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
Resource Information
The item Advanced mathematical methods for scientists and engineers I : asymptotic methods and perturbation theory, Carl M. Bender, Steven A. Orszag represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Missouri University of Science & Technology Library.This item is available to borrow from 1 library branch.
Resource Information
The item Advanced mathematical methods for scientists and engineers I : asymptotic methods and perturbation theory, Carl M. Bender, Steven A. Orszag represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Missouri University of Science & Technology Library.
This item is available to borrow from 1 library branch.
 Summary
 This book gives a clear, practical and selfcontained 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 boundarylayer theory, WKB theory, and multiplescale analysis. Emphasizing applications, the discussion stresses care rather than rigor and relies on many wellchosen 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
 Language
 eng
 Extent
 1 online resource (xiv, 593 pages)
 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
 Isbn
 9781475730692
 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
 Subject

 Differential equations  Numerical solutions
 Differential equations  Numerical solutions
 Engineering mathematics
 Engineering mathematics
 Global analysis (Mathematics)
 Global analysis (Mathematics)
 Mathematical physics
 Mathematical physics
 Mathematics
 Mathematics
 Science  Mathematics
 Science  Mathematics
 Difference equations  Numerical solutions
 Difference equations  Numerical solutions
 Language
 eng
 Summary
 This book gives a clear, practical and selfcontained 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 boundarylayer theory, WKB theory, and multiplescale analysis. Emphasizing applications, the discussion stresses care rather than rigor and relies on many wellchosen 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
 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
 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
 10.1007/9781475730692
 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
 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
 10.1007/9781475730692
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)851704808
Subject
 Differential equations  Numerical solutions
 Differential equations  Numerical solutions
 Engineering mathematics
 Engineering mathematics
 Global analysis (Mathematics)
 Global analysis (Mathematics)
 Mathematical physics
 Mathematical physics
 Mathematics
 Mathematics
 Science  Mathematics
 Science  Mathematics
 Difference equations  Numerical solutions
 Difference equations  Numerical solutions
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