The Resource Differential Equations: Theory and Applications, by David Betounes, (electronic resource)

Differential Equations: Theory and Applications, by David Betounes, (electronic resource)

Label
Differential Equations: Theory and Applications
Title
Differential Equations: Theory and Applications
Statement of responsibility
by David Betounes
Creator
Author
Author
Subject
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 Hartman-Grobman 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 in-depth supplement and complement to the material in the text and contains an introduction to discrete dynamical systems and iterated maps, special-purpose Maple code for animating phase portraits, stair diagrams, N-body motions, and rigid-body 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)
Instantiates
Publication
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
10.1007/978-1-4419-1163-6
Specific material designation
remote
System control number
  • (CKB)2670000000007006
  • (EBL)3064844
  • (SSID)ssj0000372636
  • (PQKBManifestationID)11275430
  • (PQKBTitleCode)TC0000372636
  • (PQKBWorkID)10438281
  • (PQKB)10042466
  • (DE-He213)978-1-4419-1163-6
  • (MiAaPQ)EBC3064844
  • (EXLCZ)992670000000007006
Label
Differential Equations: Theory and Applications, by David Betounes, (electronic resource)
Publication
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
10.1007/978-1-4419-1163-6
Specific material designation
remote
System control number
  • (CKB)2670000000007006
  • (EBL)3064844
  • (SSID)ssj0000372636
  • (PQKBManifestationID)11275430
  • (PQKBTitleCode)TC0000372636
  • (PQKBWorkID)10438281
  • (PQKB)10042466
  • (DE-He213)978-1-4419-1163-6
  • (MiAaPQ)EBC3064844
  • (EXLCZ)992670000000007006

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