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...Chapter vector calculus hhttp youtu be qavmucxgti in this we study on fields addition define and scalar functions as real valued space specially line integrals along a curve surface across the connections among these concepts are given by green s theorem stokes divergence transforms to double vice versa states that circulation of field around boundary equals integral normal component curl over gauss says outward flux closed is equal triple region enclosed will also look at some applications three important theorems differentiation http associated with every point can imagine both direction magnitude about gravitational force velocity flowing fluid they expressed each their which producing definition let subset or function assigns any usual for example defined f two dimensional best way understand draw arrows vectors few representative points since may write it follows i j where variables unit coordinate axes called plot dimensions aid computer large number gives better impression than ...