Tensor Calculus - Astronomy & Physics

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A Primer onTensor CalculusDavid A. ClarkeProfessor of Astronomy and PhysicsSaint Mary s University, Halifax NS, 2011Copyrightc David A. Clarke, 2011ContentsPrefaceii1 Introduction12 Definition of a tensor33 The Physical components and basis vectors. . . . . . . . . . . . . . . . . . . . . The scalar and inner products. . . . . . . . . . . . . . . . . . . . . . . . . . Invariance of Tensor expressions. . . . . . . . . . . . . . . . . . . . . . . . . The permutation tensors.

A Primeron Tensor Calculus 1 Introduction In physics, there is an overwhelming need to formulate the basic laws in a so-called invariant form; that is, one that does not …

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