Translations of Mathematical Monographs Iwanami Series in Modern Mathematics 2005; 129 pp; softcover Volume: 227 ISBN10: 0821835475 ISBN13: 9780821835470 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 socalled WKB (WentzelKramersBrillouin) method, originally invented for the study of quantummechanical 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. Readership Graduate students and research mathematicians interested in differential equations and special functions. Table of Contents  Borel resummation
 WKB analysis of Schrödinger equations
 Applications of WKB analysis to global problems
 WKB analysis of the Painlevé function
 Future directions and projects
 Appendix
 Bibliography
 Index
