Download E-books Differential Geometry of Curves and Surfaces: Second Edition (Dover Books on Mathematics) PDF

One of the main primary texts in its box, this quantity introduces the differential geometry of curves and surfaces in either neighborhood and international points. The presentation departs from the normal strategy with its extra huge use of undemanding linear algebra and its emphasis on uncomplicated geometrical proof instead of equipment or random info. Many examples and routines improve the transparent, well-written exposition, besides tricks and solutions to a couple of the problems.
The remedy starts off with a bankruptcy on curves, by way of explorations of normal surfaces, the geometry of the Gauss map, the intrinsic geometry of surfaces, and international differential geometry. appropriate for complicated undergraduates and graduate scholars of arithmetic, this text's necessities contain an undergraduate direction in linear algebra and a few familiarity with the calculus of numerous variables.

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