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| 001 | 290940 | ||
| 003 | MX-SnUAN | ||
| 005 | 20160429154820.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 150903s2010 xxk| o |||| 0|eng d | ||
| 020 |
_a9781848828919 _99781848828919 |
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| 024 | 7 |
_a10.1007/9781848828919 _2doi |
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| 035 | _avtls000344565 | ||
| 039 | 9 |
_a201509030355 _bVLOAD _c201405050309 _dVLOAD _y201402061300 _zstaff |
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_aMX-SnUAN _bspa _cMX-SnUAN _erda |
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| 050 | 4 | _aQA641-670 | |
| 100 | 1 |
_aPressley, Andrew. _eautor _9321962 |
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| 245 | 1 | 0 |
_aElementary Differential Geometry / _cby Andrew Pressley. |
| 250 | _a2. | ||
| 264 | 1 |
_aLondon : _bSpringer London, _c2010. |
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| 300 |
_axI, 395 páginas 150 ilustraciones _brecurso en línea. |
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| 336 |
_atexto _btxt _2rdacontent |
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| 337 |
_acomputadora _bc _2rdamedia |
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| 338 |
_arecurso en línea _bcr _2rdacarrier |
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| 347 |
_aarchivo de texto _bPDF _2rda |
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| 490 | 0 |
_aSpringer Undergraduate Mathematics Series, _x1615-2085 |
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| 500 | _aSpringer eBooks | ||
| 505 | 0 | _aCurves in the plane and in space -- How much does a curve curve? -- Global properties of curves -- Surfaces in three dimensions -- Examples of surfaces -- The first fundamental form -- Curvature of surfaces -- Gaussian, mean and principal curvatures -- Geodesics -- Gauss’ Theorema Egregium -- Hyperbolic geometry -- Minimal surfaces -- The Gauss–Bonnet theorem. | |
| 520 | _aCurves and surfaces are objects that everyone can see, and many of the questions that can be asked about them are natural and easily understood. Differential geometry is concerned with the precise mathematical formulation of some of these questions. It is a subject that contains some of the most beautiful and profound results in mathematics yet many of these are accessible to higher-level undergraduates. Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Prerequisites are kept to an absolute minimum – nothing beyond first courses in linear algebra and multivariable calculus – and the most direct and straightforward approach is used throughout. New features of this revised and expanded second edition include: a chapter on non-Euclidean geometry, a subject that is of great importance in the history of mathematics and crucial in many modern developments. The main results can be reached easily and quickly by making use of the results and techniques developed earlier in the book. Coverage of topics such as: parallel transport and its applications; map colouring; holonomy and Gaussian curvature. Around 200 additional exercises, and a full solutions manual for instructors, available via www.springer.com Praise for the first edition: "The text is nicely illustrated, the definitions are well-motivated and the proofs are particularly well-written and student-friendly…this book would make an excellent text for an undergraduate course, but could also well be used for a reading course, or simply read for pleasure." Australian Mathematical Society Gazette "Excellent figures supplement a good account, sprinkled with illustrative examples." Times Higher Education Supplement | ||
| 590 | _aPara consulta fuera de la UANL se requiere clave de acceso remoto. | ||
| 710 | 2 |
_aSpringerLink (Servicio en línea) _9299170 |
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| 776 | 0 | 8 |
_iEdición impresa: _z9781848828902 |
| 856 | 4 | 0 |
_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-1-84882-891-9 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL) |
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