000			03501nam a22004095i 4500
710	2		_aSpringerLink (Online service) _9106996
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005			20230102113442.0
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008			181215s2019 gw a o |||| 0|eng d
020			_a9783030034122
024	7		_a10.1007/978-3-030-03412-2 _2doi
040			_bspa _dES-MaUEC _cES-MaUEC
050		4	_aQA433 _b2019 EB
100	1		_aIrgens, Fridtjov, _eautor _9671309 _d1935-
245	1	0	_aTensor Analysis _cby Fridtjov Irgens
264		1	_aCham _bSpringer International Publishing : _bImprint: Springer _c2019
300			_a1 recurso en línea (XXI, 385 páginas) _b115 ilustraciones
336			_2rdacontent _aTexto _btxt
337			_2rdamedia _aelectrónico _bc
338			_2rdacarrier _arecurso electrónico _bcr
347			_atext file _bPDF
490	0		_aEngineering (Springer-11647)
505	0		_aMathematical Foundation -- Dynamics -- Tensors -- Deformation Analysis -- Constitutive Equations -- General Coordinates in Euclidean Space E3 -- Elements of Continuum Mechanics in General Coordinates -- Surface Geometry. Tensors in Riemannian Space R2 -- Integral Theorems -- Tensor Analysis in n-Dimensional Space -- Appendix Problems with Solutions.
520	3		_aThis book presents tensors and tensor analysis as primary mathematical tools for engineering and engineering science students and researchers. The discussion is based on the concepts of vectors and vector analysis in three-dimensional Euclidean space, and although it takes the subject matter to an advanced level, the book starts with elementary geometrical vector algebra so that it is suitable as a first introduction to tensors and tensor analysis. Each chapter includes a number of problems for readers to solve, and solutions are provided in an Appendix at the end of the text. Chapter 1 introduces the necessary mathematical foundations for the chapters that follow, while Chapter 2 presents the equations of motions for bodies of continuous material. Chapter 3 offers a general definition of tensors and tensor fields in three-dimensional Euclidean space. Chapter 4 discusses a new family of tensors related to the deformation of continuous material. Chapter 5 then addresses constitutive equations for elastic materials and viscous fluids, which are presented as tensor equations relating the tensor concept of stress to the tensors describing deformation, rate of deformation and rotation. Chapter 6 investigates general coordinate systems in three-dimensional Euclidean space and Chapter 7 shows how the tensor equations discussed in chapters 4 and 5 are presented in general coordinates. Chapter 8 describes surface geometry in three-dimensional Euclidean space, Chapter 9 includes the most common integral theorems in two- and three-dimensional Euclidean space applied in continuum mechanics and mathematical physics.
650		7	_2embne _9139229 _aCálculo tensorial
650		7	_2embne _9671310 _aTensores (Álgebra)
650		7	_2embne _9139230 _aAnálisis vectorial
776	0	8	_iPrinted edition: _z9783030034115
776	0	8	_iPrinted edition: _z9783030034139
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-030-03412-2 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942			_2lcc _cLE
988			_aPrimersemestre_2019_Engineering
998			_aSI _cm _dz _feng _ggw _h0 _b11/2019 _eel _zSI