zbMATH — the first resource for mathematics

Elementary differential geometry. 2nd ed. (English) Zbl 0974.53001
Orlando, FL: Academic Press. xi, 482 p. (1997).
For the first ed. (Academic Press, New York, 1966) see Zbl 0971.53500.
Contents: (I) Calculus on Euclidean space; (II) Frame fields (curves in space); (III) Euclidean geometry (rigid motions in space, as they affect curves and surfaces); (IV) Calculus on a surface (2-dimensional differentiable manifolds); (V) Shape operators (embedded surfaces in \(E^3\); local theory); (VI) Geometry of surfaces in \(E^3\) (also global aspects); (VII) Riemannian geometry (intrinsic theory of surfaces with Riemannian metric).

53-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry
PDF BibTeX Cite