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The Resource Geometry, Mechanics, and Dynamics : The Legacy of Jerry Marsden, edited by Dong Eui Chang, Darryl D. Holm, George Patrick, Tudor Ratiu, (electronic resource)

Geometry, Mechanics, and Dynamics : The Legacy of Jerry Marsden, edited by Dong Eui Chang, Darryl D. Holm, George Patrick, Tudor Ratiu, (electronic resource)

Editor
Contributor
Summary
This book illustrates the broad range of Jerry Marsden's mathematical legacy in areas of geometry, mechanics, and dynamics, from very pure mathematics to very applied, but always with a geometric perspective. Each contribution develops its material from the viewpoint of geometric mechanics beginning at the very foundations, introducing readers to modern issues via illustrations in a wide range of topics. The twenty refereed papers contained in this volume are based on lectures and research performed during the month of July 2012 at the Fields Institute for Research in Mathematical Sciences, in a program in honor of Marsden's legacy. The unified treatment of the wide breadth of topics treated in this book will be of interest to both experts and novices in geometric mechanics. Experts will recognize applications of their own familiar concepts and methods in a wide variety of fields, some of which they may never have approached from a geometric viewpoint. Novices may choose topics that interest them among the various fields and learn about geometric approaches and perspectives toward those topics that will be new for them as well
Language
eng
Work
Publication
Extent
VIII, 506 p. 74 illus., 25 illus. in color.
Contents
  • A Global Version of the Koon-Marsden Jacobiator Formula (P. Balsiero)
  • Geometry of Image Registration (M. Bruveris, D.D. Holm)
  • Multisymplectic Geometry and Lie Groupoids (H. Bursztyn, A. Cabrera, D. Iglesias)
  • The Topology of Change (G. Chichilnisky)
  • Chaos in the Kepler Problem with Quadrupole Perturbations (G. Depetri, A. Saa)
  • Groups of Diffeomorphisms and Fluid Motion (D.G. Ebin)
  • Dual Pairs For Non-Abelian Fluids (F. Gay-Balmaz)
  • The Role of SE(d)-Reduction For Swimming in Stokes and Navier-Stokes Fluids (H.O. Jacobs)
  • Lagrangian Mechanics on Centered Semi-Direct Products (L. Colombo, H.O. Jacobs)
  • Vortices on Closed Surfaces (S. Boatto, J. Koiller)
  • The Geometry of Radiative Transfer (C. Lessig, A.L. Castro)
  • A Soothing Invisible Hand: Moderation Potentials in Optimal Control (D. Lewis)
  • The Local Description of Discrete Mechanics (J.C. Marrero, D. Martin de Diego, E. Martinez)
  • Keplerian Dynamics on the Heisenberg Group and Elsewhere (R. Montgomery, C. Shanbrom)
  • On the Completeness of Trajectories for Some Mechanical Systems (M. Sanchez)
  • Diffeomorphic Image Matching with Left-Invariant Metrics (T. Schmah, L. Risser, F.-X. Vialard)
  • Normal Forms for Lie Symmetric Cotangent Bundle Systems with Free and Proper Actions (T. Schmah, C. Stoica)
  • Polite Actions of Non-Compact Lie Groups (L. Bates, J. Sniaticki)
  • Geometric Computational Electrodynamics with Variational Integrators and Discrete Differential Forms (A. Stern, Y. Tong, M. Desbrun, J.E. Marsden)
  • Hamel's Formalism and Variational Integrators (K.R. Ball, D.V. Zenkov)
Isbn
9781493924417
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-1-4939-2441-7
Instance
Label
Geometry, Mechanics, and Dynamics : The Legacy of Jerry Marsden
Title
Geometry, Mechanics, and Dynamics
Title remainder
The Legacy of Jerry Marsden
Statement of responsibility
edited by Dong Eui Chang, Darryl D. Holm, George Patrick, Tudor Ratiu
Contributor
Editor
Subject
Language
eng
Summary
This book illustrates the broad range of Jerry Marsden's mathematical legacy in areas of geometry, mechanics, and dynamics, from very pure mathematics to very applied, but always with a geometric perspective. Each contribution develops its material from the viewpoint of geometric mechanics beginning at the very foundations, introducing readers to modern issues via illustrations in a wide range of topics. The twenty refereed papers contained in this volume are based on lectures and research performed during the month of July 2012 at the Fields Institute for Research in Mathematical Sciences, in a program in honor of Marsden's legacy. The unified treatment of the wide breadth of topics treated in this book will be of interest to both experts and novices in geometric mechanics. Experts will recognize applications of their own familiar concepts and methods in a wide variety of fields, some of which they may never have approached from a geometric viewpoint. Novices may choose topics that interest them among the various fields and learn about geometric approaches and perspectives toward those topics that will be new for them as well
Member of
