01861nam a22002537a 450000500170000000800410001702000180005802800900007608200150016610000250018124500730020626000450027930000240032436500090034850501340035752009770049165000160146865000130148465000280149765000120152565000140153765000310155170000250158220220622121353.0220622b |||||||| |||| 00| 0 eng d a9780486806990 a:Technical Bureau India Pvt. Ltd. b:E/261, Shastri Nagar Delhic;TB621d:06/06/2022  a516.36 CAR aCarmo, Manfredo P do aDifferential Geometry of Curves and Surfacesc/ Manfredo P. do Carmo aNew York b: Dover Publications,c©2016 axvi, 510p. c24cm.  b2705 aCurves -- Regular surfaces -- The geometry of the Gauss map -- The intrinsic geometry of surfaces -- Global differential geometry aOne 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 aMathematics aGeometry aGeometry, Differential. aCurves. aSurfaces. aSurfaces (Mathématiques) aCarmo, Manfredo P do