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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
Author
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
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Torres del Castillo, Gerardo F
Dewey number
515.39
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
TLbXDYNNvAA
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Birkhäuser Advanced Texts Basler Lehrbücher,
  • Springer eBooks
  • Springer eBooks.
http://library.link/vocab/subjectName
  • Differentiable dynamical systems
  • Mechanics
Label
An Introduction to Hamiltonian Mechanics, by Gerardo F. Torres del Castillo, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-319-95225-3
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
Control code
978-3-319-95225-3
Dimensions
unknown
Extent
1 online resource (X, 366 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319952253
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
42 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1052613956
Label
An Introduction to Hamiltonian Mechanics, by Gerardo F. Torres del Castillo, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-319-95225-3
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
Control code
978-3-319-95225-3
Dimensions
unknown
Extent
1 online resource (X, 366 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319952253
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
42 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1052613956

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