Download e-book for kindle: Differential Geometry of Curves and Surfaces: Revised and by Manfredo P. do Carmo

By Manfredo P. do Carmo

One of the main time-honored texts in its box, this quantity introduces the differential geometry of curves and surfaces in either neighborhood and worldwide features. The presentation departs from the conventional method with its extra large use of hassle-free linear algebra and its emphasis on easy geometrical evidence 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 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. compatible for complex undergraduates and graduate scholars of arithmetic, this text's necessities comprise an undergraduate path in linear algebra and a few familiarity with the calculus of a number of variables. For this moment version, the writer has corrected, revised, and up to date the total volume.

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Differential Geometry of Curves and Surfaces: Revised and Updated Second Edition (Dover Books on Mathematics) by Manfredo P. do Carmo


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