Line Integrals and Potentials
DOWNLOAD FREE
|
Exact differential forms
Equations are omitted for technical reasons - download the original pdf
The differentiable form [Equation goes here - download the original pdf to see it.] is called exact in a domain D if it is the differential [Equation goes here - download the original pdf to see it.]of a differentiable function [Equation goes here - download the original pdf to see it.] in D. That is to say Equation goes here - download the original pdf to see it.] or [Equation goes here - download the original pdf to see it.]
|
Contents of Line Integrals and Potentials
1 Line integrals that are independent of path 2 Curve of integration 3 Line integrals 4 Potentials 5 Proof of the theorem 6 The line integral depends on path 7 Potentials and integration around a closed curve 8 The line integral does not depend on the parameter 9 Conservative scalar fields 10 Work integral 11 Work done is equal to gain in kinetic energy 12 Exact differential forms 13 Simply connected domains 14 Exactness and independence of path
|