000			02943nam a22004695i 4500
001			978-0-8176-8271-2
003			DE-He213
005			20251006084440.0
007			cr nn 008mamaa
008			111007s2012 xxu| s |||| 0|eng d
020			_a9780817682712
020			_a99780817682712
024	7		_a10.1007/978-0-8176-8271-2 _2doi
082	0	4	_a514.34 _223
100	1		_aTorres del Castillo, Gerardo F. _eauthor.
245	1	0	_aDifferentiable Manifolds _h[electronic resource] : _bA Theoretical Physics Approach / _cby Gerardo F. Torres del Castillo.
264		1	_aBoston : _bBirkhäuser Boston, _c2012.
300			_aVIII, 275p. 20 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aPreface.-1 Manifolds.-  2 Lie Derivatives -- 3 Differential Forms -- 4 Integral Manifolds -- 5 Connections -- 6. Riemannian Manifolds -- 7 Lie Groups -- 8 Hamiltonian Classical Mechanics -- References.-Index.
520			_aThis textbook gives a concise introduction to the theory of differentiable manifolds, focusing on their applications to differential equations, differential geometry, and Hamiltonian mechanics. The work's first three chapters introduce the basic concepts of the theory, such as differentiable maps, tangent vectors, vector and tensor fields, differential forms, local one-parameter groups of diffeomorphisms, and Lie derivatives. These tools are subsequently employed in the study of differential equations (Chapter 4), connections (Chapter 5), Riemannian manifolds (Chapter 6), Lie groups (Chapter 7), and Hamiltonian mechanics (Chapter 8). Throughout, the book contains examples, worked out in detail, as well as exercises intended to show how the formalism is applied to actual computations and to emphasize the connections among various areas of mathematics. Differentiable Manifolds is addressed to advanced undergraduate or beginning graduate students in mathematics or physics. Prerequisites include multivariable calculus, linear algebra, differential equations, and (for the last chapter) a basic knowledge of analytical mechanics.
650		0	_aMATHEMATICS.
650		0	_aTOPOLOGICAL GROUPS.
650		0	_aCELL AGGREGATION _xMATHEMATICS.
650		0	_aMATHEMATICAL PHYSICS.
650		0	_aMECHANICS.
650	1	4	_aMATHEMATICS.
650	2	4	_aMANIFOLDS AND CELL COMPLEXES (INCL. DIFF.TOPOLOGY).
650	2	4	_aMECHANICS.
650	2	4	_aMATHEMATICAL METHODS IN PHYSICS.
650	2	4	_aTOPOLOGICAL GROUPS, LIE GROUPS.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817682705
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-8176-8271-2 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59868 _d59868