Applied Asymptotic Analysis
Applied Asymptotic Analysis, volume 75 of the Graduate Studies in Mathematics series published by the American Mathematical Society, is a textbook
intended for graduate students or advanced undergraduate students. It was originally developed as a text for the course Math 557, Methods of Applied Mathematics II: Asymptotic Analysis, which is part of the "core" of the Applied and Interdisciplinary Mathematics (AIM) graduate program at the University of Michigan.
Update Log
Here is a current list of corrections to the text.
- Chapter 6, Section 6.3.3 (Another approach to the existence of true solutions and the Stokes phenomenon. Borel summation), page 248. In the last paragraph the convergence condition |t|<80/121 should read instead |t|<320/621.
- Chapter 10, Section 10.3.2 (Derivation of the Korteweg-de Vries equation), pages 446-447 A term has been
omitted from equation (10.89). Equation (10.89) should instead read as
Making this correction, one finds that the final term on the left-hand side of each of equations (10.90) and (10.91) should be doubled. Thus, the final two equations in this section should read, respectively
and
Of course the factor of 3/2 could easily be absorbed by simply rescaling F.