000			03310nam a22004335i 4500
001			978-0-387-69469-6
003			DE-He213
005			20161121231040.0
007			cr nn 008mamaa
008			100301s2007 xxu| s |||| 0|eng d
020			_a9780387694696 _9978-0-387-69469-6
024	7		_a10.1007/978-0-387-69469-6 _2doi
050		4	_aQC19.2-20.85
072		7	_aPHU _2bicssc
072		7	_aSCI040000 _2bisacsh
082	0	4	_a530.1 _223
245	1	0	_aTensors _h[electronic resource] : _bThe Mathematics of Relativity Theory and Continuum Mechanics / _cedited by Anadijiban Das.
264		1	_aNew York, NY : _bSpringer New York, _c2007.
300			_aXII, 290 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aFinite- Dimensional Vector Spaces and Linear Mappings -- Fields -- Finite-Dimensional Vector Spaces -- Linear Mappings of a Vector Space -- Dual or Covariant Vector Space -- Tensor Algebra -- The Second Order Tensors -- Higher Order Tensors -- Exterior or Grassmann Algebra -- Inner Product Vector Spaces and the Metric Tensor -- Tensor Analysis on a Differentiable Manifold -- Differentiable Manifolds -- Vectors and Curves -- Tensor Fields over Differentiable Manifolds -- Differential Forms and Exterior Derivatives -- Differentiable Manifolds with Connections -- The Affine Connection and Covariant Derivative -- Covariant Derivatives of Tensors along a Curve -- Lie Bracket, Torsion, and Curvature Tensor -- Riemannian and Pseudo-Riemannian Manifolds -- Metric, Christoffel, Ricci Rotation -- Covariant Derivatives -- Curves, Frenet-Serret Formulas, and Geodesics -- Special Coordinate Charts -- Speical Riemannian and Pseudo-Riemannian Manifolds -- Flat Manifolds -- The Space of Constant Curvature -- Extrinsic Curvature.
520			_a Tensors: The Mathematics of Relativity Theory and Continuum Mechanics, by Anadijiban Das, emerged from courses taught over the years at the University College of Dublin, Carnegie-Mellon University and Simon Fraser University. This book will serve readers well as a modern introduction to the theories of tensor algebra and tensor analysis. Throughout Tensors, examples and worked-out problems are furnished from the theory of relativity and continuum mechanics. Topics covered in this book include, but are not limited to: -tensor algebra -differential manifold -tensor analysis -differential forms -connection forms -curvature tensors -Riemannian and pseudo-Riemannian manifolds The extensive presentation of the mathematical tools, examples and problems make the book a unique text for the pursuit of both the mathematical relativity theory and continuum mechanics.
650		0	_aPhysics.
650		0	_aHuman physiology.
650	1	4	_aPhysics.
650	2	4	_aTheoretical, Mathematical and Computational Physics.
650	2	4	_aMathematical Methods in Physics.
650	2	4	_aHuman Physiology.
700	1		_aDas, Anadijiban. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387694689
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-69469-6
912			_aZDB-2-PHA
950			_aPhysics and Astronomy (Springer-11651)
999			_c507783 _d507783