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The Resource Analytical and Computational Methods of Advanced Engineering Mathematics, by Grant B. Gustafson, Calvin H. Wilcox, (electronic resource)
Analytical and Computational Methods of Advanced Engineering Mathematics, by Grant B. Gustafson, Calvin H. Wilcox, (electronic resource)
Resource Information
The item Analytical and Computational Methods of Advanced Engineering Mathematics, by Grant B. Gustafson, Calvin H. Wilcox, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Analytical and Computational Methods of Advanced Engineering Mathematics, by Grant B. Gustafson, Calvin H. Wilcox, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 (NOTES)This text focuses on the topics which are an essential part of the engineering mathematics course:ordinary differential equations, vector calculus, linear algebra and partial differential equations. Advantages over competing texts: 1. The text has a large number of examples and problems  a typical section having 25 quality problems directly related to the text. 2. The authors use a practical engineering approach based upon solving equations. All ideas and definitions are introduced from this basic viewpoint, which allows engineers in their second year to understand concepts that would otherwise be impossibly abstract. Partial differential equations are introduced in an engineering and science context based upon modelling of physical problems. A strength of the manuscript is the vast number of applications to realworld problems, each treated completely and in sufficient depth to be selfcontained. 3. Numerical analysis is introduced in the manuscript at a completely elementary calculus level. In fact, numerics are advertised as just an extension of the calculus and used generally as enrichment, to help communicate the role of mathematics in engineering applications. 4.The authors have used and updated the book as a course text over a 10 year period. 5. Modern outline, as contrasted to the outdated outline by Kreysig and Wylie. 6. This is now a one year course. The text is shorter and more readable than the current reference type manuals published all at around 13001500 pages
 Language

 eng
 eng
 Edition
 1st ed. 1998.
 Extent
 1 online resource (XXIV, 733 p.)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Contents

 1 Numerical Analysis
 1.1 The Nature of Numerical Analysis
 1.2 Polynomial Interpolation
 1.3 Numerical Integration and Differentiation
 1.4 Solution of Equations
 1.5 Inverse Functions
 1.6 Implicit Functions
 1.7 Numerical Summation of Infinite Series
 2 Ordinary Differential Equations of First Order
 2.1 The Nature of Differential Equations
 2.2 Separable Equations
 2.3 Linear FirstOrder Equations
 2.4 Exact Equations
 2.5 Applications to Some SecondOrder Equations
 2.6 The Initial Value Problem
 2.7 Numerical Methods for the Initial Value Problem
 3 Ordinary Differential Equations of Higher Order
 3.1 Examples from Engineering and Physics
 3.2 Linear SecondOrder Equations — Structure of Solutions
 3.3 Linear SecondOrder Equations with Constant Coefficients
 3.4 Linear SecondOrder Equations with Analytic Coefficients
 3.5 Numerical Methods for SecondOrder Equations
 3.6 Linear Equations of Order n > 2
 4 The Laplace Transform
 4.1 The Nature of the Laplace Transform
 4.2 The Laplace Transforms of Some Elementary Functions
 4.3 Operational Rules for the Laplace Transform
 4.4 Applications to Differential Equations
 4.5 Applications to Systems of Differential Equations
 5 Linear Algebra
 5.1 Systems of Linear Equations
 5.2 The Gauss Elimination Method
 5.3 Vector Spaces
 5.4 Matrices and Matrix Algebra
 5.5 The Fundamental Theorem of Linear Algebra
 5.6 Determinants and Cramer’s Rule
 5.7 Eigenvalues and Eigenvectors
 6 Vector Analysis
 6.1 Vector Algebra
 6.2 Vector Calculus of Curves in Space
 6.3 Vector Calculus of Surfaces in Space
 6.4 Calculus of Scalar and Vector Fields
 6.5 Integral Theorems of Vector Calculus
 6.6 XRay Diffraction and Crystal Structure
 7 Partial Differential Equations of Mathematical Physics
 7.1 Vibrating Strings: D’Alembert’s Wave Equation
 7.2 Heat Diffusion in Rods: Fourier’s Heat Equation
 7.3 Heat Diffusion in Plates
 7.4 SteadyState Heat Diffusion in Plates: The Laplace Equation
 7.5 Vibrations of Drums
 7.6 Heat Diffusion in Solids
 7.7 SteadyState Heat Diffusion in Solids
 8 Fourier Analysis and SturmLiouville Theory
 1 Fourier Series
 II Fourier Integrals
 III SturmLiouville Theory
 9 Boundary Value Problems of Mathematical Physics
 9.1 Heat Diffusion in One Dimension
 9.2 Vibration of Strings and Traveling Waves
 9.3 SteadyState Diffusion of Heat in Plates
 9.4 Transient Diffusion of Heat in Plates
 9.5 Vibrations of Drums
 9.6 SteadyState Diffusion of Heat in Solids
 9.7 The Laplace Transform Method
 Appendix: Answers and Hints to Selected Exercises
 References
 Isbn
 9781461206330
 Label
 Analytical and Computational Methods of Advanced Engineering Mathematics
 Title
 Analytical and Computational Methods of Advanced Engineering Mathematics
 Statement of responsibility
 by Grant B. Gustafson, Calvin H. Wilcox
 Language

