Borrow it
 Architecture Library
 Bizzell Memorial Library
 Boorstin Collection
 Chinese Literature Translation Archive
 Engineering Library
 Fine Arts Library
 Harry W. Bass Business History Collection
 History of Science Collections
 John and Mary Nichols Rare Books and Special Collections
 Library Service Center
 Price College Digital Library
 Western History Collections
The Resource Applied Laplace Transforms and zTransforms for Scientists and Engineers : A Computational Approach using a Mathematica Package, by Urs Graf, (electronic resource)
Applied Laplace Transforms and zTransforms for Scientists and Engineers : A Computational Approach using a Mathematica Package, by Urs Graf, (electronic resource)
Resource Information
The item Applied Laplace Transforms and zTransforms for Scientists and Engineers : A Computational Approach using a Mathematica Package, by Urs Graf, (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 Applied Laplace Transforms and zTransforms for Scientists and Engineers : A Computational Approach using a Mathematica Package, by Urs Graf, (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
 The theory of Laplace transformation is an important part of the mathematical background required for engineers, physicists and mathematicians. Laplace transformation methods provide easy and effective techniques for solving many problems arising in various fields of science and engineering, especially for solving differential equations. What the Laplace transformation does in the field of differential equations, the ztransformation achieves for difference equations. The two theories are parallel and have many analogies. Laplace and z transformations are also referred to as operational calculus, but this notion is also used in a more restricted sense to denote the operational calculus of Mikusinski. This book does not use the operational calculus of Mikusinski, whose approach is based on abstract algebra and is not readily accessible to engineers and scientists. The symbolic computation capability of Mathematica can now be used in favor of the Laplace and ztransformations. The first version of the Mathematica Package LaplaceAndzTransforrns developed by the author appeared ten years ago. The Package computes not only Laplace and ztransforms but also includes many routines from various domains of applications. Upon loading the Package, about one hundred and fifty new commands are added to the builtin commands of Mathematica. The code is placed in front of the already builtin code of Laplace and ztransformations of Mathematica so that builtin functions not covered by the Package remain available. The Package substantially enhances the Laplace and ztransformation facilities of Mathematica. The book is mainly designed for readers working in the field of applications
 Language

 eng
 eng
 Edition
 1st ed. 2004.
 Extent
 1 online resource (X, 500 p.)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Contents

 1 Laplace Transformation
 1.1 The OneSided Laplace Transform
 1.2 The TwoSided Laplace Transform
 1.3 Ordinary Linear Differential Equations
 2 zTransformation
 2.1 zTransforms and Inverse zTransforms
 2.2 Difference Equations
 3 Laplace Transforms with the Package
 3.1 Basics
 3.2 The Use of Transformation Rules
 3.3 The Finite Laplace Transform
 3.4 Special Functions
 3.5 Inverse Laplace Transformation
 3.6 Differential Equations
 4 zTransformation with the Package
 4.1 Basics
 4.2 Use of Transformation Rules
 4.3 Difference Equations
 5 Applications To Automatic Control
 5.1 Controller Configurations
 5.2 StateVariable Analysis
 5.3 Second Order Differential Systems
 5.4 Stability
 5.5 Frequency Analysis
 5.6 SampledData Control Systems
 6 Laplace Transformation: Further Topics
 6.1 The Complex Inversion Formula
 6.2 Laplace Transforms and Asymptotics
 6.3 Differential Equations
 7 zTransformation: Further Topics
 7.1 The Advanced zTransformation
 7.2 Applications
 7.3 Use of the Package
 8 Examples from Electricity
 8.1 Transmission Lines
 8.2 Electrical Networks
 9 Examples from Control Engineering
 9.1 Control of an Inverted Pendulum
 9.2 Controling a SeesawPendulum
 9.3 Control of a DC Motor
 9.4 A MagneticBallSuspensionSystem
 9.5 A SampledData StateVariable Control System
 10 Heat Conduction and Vibration Problems
 10.1 Flow of Heat
 10.2 Waves and Vibrations in Elastic Solids
 11 Further Techniques
 11.1 Duhamel’s Formulas
 11.2 Green’s Functions
 11.3 Fundamental Solutions
 11.4 Finite Fourier Transforms
 12 Numerical Inversion of Laplace Transforms
 12.1 Inversion by the Use of Laguerre Functions
 12.2 Inversion by Use of Fourier Analysis
 12.3 The Use of Gaussian Quadrature Formulas
