MATH 538
Techniques of Applied Mathematics
Winter 2010
Topics
- Asymptotic series and integrals
- Perturbation theory
- Asymptotic matching
- Perturbative eigenvalue problems
- Boundary layers
- WKB theory
- Multiple scales
Readings
- C. Bender and S. Orszag. Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory. Springer 1999 / McGraw-Hill 1978.ISBN 0-387-98931-5
- N. Bleinstein and R. A. Handelman. Asymptotic Expansion of Integrals. Holt, Reinhard & Winston, 1975 (as listed).
- N. G. de Bruijn. Asymptotic Methods in Analysis. Dover, 1981.
- A. Erdélyi. Asymptotic Expansions. Dover, 1956.
- F. W. J. Olver. Asymptotics and Special Functions. Academic Press, 1974.