000 01810nam a22002895i 4500
001 65372
005 20200122113936.0
010 _a978-1-4614-7732-7
_dcompra
090 _a65372
100 _a20150401d2013 k||y0pory50 ba
101 _aeng
102 _aUS
200 _aFirst steps in differential geometry
_bDocumento electrónico
_eriemannian, contact, symplectic
_fAndrew McInerney
210 _aNew York, NY
_cSpringer
_d2013
215 _aXIII, 410 p.
_cil.
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
680 _aQA641
700 _aMcInerney
_bAndrew
_939252
801 _aPT
_gRPC
856 _uhttp://dx.doi.org/10.1007/978-1-4614-7732-7
942 _2lcc
_cF
_n0