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Dover Books on Physics Ser.: Perturbation Techniques in Mathematics, Engineering and Physics by Richard Ernest Bellman (2003, Trade Paperback)
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About this product
Product Identifiers
PublisherDover Publications, Incorporated
ISBN-100486432580
ISBN-139780486432588
eBay Product ID (ePID)2478080
Product Key Features
Number of Pages144 Pages
Publication NamePerturbation Techniques in Mathematics, Engineering and Physics
LanguageEnglish
Publication Year2003
SubjectFunctional Analysis, Civil / General, Physics / General
TypeTextbook
Subject AreaMathematics, Technology & Engineering, Science
AuthorRichard Ernest Bellman
SeriesDover Books on Physics Ser.
FormatTrade Paperback
Dimensions
Item Height0.3 in
Item Weight5.4 Oz
Item Length8.4 in
Item Width6.4 in
Additional Product Features
Intended AudienceCollege Audience
LCCN2003-046260
Dewey Edition21
IllustratedYes
Dewey Decimal515/.35
Edition DescriptionAnnotated edition
Table Of Content1. Classical Perturbation Techniques2. Periodic Solutions of Nonlinear Differential Equations and Renormalization Techniques3. The Liouville-WKB Approximation and Asymptotic Series Subject Index. Author Index
SynopsisGraduate students receive a stimulating introduction to analytical approximation techniques for solving differential equations in this text, which introduces scientifically significant problems and indicates useful solutions. 1966 edition., An introduction to a variety of perturbation techniques for ordinary differential equations, this work outlines applications through specific examples. Mathematicians, engineers, and applied scientists will find its exposition entirely accessible. The first part covers the classical perturbation techniques. Dr. Bellman begins with a readily solved linear algebraic equation that exhibits some of the versatility of the Lagrange expansion theorem. This leads by easy stages to a discussion of the matrix exponential and to a brief excursion into the domain of Poincar and Lyapunov, where invariant imbedding is illustrated. Subsequent discussions of alternative perturbation techniques employ dynamic programming. The second chapter concentrates on nonlinear differential equations, presenting renormalization techniques of Lindstedt and Shohat and averaging techniques by Bellman and Richardson. The concluding chapter considers a variety of questions centering on a second-order linear differential equation, explaining the applications of the WKB-Liouville method and asymptotic series. Exercises, comments, and an annotated bibliography follow each demonstration of technique. The text presupposes a course in intermediate calculus and rudiments of the theory of ordinary differential equations. For the engineer, physicist, or mathematician working in fields requiring the solution of differential equations, this text provides a stimulating introduction to analytical approximation techniques., Graduate students receive a stimulating introduction to analytical approximation techniques for solving differential equations in this text, which introduces a series of interesting and scientifically significant problems, indicates useful solutions, and supplies a guide to further reading. Intermediate calculus and basic grasp of ordinary differential equations are prerequisites. 1966 edition.
LC Classification NumberQA871.B44
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