Algebraic Analysis of Singular Perturbation
Book Details
Format
Paperback / Softback
Book Series
Translations of Mathematical Monographs
ISBN-10
0821835475
ISBN-13
9780821835470
Publisher
American Mathematical Society
Imprint
American Mathematical Society
Country of Manufacture
US
Country of Publication
GB
Publication Date
Nov 30th, 2005
Weight
186 grams
Dimensions
14.20 x 24.60 x 1.00 cms
Product Classification:
Differential calculus & equationsDifferential calculus and equations
Ksh 8,100.00
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Describes the WKB (Wentzel-Kramers-Brillouin) method and its applications to the study of monodromy problems for Fuchsian differential equations and to the analysis of Painleve functions. This title is suitable for graduate students and researchers interested in differential equations and special functions.
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 Painleve functions. The volume is suitable for graduate students and researchers interested in differential equations and special functions.
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