000			01808nam a2200289Ia 4500
003			OSt
005			20240201163515.0
008			231229s9999 xx 000 0 und d
020			_a9781489990464
040			_cIISER BPR
041			_aEng
082			_a516.36 _bMCI _223rd
100			_aMcInerney, Andrew
245		0	_aFirst steps in differential geometry : _bRiemannian, contact, symplectic
250			_a1st ed.
260			_aNew York: _bSpringer Scieence, _cc2013.
300			_axiii, 410p. : _bill (col). ; _c23cm
440			_aUndergraduate Texts in Mathematics
520			_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. Also includes references and index. 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.
650			_aMathematics
650			_aGeometry
650			_aDifferential Geometry
942			_cBK _2ddc
942			_2ddc
947			_a5700.721330999999
948			_a0.22
999			_c3187 _d3187