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008 180915s2019 gw |||| o |||| 0|eng
010 _a 2019744492
020 _a9783319988061
024 7 _a10.1007/978-3-319-98806-1
_2doi
035 _a(DE-He213)978-3-319-98806-1
038 _aMSOHAIL
040 _aDLC
_beng
_epn
_erda
_cDLC
072 7 _aSCI096000
_2bisacsh
072 7 _aTGMD
_2bicssc
072 7 _aTGMD
_2thema
082 0 4 _a620.1
_223
_bITS
100 1 _aItskov, Mikhail.
_eauthor.
_930313
245 1 0 _aTensor Algebra and Tensor Analysis for Engineers :
_bWith Applications to Continuum Mechanics /
_cby Mikhail Itskov.
250 _a5th ed. 2019.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2019.
300 _a1 online resource (XIX, 300 pages 20 illustrations, 13 illustrations in color.)
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 _aThis is the fifth and revised edition of a well-received textbook that aims at bridging the gap between the engineering course of tensor algebra on the one hand and the mathematical course of classical linear algebra on the other hand. In accordance with the contemporary way of scientific publication, a modern absolute tensor notation is preferred throughout. The book provides a comprehensible exposition of the fundamental mathematical concepts of tensor calculus and enriches the presented material with many illustrative examples. As such, this new edition also discusses such modern topics of solid mechanics as electro- and magnetoelasticity. In addition, the book also includes advanced chapters dealing with recent developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics. Hence, this textbook addresses graduate students as well as scientists working in this field and in particular dealing with multi-physical problems. In each chapter numerous exercises are included, allowing for self-study and intense practice. Solutions to the exercises are also provided.
588 _aDescription based on publisher-supplied MARC data.
650 0 _aAlgebra.
_98509
650 0 _aDifferential geometry.
_930314
650 0 _aMatrix theory.
_930315
650 0 _aMechanics, Applied.
_913090
650 0 _aMechanics.
_910681
650 1 4 _aSolid Mechanics.
_0https://scigraph.springernature.com/ontologies/product-market-codes/T15010
_930212
650 2 4 _aClassical Mechanics.
_0https://scigraph.springernature.com/ontologies/product-market-codes/P21018
_930316
650 2 4 _aDifferential Geometry.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M21022
_930317
650 2 4 _aLinear and Multilinear Algebras, Matrix Theory.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M11094
_930318
776 0 8 _iPrint version:
_tTensor algebra and tensor analysis for engineers.
_z9783319988054
_w(DLC) 2018950962
776 0 8 _iPrinted edition:
_z9783030075361
776 0 8 _iPrinted edition:
_z9783319988054
776 0 8 _iPrinted edition:
_z9783319988078
830 0 _aMathematical Engineering,
_x2192-4732
_930319
856 4 0 _uhttps://hdl.loc.gov/loc.gdc/stacks.2019744492
_zAvailable onsite via Stacks
906 _a0
_bibc
_corigres
_du
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_gy-gencatlg
942 _2ddc
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