The Resource Analytical Dynamics : Theory and Applications, by Mark D. Ardema, (electronic resource)

Analytical Dynamics : Theory and Applications, by Mark D. Ardema, (electronic resource)

Label
Analytical Dynamics : Theory and Applications
Title
Analytical Dynamics
Title remainder
Theory and Applications
Statement of responsibility
by Mark D. Ardema
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
In his great work, Mecanique Analytique (1788)-^Lagrange used the term "analytical" to mean "non-geometrical." Indeed, Lagrange made the following boast: "No diagrams will be found in this work. The methods that I explain in it require neither constructions nor geometrical or mechanical arguments, but only the algebraic operations inherent to a regular and uniform process. Those who love Analysis will, with joy, see mechanics become a new branch of it and will be grateful to me for thus having extended its field." This was in marked contrast to Newton's Philosohiae Naturalis Principia Mathematica (1687) which is full of elaborate geometrical constructions. It has been remarked that the classical Greeks would have understood some of the Principia but none of the Mecanique Analytique. The term analytical dynamics has now come to mean the develop­ ments in dynamics from just after Newton to just before the advent of relativity theory and quantum mechanics, and it is this meaning of the term that is meant here. Frequent use will be made of diagrams to illus­ trate the theory and its applications, although it will be noted that as the book progresses and the material gets "more analytical", the number of figures per chapter tends to decrease, although not monotonically
http://library.link/vocab/creatorName
Ardema, Mark D
Dewey number
  • 531.11
  • 620.104
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
JGDzkw-GEzI
Language note
English
LC call number
TA1-2040
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/subjectName
  • Engineering
  • Vibration
  • Engineering, general
  • Vibration, Dynamical Systems, Control
Label
Analytical Dynamics : Theory and Applications, by Mark D. Ardema, (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
Review of Newtonian Dynamics -- Motion and Constraints -- Virtual Displacement and Virtual Work -- Variational Principles -- Generalized Coordinates -- Lagrange’s Equations -- Formulation of Equations -- Integration of Equations -- Examples -- Central Force Motion -- Gyroscopic Motion -- Stability Of Motion -- Impulsive Motion -- Gibbs-Appell Equations -- Hamilton’s Equations -- Contact Transformations -- Hamilton-Jacobi Equation -- Approximation Methods
Dimensions
unknown
Extent
1 online resource (353 p.)
Form of item
online
Isbn
9780306486821
Media category
computer
Media type code
  • c
Other control number
10.1007/b116020
Specific material designation
remote
System control number
  • (CKB)1000000000283204
  • (EBL)323060
  • (OCoLC)828801917
  • (SSID)ssj0000103042
  • (PQKBManifestationID)11127535
  • (PQKBTitleCode)TC0000103042
  • (PQKBWorkID)10061427
  • (PQKB)10590468
  • (DE-He213)978-0-306-48682-1
  • (MiAaPQ)EBC323060
  • (EXLCZ)991000000000283204
Label
Analytical Dynamics : Theory and Applications, by Mark D. Ardema, (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
Review of Newtonian Dynamics -- Motion and Constraints -- Virtual Displacement and Virtual Work -- Variational Principles -- Generalized Coordinates -- Lagrange’s Equations -- Formulation of Equations -- Integration of Equations -- Examples -- Central Force Motion -- Gyroscopic Motion -- Stability Of Motion -- Impulsive Motion -- Gibbs-Appell Equations -- Hamilton’s Equations -- Contact Transformations -- Hamilton-Jacobi Equation -- Approximation Methods
Dimensions
unknown
Extent
1 online resource (353 p.)
Form of item
online
Isbn
9780306486821
Media category
computer
Media type code
  • c
Other control number
10.1007/b116020
Specific material designation
remote
System control number
  • (CKB)1000000000283204
  • (EBL)323060
  • (OCoLC)828801917
  • (SSID)ssj0000103042
  • (PQKBManifestationID)11127535
  • (PQKBTitleCode)TC0000103042
  • (PQKBWorkID)10061427
  • (PQKB)10590468
  • (DE-He213)978-0-306-48682-1
  • (MiAaPQ)EBC323060
  • (EXLCZ)991000000000283204

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