000			02675nam a22004095i 4500
001			978-0-8176-4402-4
003			DE-He213
005			20251006084433.0
007			cr nn 008mamaa
008			100301s2006 xxu| s |||| 0|eng d
020			_a9780817644024
020			_a99780817644024
024	7		_a10.1007/b137116 _2doi
082	0	4	_a516.36 _223
100	1		_aToponogov, Victor A. _eauthor.
245	1	0	_aDifferential Geometry of Curves and Surfaces _h[electronic resource] : _bA Concise Guide / _cby Victor A. Toponogov ; edited by Vladimir Y. Rovenski.
264		1	_aBoston, MA : _bBirkhäuser Boston, _c2006.
300			_aXII, 206 p. 70 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aTheory of Curves in Three-dimensional Euclidean Space and in the Plane -- Extrinsic Geometry of Surfaces in Three-dimensional Euclidean Space -- Intrinsic Geometry of Surfaces.
520			_aThe study of curves and surfaces forms an important part of classical differential geometry. Differential Geometry of Curves and Surfaces: A Concise Guide presents traditional material in this field along with important ideas of Riemannian geometry. The reader is introduced to curves, then to surfaces, and finally to more complex topics. Standard theoretical material is combined with more difficult theorems and complex problems, while maintaining a clear distinction between the two levels. Key topics and features: * Covers central concepts including curves, surfaces, geodesics, and intrinsic geometry * Substantive material on the Aleksandrov global angle comparison theorem, which the author generalized for Riemannian manifolds (a result now known as the celebrated Toponogov Comparison Theorem, one of the cornerstones of modern Riemannian geometry) * Contains many nontrivial and original problems, some with hints and solutions This rigorous exposition, with well-motivated topics, is ideal for advanced undergraduate and first-year graduate students seeking to enter the fascinating world of geometry.
650		0	_aMATHEMATICS.
650		0	_aGLOBAL DIFFERENTIAL GEOMETRY.
650	1	4	_aMATHEMATICS.
650	2	4	_aDIFFERENTIAL GEOMETRY.
700	1		_aRovenski, Vladimir Y. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817643843
856	4	0	_uhttp://dx.doi.org/10.1007/b137116 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59607 _d59607