목차정보
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VECTORS AND SCALARS mAGNTUDE,LINEAR DEPENDENCE AND BASE VECTORS THE SCALAR PRODUCT AND THE VECTOR PRODUCT ORDINARY DERIVATIVES OF VECTORS APPLICATIONS OF ORDINARY DERIVATIVES OF VECTORS IN DIFFERENTIAL GEOMETRY AND MECHANICS DIFFERENTIAL CALCULUS OF FUNCTIONS OF SEVERAL VARIABLES PARTIAL DIFFERENTIATION OF VECTORS,GRADIENT AND DIVERGENCE CURL OF A VECTOR FIELD ELEMENTS OF LINEAR ALGEBRA TENSOR NOTATION APPLICATIONS OF GRADIENT,DIVERGENCE AND CURL IN PHYSICS ORDINARY INTEGRALS OF VECTORS AND LINE INTEGRALS DOUBLE INTEGRALS SURGACE INTEGRALS OF VECTORS,FLUX SURFACE INTEGRALS AND FLUX IN PHYSICAL APPLICATIONS VOLUME INTEGRALS GREEN'S THEOREM IN THE PLANE CONSERVATIVE VECTOR FIELDS DIVERGENCE THEOREM STOKES' THEOREM CYLINDRICAL AND SPHERICAL COORDINATES11 CURVILINEAR COORDINATES22 ADVANCED TOPICS33 LINAR ORTHOGONAL TRANSFORMATIONS44 TRANSPEORT TEOREM55 DIFFERENTIAL FORMS66 EXTERIOR DERIVATIVE77 |