 12.4 The Method of Gaver and Stehfest
 12.5 Example
 Appendix: Package Commands
 Isbn
 9783034878463
 Label
 Applied Laplace Transforms and zTransforms for Scientists and Engineers : A Computational Approach using a Mathematica Package
 Title
 Applied Laplace Transforms and zTransforms for Scientists and Engineers
 Title remainder
 A Computational Approach using a Mathematica Package
 Statement of responsibility
 by Urs Graf
 Language

 eng
 eng
 Summary
 The theory of Laplace transformation is an important part of the mathematical background required for engineers, physicists and mathematicians. Laplace transformation methods provide easy and effective techniques for solving many problems arising in various fields of science and engineering, especially for solving differential equations. What the Laplace transformation does in the field of differential equations, the ztransformation achieves for difference equations. The two theories are parallel and have many analogies. Laplace and z transformations are also referred to as operational calculus, but this notion is also used in a more restricted sense to denote the operational calculus of Mikusinski. This book does not use the operational calculus of Mikusinski, whose approach is based on abstract algebra and is not readily accessible to engineers and scientists. The symbolic computation capability of Mathematica can now be used in favor of the Laplace and ztransformations. The first version of the Mathematica Package LaplaceAndzTransforrns developed by the author appeared ten years ago. The Package computes not only Laplace and ztransforms but also includes many routines from various domains of applications. Upon loading the Package, about one hundred and fifty new commands are added to the builtin commands of Mathematica. The code is placed in front of the already builtin code of Laplace and ztransformations of Mathematica so that builtin functions not covered by the Package remain available. The Package substantially enhances the Laplace and ztransformation facilities of Mathematica. The book is mainly designed for readers working in the field of applications
 http://library.link/vocab/creatorName
 Graf, Urs
 Dewey number
 515.7
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 jxgyR2_R910
 Image bit depth
 0
 Language note
 English
 LC call number
 QA319329.9
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/subjectName

 Functional analysis
 Algebra
 Integral Transforms
 Computer science
 Functional Analysis
 Symbolic and Algebraic Manipulation
 Integral Transforms, Operational Calculus
 Computational Mathematics and Numerical Analysis
 Label
 Applied Laplace Transforms and zTransforms for Scientists and Engineers : A Computational Approach using a Mathematica Package, by Urs Graf, (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 Laplace Transformation  1.1 The OneSided Laplace Transform  1.2 The TwoSided Laplace Transform  1.3 Ordinary Linear Differential Equations  2 zTransformation  2.1 zTransforms and Inverse zTransforms  2.2 Difference Equations  3 Laplace Transforms with the Package  3.1 Basics  3.2 The Use of Transformation Rules  3.3 The Finite Laplace Transform  3.4 Special Functions  3.5 Inverse Laplace Transformation  3.6 Differential Equations  4 zTransformation with the Package  4.1 Basics  4.2 Use of Transformation Rules  4.3 Difference Equations  5 Applications To Automatic Control  5.1 Controller Configurations  5.2 StateVariable Analysis  5.3 Second Order Differential Systems  5.4 Stability  5.5 Frequency Analysis  5.6 SampledData Control Systems  6 Laplace Transformation: Further Topics  6.1 The Complex Inversion Formula  6.2 Laplace Transforms and Asymptotics  6.3 Differential Equations  7 zTransformation: Further Topics  7.1 The Advanced zTransformation  7.2 Applications  7.3 Use of the Package  8 Examples from Electricity  8.1 Transmission Lines  8.2 Electrical Networks  9 Examples from Control Engineering  9.1 Control of an Inverted Pendulum  9.2 Controling a SeesawPendulum  9.3 Control of a DC Motor  9.4 A MagneticBallSuspensionSystem  9.5 A SampledData StateVariable Control System  10 Heat Conduction and Vibration Problems  10.1 Flow of Heat  10.2 Waves and Vibrations in Elastic Solids  11 Further Techniques  11.1 Duhamel’s Formulas  11.2 Green’s Functions  11.3 Fundamental Solutions  11.4 Finite Fourier Transforms  12 Numerical Inversion of Laplace Transforms  12.1 Inversion by the Use of Laguerre Functions  12.2 Inversion by Use of Fourier Analysis  12.3 The Use of Gaussian Quadrature Formulas  12.4 The Method of Gaver and Stehfest  12.5 Example  Appendix: Package Commands
 Dimensions
 unknown
 Edition
 1st ed. 2004.
