LEADER 02551nam 2200601 a 450 001 9910456186503321 005 20200520144314.0 010 $a1-282-76387-3 010 $a9786612763878 010 $a981-4313-99-8 035 $a(CKB)2490000000001917 035 $a(EBL)731049 035 $a(OCoLC)696298097 035 $a(SSID)ssj0000443199 035 $a(PQKBManifestationID)12160109 035 $a(PQKBTitleCode)TC0000443199 035 $a(PQKBWorkID)10454782 035 $a(PQKB)10630676 035 $a(MiAaPQ)EBC731049 035 $a(WSP)00001021 035 $a(Au-PeEL)EBL731049 035 $a(CaPaEBR)ebr10422203 035 $a(CaONFJC)MIL276387 035 $a(EXLCZ)992490000000001917 100 $a20100819d2010 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aTensor analysis with applications in mechanics$b[electronic resource] /$fLeonid P. Lebedev, Michael J. Cloud, Victor, A. Eremeyev 205 $a[New ed.]. 210 $aSingapore ;$aHackensack, N.J. $cWorld Scientific$dc2010 215 $a1 online resource (380 p.) 300 $aDescription based upon print version of record. 311 $a981-4313-12-2 320 $aIncludes bibliographical references (p. 355-357) and index. 327 $aForeword; Preface; Contents; Tensor Analysis; Applications in Mechanics; Appendix A Formulary; Appendix B Hints and Answers; Bibliography; Index 330 $aThe tensorial nature of a quantity permits us to formulate transformation rules for its components under a change of basis. These rules are relatively simple and easily grasped by any engineering student familiar with matrix operators in linear algebra. More complex problems arise when one considers the tensor fields that describe continuum bodies. In this case general curvilinear coordinates become necessary. The principal basis of a curvilinear system is constructed as a set of vectors tangent to the coordinate lines. Another basis, called the dual basis, is also constructed in a special man 606 $aCalculus of tensors 608 $aElectronic books. 615 0$aCalculus of tensors. 676 $a515.63 700 $aLebedev$b L. P$0848913 701 $aCloud$b Michael J$041158 701 $aEremeyev$b Victor A$0931240 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910456186503321 996 $aTensor analysis with applications in mechanics$92094884 997 $aUNINA