The Resource A first look at perturbation theory, James G. Simmonds, James E. Mann, (ebook)

A first look at perturbation theory, James G. Simmonds, James E. Mann, (ebook)

Label
A first look at perturbation theory
Title
A first look at perturbation theory
Statement of responsibility
James G. Simmonds, James E. Mann
Creator
Contributor
Subject
Genre
Language
eng
Summary
Undergraduates in engineering and the physical sciences receive a thorough introduction to perturbation theory in this useful and accessible text. Students discover methods for obtaining an approximate solution of a mathematical problem by exploiting the presence of a small, dimensionless parameter - the smaller the parameter, the more accurate the approximate solution. Knowledge of perturbation theory offers a twofold benefit: approximate solutions often reveal the exact solution's essential dependence on specified parameters; also, some problems resistant to numerical solutions may yield to perturbation methods. In fact, numerical and perturbation methods can be combined in a complementary way. The text opens with a well-defined treatment of finding the roots of polynomials whose coefficients contain a small parameter. Proceeding to differential equations, the authors explain many techniques for handling perturbations that reorder the equations or involve an unbounded independent variable. Two disparate practical problems that can be solved efficiently with perturbation methods conclude the volume. Written in an informal style that moves from specific examples to general principles, this elementary text emphasizes the "why" along with the "how"; prerequisites include a knowledge of one-variable calculus and ordinary differential equations. This newly revised second edition features an additional appendix concerning the approximate evaluation of integrals
Cataloging source
Midwest
http://library.link/vocab/creatorName
Simmonds, James G
Dewey number
515/.35
Index
no index present
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Mann, James E
  • hoopla digital
http://library.link/vocab/subjectName
  • Differential equations
  • Approximation theory
  • Perturbation (Mathematics)
Target audience
adult
Label
A first look at perturbation theory, James G. Simmonds, James E. Mann, (ebook)
Link
Instantiates
Publication
Color
multicolored
Dimensions
unknown
Extent
1 online resource
Form of item
  • online
  • electronic
Governing access note
Digital content provided by hoopla
Isbn
9780486315584
Isbn Type
(electronic bk.)
Publisher number
MWT11606795
Specific material designation
remote
Stock number
11606795
System control number
MWT11606795
System details
Mode of access: World Wide Web
Label
A first look at perturbation theory, James G. Simmonds, James E. Mann, (ebook)
Link
Publication
Color
multicolored
Dimensions
unknown
Extent
1 online resource
Form of item
  • online
  • electronic
Governing access note
Digital content provided by hoopla
Isbn
9780486315584
Isbn Type
(electronic bk.)
Publisher number
MWT11606795
Specific material designation
remote
Stock number
11606795
System control number
MWT11606795
System details
Mode of access: World Wide Web

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