000 | 01810nam a22002895i 4500 | ||
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001 | 65372 | ||
005 | 20200122113936.0 | ||
010 |
_a978-1-4614-7732-7 _dcompra |
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090 | _a65372 | ||
100 | _a20150401d2013 k||y0pory50 ba | ||
101 | _aeng | ||
102 | _aUS | ||
200 |
_aFirst steps in differential geometry _bDocumento electrónico _eriemannian, contact, symplectic _fAndrew McInerney |
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210 |
_aNew York, NY _cSpringer _d2013 |
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215 |
_aXIII, 410 p. _cil. |
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225 | _aUndergraduate Texts in Mathematics | ||
300 | _aColocação: Online | ||
303 | _aDifferential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors. Today it is possible to describe differential geometry as "the study of structures on the tangent space," and this text develops this point of view. This book, unlike other introductory texts in differential geometry, develops the architecture necessary to introduce symplectic and contact geometry alongside its Riemannian cousin. The main goal of this book is to bring the undergraduate student who already has a solid foundation in the standard mathematics curriculum into contact with the beauty of higher mathematics. In particular, the presentation here emphasizes the consequences of a definition and the careful use of examples and constructions in order to explore those consequences. | ||
606 |
_929112 _aGeometria diferencial |
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680 | _aQA641 | ||
700 |
_aMcInerney _bAndrew _939252 |
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801 |
_aPT _gRPC |
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856 | _uhttp://dx.doi.org/10.1007/978-1-4614-7732-7 | ||
942 |
_2lcc _cF _n0 |