02510nam 2200589 a 450 991082126280332120240312101544.01-282-76387-39786612763878981-4313-99-8(CKB)2490000000001917(EBL)731049(OCoLC)696298097(SSID)ssj0000443199(PQKBManifestationID)12160109(PQKBTitleCode)TC0000443199(PQKBWorkID)10454782(PQKB)10630676(MiAaPQ)EBC731049(WSP)00001021(Au-PeEL)EBL731049(CaPaEBR)ebr10422203(CaONFJC)MIL276387(EXLCZ)99249000000000191720100819d2010 uy 0engur|n|---|||||txtccrTensor analysis with applications in mechanics[electronic resource] /Leonid P. Lebedev, Michael J. Cloud, Victor, A. Eremeyev[New ed.].Singapore ;Hackensack, N.J. World Scientificc20101 online resource (380 p.)Description based upon print version of record.981-4313-12-2 Includes bibliographical references (p. 355-357) and index.Foreword; Preface; Contents; Tensor Analysis; Applications in Mechanics; Appendix A Formulary; Appendix B Hints and Answers; Bibliography; IndexThe 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 manCalculus of tensorsCalculus of tensors.515.63Lebedev L. P1089225Cloud Michael J41158Eremeyev Victor A931240MiAaPQMiAaPQMiAaPQBOOK9910821262803321Tensor analysis with applications in mechanics3968578UNINA