Introduction to Partial Differential Equations

Peter J. Olver

Last Updated:    November 22, 2013


Table of Contents


  1. What are Partial Differential Equations?
  2. Linear and Nonlinear Waves
  3. Fourier Series
  4. Separation of Variables
  5. Numerical Methods: Finite Differences
  6. Generalized Functions and Green's Functions
  7. Fourier Transforms
  8. Linear and Nonlinear Evolution Equations
  9. A General Framework for Linear Partial Differential Equations
  10. Numerical Methods: Finite Elements
  11. Dynamics of Planar Media
  12. Partial Differential Equations in Space


   A.   Complex Numbers
   B.   Linear Algebra