**Translations of Mathematical Monographs
Iwanami Series in Modern Mathematics**

2005; 129 pp; Softcover

MSC: Primary 34;

**Print ISBN: 978-0-8218-3547-0**

Product Code: MMONO/227

Product Code: MMONO/227

List Price: $37.00

Individual Member Price: $29.60

#### Supplemental Materials

# Algebraic Analysis of Singular Perturbation Theory

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*Takahiro Kawai; Yoshitsugu Takei*

The topic of this book is the study of singular perturbations of ordinary differential equations, i.e., perturbations that represent solutions as asymptotic series rather than as analytic functions in a perturbation parameter. The main approach used by the authors is the so-called WKB (Wentzel–Kramers–Brillouin) method, originally invented for the study of quantum-mechanical systems. The authors describe in detail the WKB method and its applications to the study of monodromy problems for Fuchsian differential equations and to the analysis of Painlevé functions. The volume is suitable for graduate students and researchers interested in differential equations and special functions.

#### Table of Contents

# Table of Contents

## Algebraic Analysis of Singular Perturbation Theory

#### Readership

Graduate students and research mathematicians interested in differential equations and special functions.