Intrinsic geometry of intersection curves of surfaces: Intrinsic geometry of intersection curves of surfaces in Euclidean spaces - Couverture souple

Badr, Sayed; Abdel-All, Nassar; Soliman, Mohamed

 
9783847322023: Intrinsic geometry of intersection curves of surfaces: Intrinsic geometry of intersection curves of surfaces in Euclidean spaces
Couverture souple
ISBN 10 : 3847322028 ISBN 13 : 9783847322023
Editeur : LAP LAMBERT Academic Publishing, 2011

Synopsis

This book is motivated by surface-surface intersection problems (SSI) in R³, self-intersection surfaces problem in R³ and three hypersurfaces intersection problems (SSSI) in R⁴. It presents algorithms for computing all the differential geometry properties of Frenet apparatus (t,n,b,κ,τ) of intersection curves of surfaces in R³ for transversal and tangential intersection. The surfaces may be implicit parameterization or parametric parameterization. It is also presents algorithms for computing all the differential geometry properties of intersection curves of Frenet apparatus (t,n,b₁,b₂,κ₁,κ₂,κ₃) of three hypersurfaces in R⁴ for transversal intersection. Some techniques for 4D visualization of objects in R⁴ have been given. Also some applications have been given and plotted.

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

Présentation de l'éditeur

This book is motivated by surface-surface intersection problems (SSI) in R³, self-intersection surfaces problem in R³ and three hypersurfaces intersection problems (SSSI) in R⁴. It presents algorithms for computing all the differential geometry properties of Frenet apparatus (t,n,b,κ,τ) of intersection curves of surfaces in R³ for transversal and tangential intersection. The surfaces may be implicit parameterization or parametric parameterization. It is also presents algorithms for computing all the differential geometry properties of intersection curves of Frenet apparatus (t,n,b₁,b₂,κ₁,κ₂,κ₃) of three hypersurfaces in R⁴ for transversal intersection. Some techniques for 4D visualization of objects in R⁴ have been given. Also some applications have been given and plotted.

Biographie de l'auteur

I’ve received my B.Sc. in mathematics from faculty of Education, Assiut University in 2005, then I’ve received my B.Sc. in mathematics from faculty of Science, Assiut University in 2007. Immediately, I registered for Master Program with research in 2008 under supervision of the head of math's dept. Then I’ve received my M.Sc. pure mathematics 2011.

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

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2011
Langue
anglais
ISBN 10 
3847322028
ISBN 13 
9783847322023
Reliure
Broché
Nombre de pages
132
Coordonnées du fabricant
non disponible
Personne responsable
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