What people are saying - Write a review
We haven't found any reviews in the usual places.
Science and math experience Using the gradient for maximization and min
Mathematics Vector fields as fluid flow Trajectories in vector fields as the path
Mathematics Path integrals line integrals as measurements of the net flow
5 other sections not shown
Other editions - View all
2D integral 3D vector field Answer area conversion factor AspectRatio->Automatic boundary curve calculate centered chain rule Clear[Field,m,n,x,y Clear[t clockwise closed curve Cos[s Cos[t counterclockwise cross product curlField curlField[x curveplot D[f x,y direction DisplayFunction->$DisplayFunction DisplayFunction->Identity divField[x dot product dx dy dz electronic version ellipse everything inside field vectors Field[.r Field[x_,y_ Field[x_,y_,z_ Field[x,y,z finger flow of Field[x fluid folks force field function f[x,y given vector field gradf gradient field gradx[u_,v_ Here's a vector jump,jump Laplacian level curve Mathematica measure the flow measure the volume n[x_,y_ normal vector parallelogram parameterization ParametricPlot3D ParametricPlot3D[Evaluate path integral perpendicular plane points x,y problem appears rectangle rotField[x Rxyz scalefactor Sin[s Sin[t Sin[x Sin[y sinks skin solid region spherical coordinates Stokes's formula surface Table[Arrow[scalefactor tail tangent vectors tangential components tells thigh three dimensions tlow tlow,thigh topunitnormal trajectories unit vector unittan ds uv-paper vector field Field[x,y x[t_ xo,yo xy-paper y[t_ y[u_,v_