 eng
 eng
 Summary
 (NOTES)This text focuses on the topics which are an essential part of the engineering mathematics course:ordinary differential equations, vector calculus, linear algebra and partial differential equations. Advantages over competing texts: 1. The text has a large number of examples and problems  a typical section having 25 quality problems directly related to the text. 2. The authors use a practical engineering approach based upon solving equations. All ideas and definitions are introduced from this basic viewpoint, which allows engineers in their second year to understand concepts that would otherwise be impossibly abstract. Partial differential equations are introduced in an engineering and science context based upon modelling of physical problems. A strength of the manuscript is the vast number of applications to realworld problems, each treated completely and in sufficient depth to be selfcontained. 3. Numerical analysis is introduced in the manuscript at a completely elementary calculus level. In fact, numerics are advertised as just an extension of the calculus and used generally as enrichment, to help communicate the role of mathematics in engineering applications. 4.The authors have used and updated the book as a course text over a 10 year period. 5. Modern outline, as contrasted to the outdated outline by Kreysig and Wylie. 6. This is now a one year course. The text is shorter and more readable than the current reference type manuals published all at around 13001500 pages
 http://library.link/vocab/creatorName
 Gustafson, Grant B
 Dewey number
 519
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 9STbsCww0LA
 aPqpI3LHBHU
 Image bit depth
 0
 Language note
 English
 LC call number

 TA329348
 TA640643
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName
 Wilcox, Calvin H.
 Series statement
 Texts in Applied Mathematics,
 Series volume
 28
 http://library.link/vocab/subjectName

