Abstract:In a continuation of vectorVector(s)and tensor calculus and tensor calculus, this chapter mainly studies the actions of gradient , divergence and curl operators on vectors and tensors. Needless to say...In a continuation of vectorVector(s)and tensor calculus and tensor calculus, this chapter mainly studies the actions of gradient , divergence and curl operators on vectors and tensors. Needless to say that these differential operators are the workhorses of vector and tensor analysisVector(s)and tensor analysis. Recall that Chap. 6 dealt with the gradients of tensor functions which were non-constant tensorial variables. Here, any tensorial variable is assumed to be a function of position (and possibly time). Functions depending on space and timeTime are ubiquitous in science and engineering. Examples of which include electric field in electromagnetismElectromagnetism and velocityVelocity field in continuum mechanicsContinuum mechanics.Read More
Publication Year: 2023
Publication Date: 2023-01-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
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