000 03145nam a22005415i 4500
001 978-3-642-30879-6
003 DE-He213
005 20140220082849.0
007 cr nn 008mamaa
008 120813s2013 gw | s |||| 0|eng d
020 _a9783642308796
_9978-3-642-30879-6
024 7 _a10.1007/978-3-642-30879-6
_2doi
050 4 _aTA405-409.3
050 4 _aQA808.2
072 7 _aTG
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aTEC021000
_2bisacsh
082 0 4 _a620.1
_223
100 1 _aItskov, Mikhail.
_eauthor.
245 1 0 _aTensor Algebra and Tensor Analysis for Engineers
_h[electronic resource] :
_bWith Applications to Continuum Mechanics /
_cby Mikhail Itskov.
250 _a3rd ed. 2013.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2013.
300 _aXV, 269 p. 17 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMathematical Engineering,
_x2192-4732
505 0 _aVectors and Tensors in a Finite-Dimensional Space -- Vector and Tensor Analysis in Euclidean Space -- Curves and Surfaces in Three-Dimensional Euclidean Space -- Eigenvalue Problem and Spectral Decomposition of Second-Order Tensors -- Fourth-Order Tensors -- Analysis of Tensor Functions -- Analytic Tensor Functions -- Applications to Continuum Mechanics.
520 _aThere is a large gap between the engineering course in tensor algebra on the one hand and the treatment of linear transformations within classical linear algebra on the other hand. The aim of this modern textbook is to bridge this gap by means of the consequent and fundamental exposition. The book primarily addresses engineering students with some initial knowledge of matrix algebra. Thereby the mathematical formalism is applied as far as it is absolutely necessary. Numerous exercises are provided in the book and are accompanied by solutions, enabling self-study. The last chapters of the book deal with modern developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics and are therefore of high interest for PhD-students and scientists working in this area. This third edition is completed by a number of additional figures, examples and exercises. The text and formulae have been revised and improved where necessary.
650 0 _aEngineering.
650 0 _aMatrix theory.
650 0 _aGlobal differential geometry.
650 0 _aMechanics.
650 0 _aMaterials.
650 1 4 _aEngineering.
650 2 4 _aContinuum Mechanics and Mechanics of Materials.
650 2 4 _aDifferential Geometry.
650 2 4 _aMechanics.
650 2 4 _aLinear and Multilinear Algebras, Matrix Theory.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642308789
830 0 _aMathematical Engineering,
_x2192-4732
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-30879-6
912 _aZDB-2-ENG
999 _c97037
_d97037