 Engineering mathematics
 Mathematics
 Global analysis (Mathematics)
 Computer science
 Mathematical and Computational Engineering
 Applications of Mathematics
 Analysis
 Computational Mathematics and Numerical Analysis
 Label
 Analytical and Computational Methods of Advanced Engineering Mathematics, by Grant B. Gustafson, Calvin H. Wilcox, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code
 cr
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Contents
 1 Numerical Analysis  1.1 The Nature of Numerical Analysis  1.2 Polynomial Interpolation  1.3 Numerical Integration and Differentiation  1.4 Solution of Equations  1.5 Inverse Functions  1.6 Implicit Functions  1.7 Numerical Summation of Infinite Series  2 Ordinary Differential Equations of First Order  2.1 The Nature of Differential Equations  2.2 Separable Equations  2.3 Linear FirstOrder Equations  2.4 Exact Equations  2.5 Applications to Some SecondOrder Equations  2.6 The Initial Value Problem  2.7 Numerical Methods for the Initial Value Problem  3 Ordinary Differential Equations of Higher Order  3.1 Examples from Engineering and Physics  3.2 Linear SecondOrder Equations — Structure of Solutions  3.3 Linear SecondOrder Equations with Constant Coefficients  3.4 Linear SecondOrder Equations with Analytic Coefficients  3.5 Numerical Methods for SecondOrder Equations  3.6 Linear Equations of Order n > 2  4 The Laplace Transform  4.1 The Nature of the Laplace Transform  4.2 The Laplace Transforms of Some Elementary Functions  4.3 Operational Rules for the Laplace Transform  4.4 Applications to Differential Equations  4.5 Applications to Systems of Differential Equations  5 Linear Algebra  5.1 Systems of Linear Equations  5.2 The Gauss Elimination Method  5.3 Vector Spaces  5.4 Matrices and Matrix Algebra  5.5 The Fundamental Theorem of Linear Algebra  5.6 Determinants and Cramer’s Rule  5.7 Eigenvalues and Eigenvectors  6 Vector Analysis  6.1 Vector Algebra  6.2 Vector Calculus of Curves in Space  6.3 Vector Calculus of Surfaces in Space  6.4 Calculus of Scalar and Vector Fields  6.5 Integral Theorems of Vector Calculus  6.6 XRay Diffraction and Crystal Structure  7 Partial Differential Equations of Mathematical Physics  7.1 Vibrating Strings: D’Alembert’s Wave Equation  7.2 Heat Diffusion in Rods: Fourier’s Heat Equation  7.3 Heat Diffusion in Plates  7.4 SteadyState Heat Diffusion in Plates: The Laplace Equation  7.5 Vibrations of Drums  7.6 Heat Diffusion in Solids  7.7 SteadyState Heat Diffusion in Solids  8 Fourier Analysis and SturmLiouville Theory  1 Fourier Series  II Fourier Integrals  III SturmLiouville Theory  9 Boundary Value Problems of Mathematical Physics  9.1 Heat Diffusion in One Dimension  9.2 Vibration of Strings and Traveling Waves  9.3 SteadyState Diffusion of Heat in Plates  9.4 Transient Diffusion of Heat in Plates  9.5 Vibrations of Drums  9.6 SteadyState Diffusion of Heat in Solids  9.7 The Laplace Transform Method  Appendix: Answers and Hints to Selected Exercises  References
 Dimensions
 unknown
 Edition
 1st ed. 1998.
 Extent
 1 online resource (XXIV, 733 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9781461206330
 Level of compression
 uncompressed
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9781461206330
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000089209
 (SSID)ssj0001295845
 (PQKBManifestationID)11986898
 (PQKBTitleCode)TC0001295845
 (PQKBWorkID)11348358
 (PQKB)11518374
 (DEHe213)9781461206330
 (MiAaPQ)EBC3074035
 (EXLCZ)993400000000089209
 Label
 Analytical and Computational Methods of Advanced Engineering Mathematics, by Grant B. Gustafson, Calvin H. Wilcox, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code
 cr
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Contents
 1 Numerical Analysis  1.1 The Nature of Numerical Analysis  1.2 Polynomial Interpolation  1.3 Numerical Integration and Differentiation  1.4 Solution of Equations  1.5 Inverse Functions  1.6 Implicit Functions  1.7 Numerical Summation of Infinite Series  2 Ordinary Differential Equations of First Order  2.1 The Nature of Differential Equations  2.2 Separable Equations  2.3 Linear FirstOrder Equations  2.4 Exact Equations  2.5 Applications to Some SecondOrder Equations  2.6 The Initial Value Problem  2.7 Numerical Methods for the Initial Value Problem  3 Ordinary Differential Equations of Higher Order  3.1 Examples from Engineering and Physics  3.2 Linear SecondOrder Equations — Structure of Solutions  3.3 Linear SecondOrder Equations with Constant Coefficients  3.4 Linear SecondOrder Equations with Analytic Coefficients  3.5 Numerical Methods for SecondOrder Equations  3.6 Linear Equations of Order n > 2  4 The Laplace Transform  4.1 The Nature of the Laplace Transform  4.2 The Laplace Transforms of Some Elementary Functions  4.3 Operational Rules for the Laplace Transform  4.4 Applications to Differential Equations  4.5 Applications to Systems of Differential Equations  5 Linear Algebra  5.1 Systems of Linear Equations  5.2 The Gauss Elimination Method  5.3 Vector Spaces  5.4 Matrices and Matrix Algebra  5.5 The Fundamental Theorem of Linear Algebra  5.6 Determinants and Cramer’s Rule  5.7 Eigenvalues and Eigenvectors  6 Vector Analysis  6.1 Vector Algebra  6.2 Vector Calculus of Curves in Space  6.3 Vector Calculus of Surfaces in Space  6.4 Calculus of Scalar and Vector Fields  6.5 Integral Theorems of Vector Calculus  6.6 XRay Diffraction and Crystal Structure  7 Partial Differential Equations of Mathematical Physics  7.1 Vibrating Strings: D’Alembert’s Wave Equation  7.2 Heat Diffusion in Rods: Fourier’s Heat Equation  7.3 Heat Diffusion in Plates  7.4 SteadyState Heat Diffusion in Plates: The Laplace Equation  7.5 Vibrations of Drums  7.6 Heat Diffusion in Solids  7.7 SteadyState Heat Diffusion in Solids  8 Fourier Analysis and SturmLiouville Theory  1 Fourier Series  II Fourier Integrals  III SturmLiouville Theory  9 Boundary Value Problems of Mathematical Physics  9.1 Heat Diffusion in One Dimension  9.2 Vibration of Strings and Traveling Waves  9.3 SteadyState Diffusion of Heat in Plates  9.4 Transient Diffusion of Heat in Plates  9.5 Vibrations of Drums  9.6 SteadyState Diffusion of Heat in Solids  9.7 The Laplace Transform Method  Appendix: Answers and Hints to Selected Exercises  References
 Dimensions
 unknown
 Edition
 1st ed. 1998.
 Extent
 1 online resource (XXIV, 733 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9781461206330
 Level of compression
 uncompressed
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9781461206330
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000089209
 (SSID)ssj0001295845
 (PQKBManifestationID)11986898
 (PQKBTitleCode)TC0001295845
 (PQKBWorkID)11348358
 (PQKB)11518374
 (DEHe213)9781461206330
 (MiAaPQ)EBC3074035
 (EXLCZ)993400000000089209
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