The Resource Ordinary differential equations, William A. Adkins, Mark G. Davidson
Ordinary differential equations, William A. Adkins, Mark G. Davidson
Resource Information
The item Ordinary differential equations, William A. Adkins, Mark G. Davidson represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Ordinary differential equations, William A. Adkins, Mark G. Davidson represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 Unlike most texts in differential equations, this textbook gives an early presentation of the Laplace transform, which is then used to motivate and develop many of the remaining differential equation concepts for which it is particularly well suited. For example, the standard solution methods for constant coefficient linear differential equations are immediate and simplified, and solution methods for constant coefficient systems are streamlined. By introducing the Laplace transform early in the text, students become proficient in its use while at the same time learning the standard topics in differential equations. The text also includes proofs of several important theorems that are not usually given in introductory texts. These include a proof of the injectivity of the Laplace transform and a proof of the existence and uniqueness theorem for linear constant coefficient differential equations. Along with its unique traits, this text contains all the topics needed for a standard three or fourhour, sophomorelevel differential equations course for students majoring in science or engineering. These topics include: first order differential equations, general linear differential equations with constant coefficients, second order linear differential equations with variable coefficients, power series methods, and linear systems of differential equations. It is assumed that the reader has had the equivalent of a oneyear course in college calculus
 Language
 eng
 Extent
 1 online resource.
 Contents

 Linear Systems of Differential Equations
 William A. Adkins and Mark G. Davidson
 First Order Differential Equations
 The Laplace Transform
 Second Order Constant Coefficient Linear Differential Equations
 Linear Constant Coefficient Differential Equations
 Second Order Linear Differential Equations
 Discontinuous Functions and the Laplace Transform
 Power Series Methods
 Matrices
 Isbn
 9781461436188
 Label
 Ordinary differential equations
 Title
 Ordinary differential equations
 Statement of responsibility
 William A. Adkins, Mark G. Davidson
 Language
 eng
 Summary
 Unlike most texts in differential equations, this textbook gives an early presentation of the Laplace transform, which is then used to motivate and develop many of the remaining differential equation concepts for which it is particularly well suited. For example, the standard solution methods for constant coefficient linear differential equations are immediate and simplified, and solution methods for constant coefficient systems are streamlined. By introducing the Laplace transform early in the text, students become proficient in its use while at the same time learning the standard topics in differential equations. The text also includes proofs of several important theorems that are not usually given in introductory texts. These include a proof of the injectivity of the Laplace transform and a proof of the existence and uniqueness theorem for linear constant coefficient differential equations. Along with its unique traits, this text contains all the topics needed for a standard three or fourhour, sophomorelevel differential equations course for students majoring in science or engineering. These topics include: first order differential equations, general linear differential equations with constant coefficients, second order linear differential equations with variable coefficients, power series methods, and linear systems of differential equations. It is assumed that the reader has had the equivalent of a oneyear course in college calculus
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorName
 Adkins, William A
 Dewey number
 515/.352
 Index
 index present
 LC call number
 QA371
 LC item number
 .A35 2012
 Literary form
 non fiction
 Nature of contents
 dictionaries
 NLM call number
 Online Book
 http://library.link/vocab/relatedWorkOrContributorDate
 1955
 http://library.link/vocab/relatedWorkOrContributorName
 Davidson, Mark G.
 Series statement
 Undergraduate texts in mathematics,
 http://library.link/vocab/subjectName

 Differential equations
 Mathematics
 Differential equations
 Label
 Ordinary differential equations, William A. Adkins, Mark G. Davidson
 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

 Linear Systems of Differential Equations
 William A. Adkins and Mark G. Davidson
 First Order Differential Equations
 The Laplace Transform
 Second Order Constant Coefficient Linear Differential Equations
 Linear Constant Coefficient Differential Equations
 Second Order Linear Differential Equations
 Discontinuous Functions and the Laplace Transform
 Power Series Methods
 Matrices
 Control code
 798817530
 Dimensions
 unknown
 Extent
 1 online resource.
 File format
 unknown
 Form of item
 online
 Isbn
 9781461436188
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number

 9781461436171
 10.1007/9781461436188
 http://library.link/vocab/ext/overdrive/overdriveId
 9781461436171
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)798817530
 Label
 Ordinary differential equations, William A. Adkins, Mark G. Davidson
 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

 Linear Systems of Differential Equations
 William A. Adkins and Mark G. Davidson
 First Order Differential Equations
 The Laplace Transform
 Second Order Constant Coefficient Linear Differential Equations
 Linear Constant Coefficient Differential Equations
 Second Order Linear Differential Equations
 Discontinuous Functions and the Laplace Transform
 Power Series Methods
 Matrices
 Control code
 798817530
 Dimensions
 unknown
 Extent
 1 online resource.
 File format
 unknown
 Form of item
 online
 Isbn
 9781461436188
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number

 9781461436171
 10.1007/9781461436188
 http://library.link/vocab/ext/overdrive/overdriveId
 9781461436171
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)798817530
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