Carmo, Manfredo P do creator Carmo, Manfredo P do text New York : Dover Publications ©2016 monographic eng

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xvi, 510p. 24cm. One of the most widely used texts in its field, this volume introduces the differential geometry of curves and surfaces in both local and global aspects. The presentation departs from the traditional approach with its more extensive use of elementary linear algebra and its emphasis on basic geometrical facts rather than machinery or random details. Many examples and exercises enhance the clear, well-written exposition, along with hints and answers to some of the problems. The treatment begins with a chapter on curves, followed by explorations of regular surfaces, the geometry of the Gauss map, the intrinsic geometry of surfaces, and global differential geometry. Suitable for advanced undergraduates and graduate students of mathematics, this text's prerequisites include an undergraduate course in linear algebra and some familiarity with the calculus of several variables. For this second edition, the author has corrected, revised, and updated the entire volume Curves -- Regular surfaces -- The geometry of the Gauss map -- The intrinsic geometry of surfaces -- Global differential geometry / Manfredo P. do Carmo Mathematics Geometry Geometry, Differential Curves Surfaces Surfaces (Mathématiques) 516.36 CAR 9780486806990 :Technical Bureau India Pvt. Ltd. :E/261, Shastri Nagar Delhi 220622 20220622121333.0