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)
Resource Information
The item Geometry, Mechanics, and Dynamics : The Legacy of Jerry Marsden, edited by Dong Eui Chang, Darryl D. Holm, George Patrick, Tudor Ratiu, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Geometry, Mechanics, and Dynamics : The Legacy of Jerry Marsden, edited by Dong Eui Chang, Darryl D. Holm, George Patrick, Tudor Ratiu, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
- 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
- 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
- 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
- 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
- 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)
- 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)
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.eui.eu/portal/Geometry-Mechanics-and-Dynamics--The-Legacy-of/01jSBnHMsik/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/Geometry-Mechanics-and-Dynamics--The-Legacy-of/01jSBnHMsik/">Geometry, Mechanics, and Dynamics : The Legacy of Jerry Marsden, edited by Dong Eui Chang, Darryl D. Holm, George Patrick, Tudor Ratiu, (electronic resource)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>