Coverart for item
The Resource Advanced mathematical methods for scientists and engineers I : asymptotic methods and perturbation theory, Carl M. Bender, Steven A. Orszag

Advanced mathematical methods for scientists and engineers I : asymptotic methods and perturbation theory, Carl M. Bender, Steven A. Orszag

Label
Advanced mathematical methods for scientists and engineers I : asymptotic methods and perturbation theory
Title
Advanced mathematical methods for scientists and engineers I
Title remainder
asymptotic methods and perturbation theory
Statement of responsibility
Carl M. Bender, Steven A. Orszag
Creator
Contributor
Author
Subject
Language
eng
Summary
This book gives a clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. These methods allow one to analyze physics and engineering problems that may not be solvable in closed form and for which brute- force numerical methods may not converge to useful solutions. The presentation is aimed at teaching the insights that are most useful in approaching new problems; it avoids special methods and tricks that work only for particular problems, such as the traditional transcendental functions. Intended for graduate students and advanced undergraduates, the book assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations; develops local asymptotic methods for differential and difference equations; explains perturbation and summation theory; and concludes with a an exposition of global asymptotic methods, including boundary-layer theory, WKB theory, and multiple-scale analysis. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach the reader how an applied mathematician tackles problems. There are 190 computer- generated plots and tables comparing approximate and exact solutions; over 600 problems, of varying levels of difficulty; and an appendix summarizing the properties of special functions
Member of
Cataloging source
AU@
http://library.link/vocab/creatorDate
1943-
http://library.link/vocab/creatorName
Bender, Carl M.
Dewey number
  • 515/.35
  • 515
Index
no index present
Language note
English
LC call number
QA371
LC item number
.B46 1999
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Orszag, Steven A.
http://library.link/vocab/subjectName
  • Differential equations
  • Difference equations
  • Engineering mathematics
  • Science
  • Global analysis (Mathematics)
  • Mathematical physics
  • Mathematics
  • Difference equations
  • Differential equations
  • Engineering mathematics
  • Global analysis (Mathematics)
  • Mathematical physics
  • Mathematics
  • Science
Label
Advanced mathematical methods for scientists and engineers I : asymptotic methods and perturbation theory, Carl M. Bender, Steven A. Orszag
Instantiates
Publication
Copyright
Antecedent source
unknown
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- Ordinary Differential Equations -- Difference Equations -- Approximate Solution of Linear Differential Equations -- Approximate Solution of Nonlinear Equations -- Approximate Solution of Difference Equations -- Asymptotic Expansion of Integrals -- Perturbation Series -- Summation of Series -- Boundary Layer Theory -- WKB Theory -- Multiple Scales Analysis -- Appendix -- References -- Index
Control code
851704808
Dimensions
unknown
Extent
1 online resource (xiv, 593 pages)
File format
unknown
Form of item
online
Isbn
9781475730692
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4757-3069-2
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)851704808
Label
Advanced mathematical methods for scientists and engineers I : asymptotic methods and perturbation theory, Carl M. Bender, Steven A. Orszag
Publication
Copyright
Antecedent source
unknown
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- Ordinary Differential Equations -- Difference Equations -- Approximate Solution of Linear Differential Equations -- Approximate Solution of Nonlinear Equations -- Approximate Solution of Difference Equations -- Asymptotic Expansion of Integrals -- Perturbation Series -- Summation of Series -- Boundary Layer Theory -- WKB Theory -- Multiple Scales Analysis -- Appendix -- References -- Index
Control code
851704808
Dimensions
unknown
Extent
1 online resource (xiv, 593 pages)
File format
unknown
Form of item
online
Isbn
9781475730692
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4757-3069-2
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)851704808

Library Locations

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      37.955220 -91.772210
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