1. Introduction
  2. Basic Material
  3. Approximation of Integrals
  4. Boundary Layer Behaviour
  5. Two-Point Boundary Layer Problems
  6. Nonlinear Boundary Value Problems
  7. Elliptic Boundary Value Problems
  8. Boundary Layers in Time
  9. Evolution Equations with Boundary Layers
  10. The Continuation Method
  11. Averaging and Timescales
  12. Advanced Averaging
  13. Averaging for Evolution Equations
  14. Wave Equations on Unbounded Domains
  15. Appendices

Springer, New York, published the book in June, 2005. Corrections and comments are welcome (email:; a selection of this material will be available as a pdf file Corrections and Comments .