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Topics in Multivariate Calculus
In any undergraduate engineering curriculum, students are taught a large amount of calculus in their applied mathematics courses. But, there are gross non-uniformities of coverage, depth and rigour among different classrooms as well as different textbooks. Recapitulation of all that material is neither needed nor possible in the present text. However, there are a few very important concepts and ideas, in which any tolerance of confusion may inhibit the communication in further chapters. Such topics are briefly covered in this chapter, in conformity with the notation and style to be used in later ones.
Derivatives in Multi-Dimensional Spaces
For a scalar function f (x) of a vector variable x, the rate of change ...
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