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Geometric Differentiation: For the Intelligence of Curves and Surfaces - Couverture rigide

Porteous, I. R.

 
9780521390637: Geometric Differentiation: For the Intelligence of Curves and Surfaces
Couverture rigide
ISBN 10 : 052139063X ISBN 13 : 9780521390637
Editeur : Cambridge University Press, 1994

Synopsis

Geometry is to the fore in this textbook. Inspired by the work of Thom and Arnol'd on Singularity Theory, topics such as umbilics, ridges and subparabolic lines, all robust features of a smooth surface, which are rarely treated in elementary courses on differential geometry, are here considered in detail. These features are of immediate relevance in modern areas of application including pattern recognition, computer vision, electronic scanning and remote sensing. Central to the exposition is the role of certain cubic forms associated with a surface; using this theory many interesting results are proved and illustrative examples explored. The text is based on extensive teaching at Liverpool University to audiences of advanced undergraduate and beginning postgraduate students in mathematics, but its wide applicability will mean that it will also appeal to scientists and engineers from a variety of other disciplines.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Geometry is to the fore in this textbook. Inspired by the work of Thom and Arnol'd on Singularity Theory, topics such as umbilics, ridges and subparabolic lines, all robust features of a smooth surface, which are rarely treated in elementary courses on differential geometry, are here considered in detail. These features are of immediate relevance in modern areas of application including pattern recognition, computer vision, electronic scanning and remote sensing. Central to the exposition is the role of certain cubic forms associated with a surface; using this theory many interesting results are proved and illustrative examples explored. The text is based on extensive teaching at Liverpool University to audiences of advanced undergraduate and beginning postgraduate students in mathematics, but its wide applicability will mean that it will also appeal to scientists and engineers from a variety of other disciplines.

Revue de presse

'The very geometric point of view and many exercises induce me to recommend this book for everyone interested in differential geometry of curves and surfaces.' Internationale Mathematische Nachrichten

'... a very good and interesting introduction to differential geometry of curves and surfaces, which can be recommended to anybody interested in the subject.' EMS Newsletter

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
1994
Langue
anglais
ISBN 10 
052139063X
ISBN 13 
9780521390637
Reliure
Relié
Nombre de pages
315
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

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France