TENSOR ANALYSIS

The following sections are included:

• NOTATION AND SUMMATION CONVENTION

• COORDINATE TRANSFORMATION

• EUCLIDEAN METRIC TENSOR

• SCALARS, CONTRAVARIANT VECTORS, COVARIANT VECTORS

• TENSOR FIELDS OF HIGHER RANK

• SOME IMPORTANT SPECIAL TENSORS

• THE SIGNIFICANCE OF TENSOR CHARACTERISTICS

• RECTANGULAR CARTESIAN TENSORS

• CONTRACTION

• QUOTIENT RULE

• PARTIAL DERIVATIVES IN CARTESIAN COORDINATES

• COVARIANT DIFFERENTIATION OF VECTOR FIELDS

• TENSOR EQUATIONS

• GEOMETRIC INTERPRETATION OF TENSOR COMPONENTS

• GEOMETRIC INTERPRETATION OF COVARIANT DERIVATIVES

• PHYSICAL COMPONENTS OF A VECTOR