By Victor A. Toponogov (auth.), Vladimir Y. Rovenski (eds.)

The examine of curves and surfaces kinds a major a part of classical differential geometry. *Differential Geometry of Curves and Surfaces: A Concise Guide* provides conventional fabric during this box in addition to very important principles of Riemannian geometry. The reader is brought to curves, then to surfaces, and eventually to extra complicated issues. commonplace theoretical fabric is mixed with more challenging theorems and intricate difficulties, whereas preserving a transparent contrast among the 2 levels.

Key subject matters and features:

* Covers relevant suggestions together with curves, surfaces, geodesics, and intrinsic geometry

* significant fabric at the Aleksandrov worldwide attitude comparability theorem, which the writer generalized for Riemannian manifolds (a outcome referred to now because the celebrated *Toponogov comparability Theorem*, one of many cornerstones of recent Riemannian geometry)

* comprises many nontrivial and unique difficulties, a few with tricks and solutions

This rigorous exposition, with well-motivated subject matters, is perfect for complicated undergraduate and first-year graduate scholars trying to input the interesting international of geometry.