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The Resource Ordinary differential equations, William A. Adkins, Mark G. Davidson

Ordinary differential equations, William A. Adkins, Mark G. Davidson

Label
Ordinary differential equations
Title
Ordinary differential equations
Statement of responsibility
William A. Adkins, Mark G. Davidson
Creator
Contributor
Subject
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 four-hour, sophomore-level 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 one-year course in college calculus
Member of
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
Instantiates
Publication
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
  • 10.1007/978-1-4614-3618-8
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
Publication
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
  • 10.1007/978-1-4614-3618-8
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

Library Locations

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      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
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