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The Resource Differential Equations: Theory and Applications, by David Betounes, (electronic resource)
Differential Equations: Theory and Applications, by David Betounes, (electronic resource)
Resource Information
The item Differential Equations: Theory and Applications, by David Betounes, (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 Differential Equations: Theory and Applications, by David Betounes, (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 book provides a comprehensive introduction to the theory of ordinary differential equations at the graduate level and includes applications to Newtonian and Hamiltonian mechanics. It not only has a large number of examples and computer graphics, but also has a complete collection of proofs for the major theorems, ranging from the usual existence and uniqueness results to the HartmanGrobman linearization theorem and the Jordan canonical form theorem. The book can be used almost exclusively in the traditional way for graduate math courses, or it can be used in an applied way for interdisciplinary courses involving physics, engineering, and other science majors. For this reason an extensive computer component using Maple is provided on Springer’s website. This new edition has been extensively revised throughout, particularly the chapters on linear systems, stability theory and Hamiltonian systems. The computer component is an indepth supplement and complement to the material in the text and contains an introduction to discrete dynamical systems and iterated maps, specialpurpose Maple code for animating phase portraits, stair diagrams, Nbody motions, and rigidbody motions, and numerous tutorial Maple worksheets pertaining to all aspects of using Maple to study the topics in the text. Review from first edition: "This book is intended for first and second year graduate students in mathematics and also organized to be used for interdisciplinary courses in applied mathematics, physics, and engineering. ... The book is well written and provides many interesting examples. The author gives a comprehensive introduction to the theory on ordinary differential equations with a focus on mechanics and dynamical systems. The exposition is clear and easily understood...." (Yuan Rong, Zentralblatt MATH, Vol. 993 (18), 2002)
 Language

 eng
 eng
 Edition
 2nd ed.
 Extent
 1 online resource (633 p.)
 Note
 Description based upon print version of record
 Contents

 Techniques, Concepts and Examples
 Existence and Uniqueness: The Flow Map
 Linear Systems
 Linearization #x0026; Transformation
 Stability Theory
 Integrable Systems
 Newtonian Mechanics
 Hamiltonian Systems
 Elementary Analysis
 Lipschitz Maps and Linearization
 Linear Algebra
 Electronic Contents
 Isbn
 9781441911636
 Label
 Differential Equations: Theory and Applications
 Title
 Differential Equations: Theory and Applications
 Statement of responsibility
 by David Betounes
 Language

 eng
 eng
 Summary
 The book provides a comprehensive introduction to the theory of ordinary differential equations at the graduate level and includes applications to Newtonian and Hamiltonian mechanics. It not only has a large number of examples and computer graphics, but also has a complete collection of proofs for the major theorems, ranging from the usual existence and uniqueness results to the HartmanGrobman linearization theorem and the Jordan canonical form theorem. The book can be used almost exclusively in the traditional way for graduate math courses, or it can be used in an applied way for interdisciplinary courses involving physics, engineering, and other science majors. For this reason an extensive computer component using Maple is provided on Springer’s website. This new edition has been extensively revised throughout, particularly the chapters on linear systems, stability theory and Hamiltonian systems. The computer component is an indepth supplement and complement to the material in the text and contains an introduction to discrete dynamical systems and iterated maps, specialpurpose Maple code for animating phase portraits, stair diagrams, Nbody motions, and rigidbody motions, and numerous tutorial Maple worksheets pertaining to all aspects of using Maple to study the topics in the text. Review from first edition: "This book is intended for first and second year graduate students in mathematics and also organized to be used for interdisciplinary courses in applied mathematics, physics, and engineering. ... The book is well written and provides many interesting examples. The author gives a comprehensive introduction to the theory on ordinary differential equations with a focus on mechanics and dynamical systems. The exposition is clear and easily understood...." (Yuan Rong, Zentralblatt MATH, Vol. 993 (18), 2002)
 http://library.link/vocab/creatorName
 Betounes, David
 Dewey number
 515.35
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 4HqkBmPZWmc
 Language note
 English
 LC call number
 QA372
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/subjectName

 Differential Equations
 Numerical analysis
 Differentiable dynamical systems
 Mathematical physics
 Ordinary Differential Equations
 Numerical Analysis
 Dynamical Systems and Ergodic Theory
 Mathematical Methods in Physics
 Label
 Differential Equations: Theory and Applications, by David Betounes, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 Techniques, Concepts and Examples  Existence and Uniqueness: The Flow Map  Linear Systems  Linearization #x0026; Transformation  Stability Theory  Integrable Systems  Newtonian Mechanics  Hamiltonian Systems  Elementary Analysis  Lipschitz Maps and Linearization  Linear Algebra  Electronic Contents
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (633 p.)
 Form of item
 online
 Isbn
 9781441911636
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9781441911636
 Specific material designation
 remote
 System control number

 (CKB)2670000000007006
 (EBL)3064844
 (SSID)ssj0000372636
 (PQKBManifestationID)11275430
 (PQKBTitleCode)TC0000372636
 (PQKBWorkID)10438281
 (PQKB)10042466
 (DEHe213)9781441911636
 (MiAaPQ)EBC3064844
 (EXLCZ)992670000000007006
 Label
 Differential Equations: Theory and Applications, by David Betounes, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 Techniques, Concepts and Examples  Existence and Uniqueness: The Flow Map  Linear Systems  Linearization #x0026; Transformation  Stability Theory  Integrable Systems  Newtonian Mechanics  Hamiltonian Systems  Elementary Analysis  Lipschitz Maps and Linearization  Linear Algebra  Electronic Contents
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (633 p.)
 Form of item
 online
 Isbn
 9781441911636
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9781441911636
 Specific material designation
 remote
 System control number

 (CKB)2670000000007006
 (EBL)3064844
 (SSID)ssj0000372636
 (PQKBManifestationID)11275430
 (PQKBTitleCode)TC0000372636
 (PQKBWorkID)10438281
 (PQKB)10042466
 (DEHe213)9781441911636
 (MiAaPQ)EBC3064844
 (EXLCZ)992670000000007006
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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/DifferentialEquationsTheoryandApplications/r0UBKGiVWjE/" 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/DifferentialEquationsTheoryandApplications/r0UBKGiVWjE/">Differential Equations: Theory and Applications, by David Betounes, (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>