Articoli correlati a Classification of Complex Analytic Map-Germs
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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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Informazioni sull'autore
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.
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Classification of Complex Analytic Map-Germs
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LAP LAMBERT Academic Publishing Okt 2013, 2013
ISBN 10: 3659482269
ISBN 13: 9783659482267
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Taschenbuch. Condizione: 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. Codice articolo 9783659482267
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Classification of Complex Analytic Map-Germs
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Taschenbuch. Condizione: 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. Codice articolo 9783659482267
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Condizione: 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. Codice articolo 5158856
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Classification of Complex Analytic Map-Germs
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Taschenbuch. Condizione: Neu. Classification of Complex Analytic Map-Germs | Mohammed Salim Jbara Al-Bahadeli | Taschenbuch | 192 S. | Englisch | 2013 | LAP LAMBERT Academic Publishing | EAN 9783659482267 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu. Codice articolo 105597444
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Classification of Complex Analytic Map-Germs
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LAP LAMBERT Academic Publishing Okt 2013, 2013
ISBN 10: 3659482269
ISBN 13: 9783659482267
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Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Taschenbuch. Condizione: 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 Landstraße 99, 66123 Saarbrücken 192 pp. Englisch. Codice articolo 9783659482267
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Classification of Complex Analytic Map-Germs
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VDM Verlag Dr. Mueller Aktiengesellschaft & Co. KG, 2013
ISBN 10: 3659482269
ISBN 13: 9783659482267
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Classification of Complex Analytic Map-Germs
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VDM Verlag Dr. Mueller Aktiengesellschaft & Co. KG, 2013
ISBN 10: 3659482269
ISBN 13: 9783659482267
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Condizione: New. PRINT ON DEMAND pp. 192. Codice articolo 18126738128
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