The Resource Analytical Mechanics, by Carl S. Helrich, (electronic resource)

Analytical Mechanics, by Carl S. Helrich, (electronic resource)

Label
Analytical Mechanics
Title
Analytical Mechanics
Statement of responsibility
by Carl S. Helrich
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
This advanced undergraduate textbook begins with the Lagrangian formulation of Analytical Mechanics and then passes directly to the Hamiltonian formulation and the canonical equations, with constraints incorporated through Lagrange multipliers. Hamilton's Principle and the canonical equations remain the basis of the remainder of the text. Topics considered for applications include small oscillations, motion in electric and magnetic fields, and rigid body dynamics. The Hamilton-Jacobi approach is developed with special attention to the canonical transformation in order to provide a smooth and logical transition into the study of complex and chaotic systems. Finally the text has a careful treatment of relativistic mechanics and the requirement of Lorentz invariance. The text is enriched with an outline of the history of mechanics, which particularly outlines the importance of the work of Euler, Lagrange, Hamilton and Jacobi. Numerous exercises with solutions support the exceptionally clear and concise treatment of Analytical Mechanics.
Member of
http://library.link/vocab/creatorName
Helrich, Carl S
Image bit depth
0
LC call number
  • QC120-168.85
  • QA808.2
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Undergraduate Lecture Notes in Physics,
http://library.link/vocab/subjectName
  • Physics
  • Mechanics
  • Mechanics, Applied
  • Physics
  • Classical Mechanics
  • Mathematical Methods in Physics
  • Theoretical and Applied Mechanics
Label
Analytical Mechanics, by Carl S. Helrich, (electronic resource)
Instantiates
Publication
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
History -- Lagrangian Mechanics -- Hamiltonian Mechanics -- Solid Bodies -- Hamilton-Jacobi Approach -- Complex Systems -- Chaos in Dynamical Systems -- Special Relativity -- Appendices -- Differential of S -- Hamilton-Jacobi Equation -- With Variables p, q, q -- Zero-Component Lemma -- Maxwell Equations from Field Strength Tensor -- Differential Operators -- Answers to Selected Exercises.
Dimensions
unknown
Extent
XV, 349 p. 58 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319444918
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-44491-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-44491-8
Label
Analytical Mechanics, by Carl S. Helrich, (electronic resource)
Publication
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
History -- Lagrangian Mechanics -- Hamiltonian Mechanics -- Solid Bodies -- Hamilton-Jacobi Approach -- Complex Systems -- Chaos in Dynamical Systems -- Special Relativity -- Appendices -- Differential of S -- Hamilton-Jacobi Equation -- With Variables p, q, q -- Zero-Component Lemma -- Maxwell Equations from Field Strength Tensor -- Differential Operators -- Answers to Selected Exercises.
Dimensions
unknown
Extent
XV, 349 p. 58 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319444918
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-44491-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-44491-8

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