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Peturbation Techniques in Mathematics, Engineering & Physics by Richard Ernest B

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eBay item number:396172466946
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Item specifics

Condition
New: A new, unread, unused book in perfect condition with no missing or damaged pages. See the ...
ISBN-13
9780486432588
Book Title
Peturbation Techniques in Mathematics, Engineering & Physics
ISBN
9780486432588

About this product

Product Identifiers

Publisher
Dover Publications, Incorporated
ISBN-10
0486432580
ISBN-13
9780486432588
eBay Product ID (ePID)
2478080

Product Key Features

Number of Pages
144 Pages
Publication Name
Perturbation Techniques in Mathematics, Engineering and Physics
Language
English
Publication Year
2003
Subject
Functional Analysis, Civil / General, Physics / General
Type
Textbook
Subject Area
Mathematics, Technology & Engineering, Science
Author
Richard Ernest Bellman
Series
Dover Books on Physics Ser.
Format
Trade Paperback

Dimensions

Item Height
0.3 in
Item Weight
5.4 Oz
Item Length
8.4 in
Item Width
6.4 in

Additional Product Features

Intended Audience
College Audience
LCCN
2003-046260
Dewey Edition
21
Illustrated
Yes
Dewey Decimal
515/.35
Edition Description
Annotated edition
Table Of Content
1. Classical Perturbation Techniques2. Periodic Solutions of Nonlinear Differential Equations and Renormalization Techniques3. The Liouville-WKB Approximation and Asymptotic Series Subject Index. Author Index
Synopsis
Graduate 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 Number
QA871.B44

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