date d'�dition: 2013
Langue: anglais
ISBN 10: 3659482269
ISBN 13: 9783659482267
Reliure: Broch�
Nombre de pages: 192
Coordonn�es du fabricant: non disponible
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Classification of Complex Analytic Map-Germs

Mohammed Salim Jbara Al-Bahadeli

Edit� par LAP LAMBERT Academic Publishing Okt 2013, 2013

ISBN 10 : 3659482269 ISBN 13 : 9783659482267

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Classification of maps is an important part of Singularity Theory. One can see that the pioneers of the subject Whitney and Thom both gave important classifications that stimulated significant amounts of research and were applied in many different contexts. In fact, Thom's classification of the seven elementary catastrophes took on a life of its own and penetrated into the public consciousness during the 1970s. In this book we develop computational method suitable for performing the classification theory. A computer package called CAST is developed. This is written in the Singular program and performs calculations such as complete transversals, finite determinacy and triviality. We discuss the package in detail and give examples of calculations performed in this book. Also, we classify map-germs $(C^{p},0)to (C^{q} ,0)$ under $_VKK$-equivalence: the restriction of $KK $-equivalences to those preserving a particular subset of the singularity's domain. We consider the case where $V$ is the image of the minimal crosscap of multiplicity $dgeq 2$. In the final part, we give an application to classification problems. We classify corank $1$ $AA_{e}$-codimension $2$ map-germs. 192 pp. Englisch. N� de r�f. du vendeur 9783659482267

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Classification of Complex Analytic Map-Germs

Mohammed Salim Jbara Al-Bahadeli

Edit� par LAP LAMBERT Academic Publishing, 2013

ISBN 10 : 3659482269 ISBN 13 : 9783659482267

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Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Classification of maps is an important part of Singularity Theory. One can see that the pioneers of the subject Whitney and Thom both gave important classifications that stimulated significant amounts of research and were applied in many different contexts. In fact, Thom's classification of the seven elementary catastrophes took on a life of its own and penetrated into the public consciousness during the 1970s. In this book we develop computational method suitable for performing the classification theory. A computer package called CAST is developed. This is written in the Singular program and performs calculations such as complete transversals, finite determinacy and triviality. We discuss the package in detail and give examples of calculations performed in this book. Also, we classify map-germs $(C^{p},0)o (C^{q} ,0)$ under $_VKK$-equivalence: the restriction of $KK $-equivalences to those preserving a particular subset of the singularity's domain. We consider the case where $V$ is the image of the minimal crosscap of multiplicity $dgeq 2$. In the final part, we give an application to classification problems. We classify corank $1$ $AA_{e}$-codimension $2$ map-germs. N� de r�f. du vendeur 9783659482267

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Classification of Complex Analytic Map-Germs

Mohammed Salim Jbara Al-Bahadeli

Edit� par LAP LAMBERT Academic Publishing, 2013

ISBN 10 : 3659482269 ISBN 13 : 9783659482267

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Al-Bahadeli Mohammed Salim JbaraM. S. J. Al-Bahadeli obtained his PhD in Mathematics at University of Leeds. He is currently a lecturer in Mathematics at University of Baghdad. His research interests are primarily in the areas of Sin. N� de r�f. du vendeur 5158856

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Classification of Complex Analytic Map-Germs

Al-Bahadeli, Mohammed Salim Jbara

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Classification of Complex Analytic Map-Germs

Mohammed Salim Jbara Al-Bahadeli

Edit� par LAP LAMBERT Academic Publishing, 2013

ISBN 10 : 3659482269 ISBN 13 : 9783659482267

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Classification of Complex Analytic Map-Germs

Mohammed Salim Jbara Al-Bahadeli

Edit� par LAP LAMBERT Academic Publishing Okt 2013, 2013

ISBN 10 : 3659482269 ISBN 13 : 9783659482267

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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -Classification of maps is an important part of Singularity Theory. One can see that the pioneers of the subject Whitney and Thom both gave important classifications that stimulated significant amounts of research and were applied in many different contexts. In fact, Thom's classification of the seven elementary catastrophes took on a life of its own and penetrated into the public consciousness during the 1970s. In this book we develop computational method suitable for performing the classification theory. A computer package called CAST is developed. This is written in the Singular program and performs calculations such as complete transversals, finite determinacy and triviality. We discuss the package in detail and give examples of calculations performed in this book. Also, we classify map-germs $(C^{p},0)o (C^{q} ,0)$ under $_VKK$-equivalence: the restriction of $KK $-equivalences to those preserving a particular subset of the singularity's domain. We consider the case where $V$ is the image of the minimal crosscap of multiplicity $dgeq 2$. In the final part, we give an application to classification problems. We classify corank $1$ $AA_{e}$-codimension $2$ map-germs.VDM Verlag, Dudweiler Landstra�e 99, 66123 Saarbr�cken 192 pp. Englisch. N� de r�f. du vendeur 9783659482267

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