A Brief on Tensor Analysis (Undergraduate Texts in Mathematics)

ThisneweditionisintendedforthirdandfourthyearundergraduatesinEngineering,Physics,Mathematics,andtheAppliedSciences,andcanserveasaspringboardforfurtherworkinContinuumMechanicsorGeneralRelativity.Startingfromabasicknowledgeofcalculusandmatrixalgebra,togetherwithfundamentalideasfrommechanicsandgeometry,thetextgraduallydevelopsthetoolsforformulatingandmanipulatingthefieldequationsofContinuumMechanics.Themathematicsoftensoranalysisisintroducedinwell-separatedstages:theconceptofatensorasanoperator;therepresentationofatensorintermsofitsCartesiancomponents;thecomponentsofatensorrelativetoageneralbasis,tensornotation,andfinally,tensorcalculus.Thephysicalinterpretationandapplicationofvectorsandtensorsarestressedthroughout.Thoughconcise,thetextiswritteninaninformal,non-intimidatingstyleenhancedbyworked-outproblemsandameaningfulvarietyofexercises.Theneweditionincludesmoreexercises,especiallyattheendofchapterIV.Furthermore,theauthorhasappendedasectiononDifferentialGeometry,theessentialmathematicaltoolinthestudyofthe2-dimensionalstructuralshellsand4-dimensionalgeneralrelativity.Writtenfor:UndergraduateMathStudentsKeywords:*Analysis*Brief*Tensoranalysis