Perturbation theory is a fascinating and fundamental topic in
mathematics and its applications to the natural and engineering
sciences. In this workbook, each explicit example is studied and methods
introduced, beginning without proof, a learning method very suitable for
singular perturbation problems. The text includes an extensive
discussion of timescales and apriori knowledge of the presence of
certain timescales. This comprehensive introduction to singular
perturbation covers a broad range of topics, includes odes' and pde's,
boundary value problems, and problems with initial values.