MARC Record from marc_columbia

LEADER: 02871pam a22003014a 4500
001 4126326
005 20221027042152.0
008 030404t20032003njua b 001 0 eng
010 $a 2003050151
020 $a9812383603
035 $a(OCoLC)ocm52047433
035 $a(NNC)4126326
035 $a4126326
040 $aDLC$cDLC$dYDX$dOrLoB-B
042 $apcc
050 00 $aQA433$b.L345 2003
082 00 $a515/.63$221
100 1 $aLebedev, L. P.$0http://id.loc.gov/authorities/names/n95106474
245 10 $aTensor analysis /$cLeonid P. Lebedev, Michael J. Cloud.
260 $aRiver Edge, NJ :$bWorld Scientific Pub.,$c[2003], ©2003.
300 $ax, 191 pages :$billustrations ;$c24 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
504 $aIncludes bibliographical references (p. 187) and index.
505 00 $g1.$tPreliminaries -- $g1.1.$tThe Vector Concept Revisited -- $g1.2.$tA First Look at Tensors -- $g1.3.$tAssumed Background -- $g1.4.$tMore on the Notion of a Vector -- $g2.$tTransformations and Vectors -- $g2.1.$tChange of Basis -- $g2.2.$tDual Bases -- $g2.3.$tTransformation to the Reciprocal Frame -- $g2.4.$tTransformation Between General Frames -- $g2.5.$tCovariant and Contravariant Components -- $g2.6.$tThe Cross Product in Index Notation -- $g3.$tTensors -- $g3.1.$tDyadic Quantities and Tensors -- $g3.2.$tTensors from an Operator Viewpoint -- $g3.3.$tDyadic Components Under Transformation -- $g3.4.$tMore Dyadic Operations -- $g3.5.$tProperties of Second Rank Tensors -- $g3.6.$tExtending the Dyad Idea -- $g3.7.$tTensors of the Fourth and Higher Ranks -- $g4.$tTensor Fields -- $g4.1.$tVector Fields -- $g4.2.$tDifferentials and the Nabla Operator -- $g4.3.$tDifferentiation of a Vector Function -- $g4.4.$tDerivatives of the Frame Vectors -- $g4.5.$tChristoffel Coefficients and their Properties -- $g4.6.$tCovariant Differentiation -- $g4.7.$tCovariant Derivative of a Second Rank Tensor -- $g4.8.$tDifferential Operations -- $g4.9.$tOrthogonal Coordinate Systems -- $g4.10.$tSome Formulas of Integration -- $g4.11.$tNorms on Spaces of Vectors and Tensors -- $g5.$tElements of Differential Geometry -- $g5.1.$tElementary Facts from the Theory of Curves -- $g5.2.$tThe Torsion of a Curve -- $g5.3.$tSerret-Frenet Equations -- $g5.4.$tElements of the Theory of Surfaces -- $g5.5.$tThe Second Fundamental Form of a Surface -- $g5.6.$tDerivation Formulas -- $g5.7.$tImplicit Representation of a Curve; Contact of Curves -- $g5.8.$tOsculating Paraboloid -- $g5.9.$tThe Principal Curvatures of a Surface -- $g5.10.$tSurfaces of Revolution -- $g5.11.$tNatural Equations of a Curve -- $g5.12.$tA Word About Rigor.
650 0 $aCalculus of tensors.$0http://id.loc.gov/authorities/subjects/sh85018808
700 1 $aCloud, Michael J.$0http://id.loc.gov/authorities/names/n97111804
852 00 $boff,eng$hQA433$i.L345 2003