LEADER 05762nam 22007815 450 001 9910299771003321 005 20200707023031.0 010 $a1-4939-2441-9 024 7 $a10.1007/978-1-4939-2441-7 035 $a(CKB)3710000000402561 035 $a(EBL)2095797 035 $a(SSID)ssj0001501493 035 $a(PQKBManifestationID)11896728 035 $a(PQKBTitleCode)TC0001501493 035 $a(PQKBWorkID)11446085 035 $a(PQKB)10454942 035 $a(DE-He213)978-1-4939-2441-7 035 $a(MiAaPQ)EBC2095797 035 $a(PPN)185487815 035 $a(EXLCZ)993710000000402561 100 $a20150416d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aGeometry, Mechanics, and Dynamics$b[electronic resource] $eThe Legacy of Jerry Marsden /$fedited by Dong Eui Chang, Darryl D. Holm, George Patrick, Tudor Ratiu 205 $a1st ed. 2015. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2015. 215 $a1 online resource (506 p.) 225 1 $aFields Institute Communications,$x1069-5265 ;$v73 300 $aDescription based upon print version of record. 311 $a1-4939-2440-0 320 $aIncludes bibliographical references. 327 $aA 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). 330 $aThis book illustrates the broad range of Jerry Marsden?s mathematical legacy in areas of geometry, mechanics, and dynamics, from very pure mathematics to very applied, but always with a geometric perspective. Each contribution develops its material from the viewpoint of geometric mechanics beginning at the very foundations, introducing readers to modern issues via illustrations in a wide range of topics. The twenty refereed papers contained in this volume are based on lectures and research performed during the month of July 2012 at the Fields Institute for Research in Mathematical Sciences, in a program in honor of Marsden's legacy. The unified treatment of the wide breadth of topics treated in this book will be of interest to both experts and novices in geometric mechanics. Experts will recognize applications of their own familiar concepts and methods in a wide variety of fields, some of which they may never have approached from a geometric viewpoint. Novices may choose topics that interest them among the various fields and learn about geometric approaches and perspectives toward those topics that will be new for them as well. 410 0$aFields Institute Communications,$x1069-5265 ;$v73 606 $aDynamics 606 $aErgodic theory 606 $aDifferential geometry 606 $aComputer science?Mathematics 606 $aComputer mathematics 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 606 $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022 606 $aMath Applications in Computer Science$3https://scigraph.springernature.com/ontologies/product-market-codes/I17044 606 $aMathematical Applications in Computer Science$3https://scigraph.springernature.com/ontologies/product-market-codes/M13110 615 0$aDynamics. 615 0$aErgodic theory. 615 0$aDifferential geometry. 615 0$aComputer science?Mathematics. 615 0$aComputer mathematics. 615 14$aDynamical Systems and Ergodic Theory. 615 24$aDifferential Geometry. 615 24$aMath Applications in Computer Science. 615 24$aMathematical Applications in Computer Science. 676 $a004.0151 676 $a510 676 $a515.39 676 $a515.48 676 $a516.36 702 $aChang$b Dong Eui$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aHolm$b Darryl D$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aPatrick$b George$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aRatiu$b Tudor$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910299771003321 996 $aGeometry, mechanics, and dynamics$91522431 997 $aUNINA