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The Resource An introduction to Hamiltonian mechanics, Gerardo F. Torres del Castillo

An introduction to Hamiltonian mechanics, Gerardo F. Torres del Castillo

Label
An introduction to Hamiltonian mechanics
Title
An introduction to Hamiltonian mechanics
Statement of responsibility
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
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1956-
http://library.link/vocab/creatorName
Torres del Castillo, G. F.
Dewey number
515/.39
Illustrations
illustrations
Index
index present
LC call number
QA614.83
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Birkhäuser advanced texts Basler Lehrbücher,
http://library.link/vocab/subjectName
Hamiltonian systems
Label
An introduction to Hamiltonian mechanics, Gerardo F. Torres del Castillo
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
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
1 online resource (x, 366 pages)
File format
unknown
Form of item
online
Isbn
9783319952246
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-95225-3
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
Label
An introduction to Hamiltonian mechanics, Gerardo F. Torres del Castillo
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
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
1 online resource (x, 366 pages)
File format
unknown
Form of item
online
Isbn
9783319952246
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-95225-3
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote

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