User:Garrett.mitchener/Books/PDE solving tools

Functional analysis etc.

 * Key tools
 * Fundamental solution
 * Free boundary problem
 * Calculus of variations


 * Transform & series methods
 * Integral transform
 * Fourier transform
 * Laplace transform
 * Two-sided Laplace transform
 * Weierstrass transform
 * Hermite polynomials


 * Multivariable calculus
 * Orthogonal coordinates
 * Curvilinear coordinates
 * Tensors in curvilinear coordinates
 * Einstein notation
 * Green's theorem
 * Divergence theorem
 * Gradient theorem
 * Stokes' theorem
 * Exterior derivative
 * Hodge dual
 * Musical isomorphism