Vector Calculus

Traditionally，linearalgebra，vectoranalysis，andthecalculusoffunctionsofseveralvariablesaretaughtasseparatesubjects.Thistextexplorestheircloserelationshipandestablishestheunderlyinglinks.Arigorousandcomprehensiveintroductorytreatment，itfeaturesclear，readableproofsthatillustratetheclassicaltheoremsofvectorcalculus，includingtheinverseandimplicitfunctiontheorems.Prerequisitesincludeaknowledgeofelementarylinearalgebraandone-variablecalculus.
StartingwithbasiclinearalgebraandconcludingwiththeintegrationtheoremsofGreen，Stokes，andGauss，thetextpaysparticularattentiontotherelationshipsbetweendifferentparametrizationsofcurvesandsurfaces，anditsurveystheirapplicationinlineandsurfaceintegrals.Conceptsareamplyillustratedwithfigures，workedexamples，andphysicalapplications.Numerousexercises，withhintsandanswers，rangefromroutinecalculationstotheoreticalproblems.，