The Resource An Introduction to Hamiltonian Mechanics, by Gerardo F. Torres del Castillo, (electronic resource)

An Introduction to Hamiltonian Mechanics, by Gerardo F. Torres del Castillo, (electronic resource)

Label
An Introduction to Hamiltonian Mechanics
Title
An Introduction to Hamiltonian Mechanics
Statement of responsibility
by Gerardo F. Torres del Castillo
Creator
Contributor
Author
Author
Provider
Subject
Language
eng
Summary
This textbook examines the Hamiltonian formulation in classical mechanics with the basic mathematical tools of multivariate calculus. It explores topics like variational symmetries, canonoid transformations, and geometrical optics that are usually omitted from an introductory classical mechanics course. For students with only a basic knowledge of mathematics and physics, this book makes those results accessible through worked-out examples and well-chosen exercises. For readers not familiar with Lagrange equations, the first chapters are devoted to the Lagrangian formalism and its applications. Later sections discuss canonical transformations, the Hamilton–Jacobi equation, and the Liouville Theorem on solutions of the Hamilton–Jacobi equation. Graduate and advanced undergraduate students in physics or mathematics who are interested in mechanics and applied math will benefit from this treatment of analytical mechanics. The text assumes the basics of classical mechanics, as well as linear algebra, differential calculus, elementary differential equations and analytic geometry. Designed for self-study, this book includes detailed examples and exercises with complete solutions, although it can also serve as a class text
Member of
http://library.link/vocab/creatorName
Torres del Castillo, Gerardo F
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
TLbXDYNNvAA
Image bit depth
0
LC call number
QA313
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Birkhäuser Advanced Texts Basler Lehrbücher,
http://library.link/vocab/subjectName
  • Differentiable dynamical systems
  • Mechanics
  • Dynamical Systems and Ergodic Theory
  • Classical Mechanics
  • Mathematical Physics
Label
An Introduction to Hamiltonian Mechanics, by Gerardo F. Torres del Castillo, (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
Preface -- The Lagrangian Formalism -- Some Applications of the Lagrangian Formalism -- Rigid Bodies -- The Hamiltonian Formalism -- Canonical Transformations -- The Hamilton–Jacobi Formalism -- Solutions -- References -- Index
Dimensions
unknown
Extent
X, 366 p. 42 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319952253
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-95225-3
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-95225-3
Label
An Introduction to Hamiltonian Mechanics, by Gerardo F. Torres del Castillo, (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
Preface -- The Lagrangian Formalism -- Some Applications of the Lagrangian Formalism -- Rigid Bodies -- The Hamiltonian Formalism -- Canonical Transformations -- The Hamilton–Jacobi Formalism -- Solutions -- References -- Index
Dimensions
unknown
Extent
X, 366 p. 42 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319952253
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-95225-3
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-95225-3

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