The so-called ‘vector calculus’ is not a separate calculus at all, but a particular notation for the calculus of three variables. Many physical quantities, notably force fields, flows, and gradients, are naturally imagined as vector fields, that is, as sets of arrows in xyz-space, one arrow to describe the quantity (of force, flow, or gradient) at each point of space.
KeywordsHarmonic Function Complex Number Lorentz Transformation Implicit Function Theorem Homology Theory
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