LEADER 02759nam 2200601 450 001 9910788874803321 005 20170918220804.0 010 $a1-4704-0859-7 035 $a(CKB)3360000000464620 035 $a(EBL)3113996 035 $a(SSID)ssj0000889179 035 $a(PQKBManifestationID)11488395 035 $a(PQKBTitleCode)TC0000889179 035 $a(PQKBWorkID)10875537 035 $a(PQKB)11550340 035 $a(MiAaPQ)EBC3113996 035 $a(RPAM)4359493 035 $a(PPN)195413199 035 $a(EXLCZ)993360000000464620 100 $a20140908h19901990 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aReduction, symmetry, and phases in mechanics /$fJ. E. Marsden, R. Montgomery, and T. Ratiu 210 1$aProvidence, Rhode Island, United States :$cAmerican Mathematical Society,$d1990. 210 4$dİ1990 215 $a1 online resource (118 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 88, Number 436 300 $a"November 1990, Volume 88, Number 436 (first of 2 numbers)"--Cover. 311 $a0-8218-2498-8 320 $aIncludes bibliographical references. 327 $a""Contents""; ""Introduction""; ""A?1 Some Examples""; ""A?2 Reconstruction of dynamics for Hamiltonian systems""; ""A?3 Reconstruction of dynamics for Lagrangian systems""; ""A?4 Ehresmann connections and holonomy""; ""A?5 Reconstruction phases""; ""A?6 Averaging connections""; ""A?7 Existence, uniqueness and curvature of the Hannay-Berry connections""; ""A?8 The Hannay-Berry connection in the presence of additional symmetry""; ""A?9 The Hannay-Berry connection on level sets of the momentum map""; ""A?10 Case I: Bundles of symplectic manifolds with the canonical connection 327 $aintegrable systems""""A?11 Case II: Cartan connections; moving systems""; ""A?12 The Cartan angles; the ball in the hoop and the Foucault pendulum""; ""A?13 Induced connections on the tower of bundles""; ""A?14 The Hannay-Berry connection for general systems""; ""References"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 88, Number 436. 606 $aMechanics, Analytic 606 $aSymmetry groups 606 $aHolonomy groups 615 0$aMechanics, Analytic. 615 0$aSymmetry groups. 615 0$aHolonomy groups. 676 $a531 700 $aMarsden$b Jerrold E.$07790 702 $aMontgomery$b R$g(Richard),$f1956- 702 $aRatiu$b T. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788874803321 996 $aReduction, symmetry, and phases in mechanics$93705618 997 $aUNINA