LEADER 02959nam 22005535 450 001 9910763591803321 005 20231110101247.0 010 $a3-031-33953-3 024 7 $a10.1007/978-3-031-33953-0 035 $a(MiAaPQ)EBC30881017 035 $a(Au-PeEL)EBL30881017 035 $a(DE-He213)978-3-031-33953-0 035 $a(CKB)28817631200041 035 $a(EXLCZ)9928817631200041 100 $a20231110d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTensor Calculus and Differential Geometry for Engineers $eWith Solved Exercises /$fby Shahab Sahraee, Peter Wriggers 205 $a1st ed. 2023. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2023. 215 $a1 online resource (684 pages) 311 08$aPrint version: Sahraee, Shahab Tensor Calculus and Differential Geometry for Engineers Cham : Springer,c2023 9783031339523 327 $aAlgebra of Vectors -- Algebra of Tensors -- Algebra of Higher-Order Tensors -- Eigenvalues, Eigenvectors and Spectral Decompositions of Tensors -- Representation of Tensorial Variables in Curvilinear Coordinates -- Differentiation of Tensor Functions and Representation Theorems -- Gradient and Related Operators -- Integral Theorems and Differential Forms -- Differential Geometry of Surfaces and Curves. 330 $aThe book contains the basics of tensor algebra as well as a comprehensive description of tensor calculus, both in Cartesian and curvilinear coordinates. Some recent developments in representation theorems and differential forms are included. The last part of the book presents a detailed introduction to differential geometry of surfaces and curves which is based on tensor calculus. By solving numerous exercises, the reader is equipped to properly understand the theoretical background and derivations. Many solved problems are provided at the end of each chapter for in-depth learning. All derivations in this text are carried out line by line which will help the reader to understand the basic ideas. Each figure in the book includes descriptive text that corresponds with the theoretical derivations to facilitate rapid learning. 606 $aMechanics, Applied 606 $aGeometry 606 $aAlgebras, Linear 606 $aEngineering Mechanics 606 $aGeometry 606 $aLinear Algebra 615 0$aMechanics, Applied. 615 0$aGeometry. 615 0$aAlgebras, Linear. 615 14$aEngineering Mechanics. 615 24$aGeometry. 615 24$aLinear Algebra. 676 $a620.00151563 700 $aSahraee$b Shahab$01439017 701 $aWriggers$b Peter$0317476 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910763591803321 996 $aTensor Calculus and Differential Geometry for Engineers$93601262 997 $aUNINA