Intrinsic geometry of intersection curves of surfaces: Intrinsic geometry of intersection curves of surfaces in Euclidean spaces - Softcover

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

Softcover

ISBN 10: 3847322028 ISBN 13: 9783847322023

Verlag: LAP LAMBERT Academic Publishing, 2011

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

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.

Details zur Ausgabe

• Verlag: LAP LAMBERT Academic Publishing
• Erscheinungsdatum: 2011
• Sprache: Englisch
• ISBN 10: 3847322028
• ISBN 13: 9783847322023
• Einband: Taschenbuch
• Anzahl der Seiten: 132
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: SIA OmniScriptum Publishing; customerservice@vdm-vsg.de; ; Brivibas gatve 197; Riga; 1039; Lettland