000			01649nam a22002897a 4500
003			IIITD
005			20250521172039.0
008			250514b |||||||| |||| 00| 0 eng d
020			_a 9783031623837
040			_aIIITD
082			_a516.36 _bARA-D
100			_aAraujo, Paulo Ventura
245			_aDifferential geometry _cby Paulo Ventura Araujo
260			_aSwitzerland : _bSpringer, _c©2024
300			_aviii, 185 p. : _bill. ; _c24 cm.
500			_aIncludes index
505			_t1. Differentiable Curves
505			_t2. Regular Surfaces
505			_t3. The Geometry of the Gauss Map
505			_t4. The Intrinsic Geometry of Surfaces
505			_t5. The Global Geometry of Surfaces
520			_aThis textbook provides a concise introduction to the differential geometry of curves and surfaces in three-dimensional space, tailored for undergraduate students with a solid foundation in mathematical analysis and linear algebra. The book emphasizes the geometric content of the subject, aiming to quickly cover fundamental topics such as the isoperimetric inequality and the Gauss–Bonnet theorem. This approach allows the author to extend beyond the typical content of introductory books and include additional important geometric results, such as curves and surfaces of constant width, the classification of complete surfaces of non-negative constant curvature, and Hadamard's theorem on surfaces of non-positive curvature. This range of topics offers greater variety for an introductory course.
650			_aMathematics
650			_aDifferntial geometry
650			_aGeometry of surfaces
942			_cBK _2ddc
999			_c189954 _d189954