Introduction to Partial Differential Equations

Peter J. Olver

Last Updated:    February 17, 2012

Table of Contents

Chapters

  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. Complex Analysis and Conformal Mappings
  8. Fourier Transforms
  9. Linear and Nonlinear Evolution Equations
  10. A General Framework for Linear Partial Differential Equations
  11. Numerical Methods: Finite Elements
  12. Dynamics of Planar Media
  13. Partial Differential Equations in Space

Appendices

   A.   Complex Numbers
   B.   Linear Algebra

References