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Chang, Dong Eui.
  • Holm, Darryl D.
  • Patrick, George.
  • Ratiu, Tudor.
  • SpringerLink (Online service)
Series statement
Fields Institute Communications,
Series volume
73
http://library.link/vocab/subjectName
  • Mathematics
  • Computer science
  • Dynamics
  • Ergodic theory
  • Computer mathematics
  • Differential geometry
Label
Geometry, Mechanics, and Dynamics : The Legacy of Jerry Marsden, edited by Dong Eui Chang, Darryl D. Holm, George Patrick, Tudor Ratiu, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-1-4939-2441-7
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
A Global Version of the Koon-Marsden Jacobiator Formula (P. Balsiero) -- Geometry of Image Registration (M. Bruveris, D.D. Holm) -- Multisymplectic Geometry and Lie Groupoids (H. Bursztyn, A. Cabrera, D. Iglesias) -- The Topology of Change (G. Chichilnisky) -- Chaos in the Kepler Problem with Quadrupole Perturbations (G. Depetri, A. Saa) -- Groups of Diffeomorphisms and Fluid Motion (D.G. Ebin) -- Dual Pairs For Non-Abelian Fluids (F. Gay-Balmaz) -- The Role of SE(d)-Reduction For Swimming in Stokes and Navier-Stokes Fluids (H.O. Jacobs) -- Lagrangian Mechanics on Centered Semi-Direct Products (L. Colombo, H.O. Jacobs) -- Vortices on Closed Surfaces (S. Boatto, J. Koiller) -- The Geometry of Radiative Transfer (C. Lessig, A.L. Castro) -- A Soothing Invisible Hand: Moderation Potentials in Optimal Control (D. Lewis) -- The Local Description of Discrete Mechanics (J.C. Marrero, D. Martin de Diego, E. Martinez) -- Keplerian Dynamics on the Heisenberg Group and Elsewhere (R. Montgomery, C. Shanbrom) -- On the Completeness of Trajectories for Some Mechanical Systems (M. Sanchez) -- Diffeomorphic Image Matching with Left-Invariant Metrics (T. Schmah, L. Risser, F.-X. Vialard) -- Normal Forms for Lie Symmetric Cotangent Bundle Systems with Free and Proper Actions (T. Schmah, C. Stoica) -- Polite Actions of Non-Compact Lie Groups (L. Bates, J. Sniaticki) -- Geometric Computational Electrodynamics with Variational Integrators and Discrete Differential Forms (A. Stern, Y. Tong, M. Desbrun, J.E. Marsden) -- Hamel's Formalism and Variational Integrators (K.R. Ball, D.V. Zenkov)
Control code
978-1-4939-2441-7
Dimensions
unknown
Extent
VIII, 506 p. 74 illus., 25 illus. in color.
File format
multiple file formats
Form of item
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
9781493924417
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-1-4939-2441-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086440494
Label
Geometry, Mechanics, and Dynamics : The Legacy of Jerry Marsden, edited by Dong Eui Chang, Darryl D. Holm, George Patrick, Tudor Ratiu, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-1-4939-2441-7
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
A Global Version of the Koon-Marsden Jacobiator Formula (P. Balsiero) -- Geometry of Image Registration (M. Bruveris, D.D. Holm) -- Multisymplectic Geometry and Lie Groupoids (H. Bursztyn, A. Cabrera, D. Iglesias) -- The Topology of Change (G. Chichilnisky) -- Chaos in the Kepler Problem with Quadrupole Perturbations (G. Depetri, A. Saa) -- Groups of Diffeomorphisms and Fluid Motion (D.G. Ebin) -- Dual Pairs For Non-Abelian Fluids (F. Gay-Balmaz) -- The Role of SE(d)-Reduction For Swimming in Stokes and Navier-Stokes Fluids (H.O. Jacobs) -- Lagrangian Mechanics on Centered Semi-Direct Products (L. Colombo, H.O. Jacobs) -- Vortices on Closed Surfaces (S. Boatto, J. Koiller) -- The Geometry of Radiative Transfer (C. Lessig, A.L. Castro) -- A Soothing Invisible Hand: Moderation Potentials in Optimal Control (D. Lewis) -- The Local Description of Discrete Mechanics (J.C. Marrero, D. Martin de Diego, E. Martinez) -- Keplerian Dynamics on the Heisenberg Group and Elsewhere (R. Montgomery, C. Shanbrom) -- On the Completeness of Trajectories for Some Mechanical Systems (M. Sanchez) -- Diffeomorphic Image Matching with Left-Invariant Metrics (T. Schmah, L. Risser, F.-X. Vialard) -- Normal Forms for Lie Symmetric Cotangent Bundle Systems with Free and Proper Actions (T. Schmah, C. Stoica) -- Polite Actions of Non-Compact Lie Groups (L. Bates, J. Sniaticki) -- Geometric Computational Electrodynamics with Variational Integrators and Discrete Differential Forms (A. Stern, Y. Tong, M. Desbrun, J.E. Marsden) -- Hamel's Formalism and Variational Integrators (K.R. Ball, D.V. Zenkov)
Control code
978-1-4939-2441-7
Dimensions
unknown
Extent
VIII, 506 p. 74 illus., 25 illus. in color.
File format
multiple file formats
Form of item
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
9781493924417
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-1-4939-2441-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086440494

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