 Extent
 1 online resource (X, 500 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9783034878463
 Level of compression
 uncompressed
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9783034878463
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000101341
 (SSID)ssj0000933585
 (PQKBManifestationID)11582208
 (PQKBTitleCode)TC0000933585
 (PQKBWorkID)10890327
 (PQKB)11502936
 (DEHe213)9783034878463
 (MiAaPQ)EBC3086079
 (EXLCZ)993400000000101341
 Label
 Applied Laplace Transforms and zTransforms for Scientists and Engineers : A Computational Approach using a Mathematica Package, by Urs Graf, (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 Laplace Transformation  1.1 The OneSided Laplace Transform  1.2 The TwoSided Laplace Transform  1.3 Ordinary Linear Differential Equations  2 zTransformation  2.1 zTransforms and Inverse zTransforms  2.2 Difference Equations  3 Laplace Transforms with the Package  3.1 Basics  3.2 The Use of Transformation Rules  3.3 The Finite Laplace Transform  3.4 Special Functions  3.5 Inverse Laplace Transformation  3.6 Differential Equations  4 zTransformation with the Package  4.1 Basics  4.2 Use of Transformation Rules  4.3 Difference Equations  5 Applications To Automatic Control  5.1 Controller Configurations  5.2 StateVariable Analysis  5.3 Second Order Differential Systems  5.4 Stability  5.5 Frequency Analysis  5.6 SampledData Control Systems  6 Laplace Transformation: Further Topics  6.1 The Complex Inversion Formula  6.2 Laplace Transforms and Asymptotics  6.3 Differential Equations  7 zTransformation: Further Topics  7.1 The Advanced zTransformation  7.2 Applications  7.3 Use of the Package  8 Examples from Electricity  8.1 Transmission Lines  8.2 Electrical Networks  9 Examples from Control Engineering  9.1 Control of an Inverted Pendulum  9.2 Controling a SeesawPendulum  9.3 Control of a DC Motor  9.4 A MagneticBallSuspensionSystem  9.5 A SampledData StateVariable Control System  10 Heat Conduction and Vibration Problems  10.1 Flow of Heat  10.2 Waves and Vibrations in Elastic Solids  11 Further Techniques  11.1 Duhamel’s Formulas  11.2 Green’s Functions  11.3 Fundamental Solutions  11.4 Finite Fourier Transforms  12 Numerical Inversion of Laplace Transforms  12.1 Inversion by the Use of Laguerre Functions  12.2 Inversion by Use of Fourier Analysis  12.3 The Use of Gaussian Quadrature Formulas  12.4 The Method of Gaver and Stehfest  12.5 Example  Appendix: Package Commands
 Dimensions
 unknown
 Edition
 1st ed. 2004.
 Extent
 1 online resource (X, 500 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9783034878463
 Level of compression
 uncompressed
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9783034878463
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000101341
 (SSID)ssj0000933585
 (PQKBManifestationID)11582208
 (PQKBTitleCode)TC0000933585
 (PQKBWorkID)10890327
 (PQKB)11502936
 (DEHe213)9783034878463
 (MiAaPQ)EBC3086079
 (EXLCZ)993400000000101341
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
Embed (Experimental)
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/AppliedLaplaceTransformsandzTransformsfor/qqFMtIt1PM/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/AppliedLaplaceTransformsandzTransformsfor/qqFMtIt1PM/">Applied Laplace Transforms and zTransforms for Scientists and Engineers : A Computational Approach using a Mathematica Package, by Urs Graf, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Applied Laplace Transforms and zTransforms for Scientists and Engineers : A Computational Approach using a Mathematica Package, by Urs Graf, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/AppliedLaplaceTransformsandzTransformsfor/qqFMtIt1PM/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/AppliedLaplaceTransformsandzTransformsfor/qqFMtIt1PM/">Applied Laplace Transforms and zTransforms for Scientists and Engineers : A Computational Approach using a Mathematica Package, by Urs Graf, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>