000 01913nam a22002777a 4500
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020 _a9780486806990
028 _a:Technical Bureau India Pvt. Ltd.
_b:E/261, Shastri Nagar Delhi
_c;TB621
_d:06/06/2022
082 _a516.36 CAR
100 _aCarmo, Manfredo P do
245 _aDifferential Geometry of Curves and Surfaces
_c/ Manfredo P. do Carmo
260 _aNew York
_b: Dover Publications,
_c©2016
300 _axvi, 510p.
_c24cm.
365 _b2705
505 _aCurves -- Regular surfaces -- The geometry of the Gauss map -- The intrinsic geometry of surfaces -- Global differential geometry
520 _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
650 _aMathematics
650 _aGeometry
650 _aGeometry, Differential.
650 _aCurves.
650 _aSurfaces.
650 _aSurfaces (Mathématiques)
700 _aCarmo, Manfredo P do
942 _cMDL
999 _c59418
_d59418