The Resource The Principle of Least Action in Geometry and Dynamics, by Karl Friedrich Siburg, (electronic resource)

The Principle of Least Action in Geometry and Dynamics, by Karl Friedrich Siburg, (electronic resource)

Label
The Principle of Least Action in Geometry and Dynamics
Title
The Principle of Least Action in Geometry and Dynamics
Statement of responsibility
by Karl Friedrich Siburg
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
New variational methods by Aubry, Mather, and Mane, discovered in the last twenty years, gave deep insight into the dynamics of convex Lagrangian systems. This book shows how this Principle of Least Action appears in a variety of settings (billiards, length spectrum, Hofer geometry, modern symplectic geometry). Thus, topics from modern dynamical systems and modern symplectic geometry are linked in a new and sometimes surprising way. The central object is Mather’s minimal action functional. The level is for graduate students onwards, but also for researchers in any of the subjects touched in the book
Member of
http://library.link/vocab/creatorName
Siburg, Karl Friedrich
Image bit depth
0
LC call number
QA313
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Lecture Notes in Mathematics,
Series volume
1844
http://library.link/vocab/subjectName
  • Mathematics
  • Differentiable dynamical systems
  • Global analysis
  • Global differential geometry
  • Mathematics
  • Dynamical Systems and Ergodic Theory
  • Differential Geometry
  • Global Analysis and Analysis on Manifolds
Label
The Principle of Least Action in Geometry and Dynamics, by Karl Friedrich Siburg, (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
Aubry-Mather Theory -- Mather-Mané Theory -- The Minimal Action and Convex Billiards -- The Minimal Action Near Fixed Points and Invariant Tori -- The Minimal Action and Hofer's Geometry -- The Minimal Action and Symplectic Geometry -- References -- Index
Dimensions
unknown
Extent
XII, 136 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783540409854
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/b97327
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-40985-4
Label
The Principle of Least Action in Geometry and Dynamics, by Karl Friedrich Siburg, (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
Aubry-Mather Theory -- Mather-Mané Theory -- The Minimal Action and Convex Billiards -- The Minimal Action Near Fixed Points and Invariant Tori -- The Minimal Action and Hofer's Geometry -- The Minimal Action and Symplectic Geometry -- References -- Index
Dimensions
unknown
Extent
XII, 136 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783540409854
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/b97327
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-40985-4

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