The Resource A Textbook on Ordinary Differential Equations, by Shair Ahmad, Antonio Ambrosetti, (electronic resource)
A Textbook on Ordinary Differential Equations, by Shair Ahmad, Antonio Ambrosetti, (electronic resource)
Resource Information
The item A Textbook on Ordinary Differential Equations, by Shair Ahmad, Antonio Ambrosetti, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item A Textbook on Ordinary Differential Equations, by Shair Ahmad, Antonio Ambrosetti, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 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 thoughtprovoking. 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 LotkaVolterra 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 firstyear 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
 Language
 eng
 Edition
 Second Edition.
 Extent
 XIV, 331 p.
 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
 Isbn
 9783319164083
 Label
 A Textbook on Ordinary Differential Equations
 Title
 A Textbook on Ordinary Differential Equations
 Statement of responsibility
 by Shair Ahmad, Antonio Ambrosetti
 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 thoughtprovoking. 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 LotkaVolterra 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 firstyear 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
 http://library.link/vocab/creatorName
 Ahmad, Shair
 Image bit depth
 0
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Ambrosetti, Antonio.
 SpringerLink (Online service)
 Series statement
 UNITEXT,
 Series volume
 88
 http://library.link/vocab/subjectName

 Mathematics
 Differential equations
 Applied mathematics
 Engineering mathematics
 Numerical analysis
 Label
 A Textbook on Ordinary Differential Equations, by Shair Ahmad, Antonio Ambrosetti, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 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
 Control code
 9783319164083
 Dimensions
 unknown
 Edition
 Second Edition.
 Extent
 XIV, 331 p.
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319164083
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code
 c
 Other control number
 10.1007/9783319164083
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)910884127
 Label
 A Textbook on Ordinary Differential Equations, by Shair Ahmad, Antonio Ambrosetti, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 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
 Control code
 9783319164083
 Dimensions
 unknown
 Edition
 Second Edition.
 Extent
 XIV, 331 p.
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319164083
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code
 c
 Other control number
 10.1007/9783319164083
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)910884127
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/ATextbookonOrdinaryDifferentialEquationsby/eB0wFJHMmOo/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/ATextbookonOrdinaryDifferentialEquationsby/eB0wFJHMmOo/">A Textbook on Ordinary Differential Equations, by Shair Ahmad, Antonio Ambrosetti, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>