Multiple scale and singular perturbation methods (Record no. 1400961)

MARC details
000 -LEADER
fixed length control field 02644cam a2200277 a 4500
001 - CONTROL NUMBER
control field 2562857
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20250603123706.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 951103s1996 nyua b 001 0 eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780387942025
040 ## - CATALOGING SOURCE
Original cataloging agency CSL
Transcribing agency CSL
041 ## - LANGUAGE CODE
Source of code eng
Language code of text/sound track or separate title eng
084 ## - COLON CLASSIFICATION NUMBER
Classification number B331 N6 NBHM
Assigning agency CSL
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Kevorkian, J.
Relator term author.
9 (RLIN) 784606
245 10 - TITLE STATEMENT
Title Multiple scale and singular perturbation methods
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. New York :
Name of publisher, distributor, etc. Springer,
Date of publication, distribution, etc. 1996.
300 ## - PHYSICAL DESCRIPTION
Extent viii, 632 p. :
Other physical details ill. ;
Dimensions 25 cm.
490 1# - SERIES STATEMENT
Series statement Applied mathematical sciences ;
Volume/sequential designation v. 114
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes bibliographical references and index.
520 ## - SUMMARY, ETC.
Summary, etc. This book is a revised and updated version, including a substantial portion of new material, of our text Perturbation Methods in Applied Mathematics (Springer­ Verlag, 1981). We present the material at a level that assumes some familiarity with the basics of ordinary and partial differential equations. Some of the more advanced ideas are reviewed as needed; therefore this book can serve as a text in either an advanced undergraduate course or a graduate-level course on the subject. Perturbation methods, first used by astronomers to predict the effects of small disturbances on the nominal motions of celestial bodies, have now become widely used analytical tools in virtually all branches of science. A problem lends itself to perturbation analysis if it is "close" to a simpler problem that can be solved exactly. Typically, this closeness is measured by the occurrence of a small dimensionless parameter, E, in the governing system (consisting of differential equations and boundary conditions) so that for E = 0 the resulting system is exactly solvable. The main mathematical tool used is asymptotic expansion with respect to a suitable asymptotic sequence of functions of E. In a regular perturbation problem, a straightforward procedure leads to a system of differential equations and boundary conditions for each term in the asymptotic expansion. This system can be solved recursively, and the accuracy of the result improves as E gets smaller, for all values of the independent variables throughout the domain of interest. We discuss regular perturbation problems in the first chapter.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Differential equations
General subdivision Numerical solutions.
9 (RLIN) 784607
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Differential equations
General subdivision Asymptotic theory.
9 (RLIN) 784608
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Perturbation (Mathematics)
9 (RLIN) 784609
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Cole, Julian D.
Relator term co- author.
9 (RLIN) 784610
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Applied mathematical sciences (Springer-Verlag New York Inc.) ;
Volume/sequential designation v. 114.
9 (RLIN) 784611
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Colon Classification (CC)
Suppress in OPAC No
Koha item type Textual
Classification part B331 N6 NBHM
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Date acquired Source of acquisition Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
    Colon Classification (CC)     Central Science Library Faculty of Mathematical Sciences Library 2025-01-06 New India Book Agency   B331 N6 NBHM SL1656203 2025-05-15 2025-05-15 Textual
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