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Algebraic Analysis of Singular Perturbation Theory
 
Takahiro Kawai Kyoto University, Kyoto, Japan
Yoshitsugu Takei , Kyoto, Japan
Front Cover for Algebraic Analysis of Singular Perturbation Theory
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Softcover ISBN: 978-0-8218-3547-0
Product Code: MMONO/227
List Price: $40.00
MAA Member Price: $36.00
AMS Member Price: $32.00
Electronic ISBN: 978-1-4704-4651-2
Product Code: MMONO/227.E
List Price: $37.00
MAA Member Price: $33.30
AMS Member Price: $29.60
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Front Cover for Algebraic Analysis of Singular Perturbation Theory
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  • Front Cover for Algebraic Analysis of Singular Perturbation Theory
  • Back Cover for Algebraic Analysis of Singular Perturbation Theory
Algebraic Analysis of Singular Perturbation Theory
Takahiro Kawai Kyoto University, Kyoto, Japan
Yoshitsugu Takei , Kyoto, Japan
Available Formats:
Softcover ISBN:  978-0-8218-3547-0
Product Code:  MMONO/227
List Price: $40.00
MAA Member Price: $36.00
AMS Member Price: $32.00
Electronic ISBN:  978-1-4704-4651-2
Product Code:  MMONO/227.E
List Price: $37.00
MAA Member Price: $33.30
AMS Member Price: $29.60
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $60.00
MAA Member Price: $54.00
AMS Member Price: $48.00
  • Book Details
     
     
    Translations of Mathematical Monographs
    Iwanami Series in Modern Mathematics
    Volume: 2272005; 129 pp
    MSC: Primary 34;

    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.

    Readership

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

  • Table of Contents
     
     
    • Chapters
    • Borel resummation
    • WKB analysis of Schrödinger equations
    • Applications of WKB analysis to global problems
    • WKB analysis of the Painlevé transcendants
    • Future directions and problems
    • Supplement
  • Request Review Copy
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Iwanami Series in Modern Mathematics
Volume: 2272005; 129 pp
MSC: Primary 34;

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.

Readership

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

  • Chapters
  • Borel resummation
  • WKB analysis of Schrödinger equations
  • Applications of WKB analysis to global problems
  • WKB analysis of the Painlevé transcendants
  • Future directions and problems
  • Supplement
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