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Translations of Mathematical Monographs
Iwanami Series in Modern Mathematics
2005; 129 pp; softcover
List Price: US$35
Member Price: US$28
Order Code: MMONO/227
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 method used 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.
Graduate students and research mathematicians interested in differential equations and special functions.
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