Differential Geometry of Curves and Surfaces

• Κύριος συγγραφέας: Tapp, Kristopher (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Σειρά: Undergraduate Texts in Mathematics,
• Θέματα: Mathematics.; Differential geometry.; Differential Geometry.

This is a textbook on differential geometry well-suited to a variety of courses on this topic. For readers seeking an elementary text, the prerequisites are minimal and include plenty of examples and intermediate steps within proofs, while providing an invitation to more excursive applications and a...

Πίνακας περιεχομένων:

• Introduction
• Curves
• Additional topics in curves
• Surfaces
• The curvature of a surface
• Geodesics
• The Gauss–Bonnet theorem
• Appendix A: The topology of subsets of Rn
• Recommended excursions
• Index.