The Resource A textbook on ordinary differential equations, Shair Ahmad, Antonio Ambrosetti

A textbook on ordinary differential equations, Shair Ahmad, Antonio Ambrosetti

Label
A textbook on ordinary differential equations
Title
A textbook on ordinary differential equations
Statement of responsibility
Shair Ahmad, Antonio Ambrosetti
Creator
Contributor
Author
Subject
Genre
Language
eng
Summary
This book offers readers a primer on the theory and applications of Ordinary Differential Equations. The style used is simple, yet thorough and rigorous. Each chapter ends with a broad set of exercises that range from the routine to the more challenging and thought-provoking. Solutions to selected exercises can be found at the end of the book. The book contains many interesting examples on topics such as electric circuits, the pendulum equation, the logistic equation, the Lotka-Volterra system, the Laplace Transform, etc., which introduce students to a number of interesting aspects of the theory and applications. The work is mainly intended for students of Mathematics, Physics, Engineering, Computer Science and other areas of the natural and social sciences that use ordinary differential equations, and who have a firm grasp of Calculus and a minimal understanding of the basic concepts used in Linear Algebra. It also studies a few more advanced topics, such as Stability Theory and Boundary Value Problems, which may be suitable for more advanced undergraduate or first-year graduate students. The second edition has been revised to correct minor errata, and features a number of carefully selected new exercises, together with more detailed explanations of some of the topics
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Ahmad, Shair
Dewey number
518/.63
Illustrations
illustrations
Index
index present
LC call number
QA372
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Ambrosetti, A.
Series statement
Unitext
Series volume
volume 88
http://library.link/vocab/subjectName
  • Differential equations
  • Differential equations
  • Differential equations, Linear
  • Differential equations, Linear
  • Differential equations
  • Differential equations, Linear
  • Differential equations, Linear
  • Differential equations
Label
A textbook on ordinary differential equations, Shair Ahmad, Antonio Ambrosetti
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-16408-3
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
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
1 First order linear differential equations -- 2 Theory of first order differential equations -- 3 First order nonlinear differential equations -- 4 Existence and uniqueness for systems and higher order equations -- 5 Second order equations -- 6 Higher order linear equations -- 7 Systems of first order equations -- 8 Qualitative analysis of 2x2 systems and nonlinear second order equations -- 9 Sturm Liouville eigenvalue theory -- 10 Solutions by infinite series and Bessel functions -- 11 Laplace transform -- 12 Stability theory -- 13 Boundary value problems -- 14 Appendix A. Numerical methods -- 15 Answers to selected exercises
Dimensions
unknown
Edition
Second edition.
Extent
1 online resource (xiv, 321 pages)
File format
unknown
Form of item
online
Isbn
9783319164076
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-16408-3
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)910884127
  • (OCoLC)ocn910884127
Label
A textbook on ordinary differential equations, Shair Ahmad, Antonio Ambrosetti
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-16408-3
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
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
1 First order linear differential equations -- 2 Theory of first order differential equations -- 3 First order nonlinear differential equations -- 4 Existence and uniqueness for systems and higher order equations -- 5 Second order equations -- 6 Higher order linear equations -- 7 Systems of first order equations -- 8 Qualitative analysis of 2x2 systems and nonlinear second order equations -- 9 Sturm Liouville eigenvalue theory -- 10 Solutions by infinite series and Bessel functions -- 11 Laplace transform -- 12 Stability theory -- 13 Boundary value problems -- 14 Appendix A. Numerical methods -- 15 Answers to selected exercises
Dimensions
unknown
Edition
Second edition.
Extent
1 online resource (xiv, 321 pages)
File format
unknown
Form of item
online
Isbn
9783319164076
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-16408-3
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)910884127
  • (OCoLC)ocn910884127

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