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Algebraic Analysis of Singular Perturbation Theory

Takahiro Kawai Kyoto University, Kyoto, Japan
Yoshitsugu Takei , Kyoto, Japan
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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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AMS Member Price: $48.00 Click above image for expanded view 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.

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

• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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.

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
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.