6760, Math 21a, Fall 2009
Exhibits page Math 21a 2009, Multivariable Calculus
A line integral
Course head: Oliver Knill
Office: SciCtr 434

To the interpretation of line integrals

If F(x,y,z) is the force field given by the wind distribution and r(t) is a path, the line integral is the work done on the field.

The movie clip to the right from "Octopussy" illustrates this well. The flag gives an indication of the wind direction and so of the vector field F. The hot air balloon of 007 does remarkable positive work.

Questions and comments to knill@math.harvard.edu
Math21b | Math 21a | Fall 2009 | Department of Mathematics | Faculty of Art and Sciences | Harvard University