| Document Type
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BL
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| Record Number
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731681
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| Doc. No
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b551467
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| Main Entry
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William Paulsen.
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| Title & Author
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Asymptotic analysis and perturbation theory\ William Paulsen.
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| Publication Statement
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Boca Raton: CRC Press, 2014
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| ISBN
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1466515112
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: 1466515120
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: 9781466515116
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: 9781466515123
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| Contents
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Introduction to Asymptotics Basic DefinitionsLimits via Asymptotics Asymptotic Series Inverse Functions Dominant Balance Asymptotics of Integrals Integrating Taylor Series Repeated Integration by Parts Laplace's MethodReview of Complex NumbersMethod of Stationary Phase Method of Steepest DescentsSpeeding Up Convergence Shanks Transformation Richardson Extrapolation Euler Summation Borel Summation Continued Fractions Pade ApproximantsDifferential Equations Classification of Differential EquationsFirst Order EquationsTaylor Series Solutions Frobenius Method Asymptotic Series Solutions for Differential Equations Behavior for Irregular Singular Points Full Asymptotic Expansion Local Analysis of Inhomogeneous Equations Local Analysis for Nonlinear EquationsDifference Equations Classification of Difference EquationsFirst Order Linear EquationsAnalysis of Linear Difference EquationsThe Euler-Maclaurin FormulaTaylor-Like and Frobenius-Like Series ExpansionsPerturbation Theory Introduction to Perturbation Theory Regular Perturbation for Differential Equations Singular Perturbation for Differential Equations Asymptotic MatchingWKBJ Theory The Exponential Approximation Region of Validity Turning PointsMultiple-Scale Analysis Strained Coordinates Method (Poincare-Lindstedt) The Multiple-Scale Procedure Two-Variable Expansion Method Appendix: Guide to the Special Functions Answers to Odd-Numbered Problems Bibliography Index
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| Subject
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Differential equations -- Asymptotic theory -- Textbooks.
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| Subject
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Differential equations -- Asymptotic theory.
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| Subject
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Perturbation (Mathematics) -- Textbooks.
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| LC Classification
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QA871.W555 2014
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| Added Entry
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William Paulsen
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