LEADER 03980nam 22006975 450 001 9910254092103321 005 20200704054559.0 010 $a3-319-33503-0 024 7 $a10.1007/978-3-319-33503-2 035 $a(CKB)3710000000926146 035 $a(DE-He213)978-3-319-33503-2 035 $a(MiAaPQ)EBC6312031 035 $a(MiAaPQ)EBC5590775 035 $a(Au-PeEL)EBL5590775 035 $a(OCoLC)1026462873 035 $a(PPN)196323576 035 $a(EXLCZ)993710000000926146 100 $a20161028d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGeometry and Dynamics of Integrable Systems /$fby Alexey Bolsinov, Juan J. Morales-Ruiz, Nguyen Tien Zung ; edited by Eva Miranda, Vladimir Matveev 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2016. 215 $a1 online resource (VIII, 140 p. 22 illus., 3 illus. in color.) 225 1 $aAdvanced Courses in Mathematics - CRM Barcelona,$x2297-0304 311 $a3-319-33502-2 327 $aIntegrable Systems and Differential Galois Theory -- Singularities of bi-Hamiltonian Systems and Stability Analysis -- Geometry of Integrable non-Hamiltonian Systems. 330 $aBased on lectures given at an advanced course on integrable systems at the Centre de Recerca Matemàtica in Barcelona, these lecture notes address three major aspects of integrable systems: obstructions to integrability from differential Galois theory; the description of singularities of integrable systems on the basis of their relation to bi-Hamiltonian systems; and the generalization of integrable systems to the non-Hamiltonian settings. All three sections were written by top experts in their respective fields. Native to actual problem-solving challenges in mechanics, the topic of integrable systems is currently at the crossroads of several disciplines in pure and applied mathematics, and also has important interactions with physics. The study of integrable systems also actively employs methods from differential geometry. Moreover, it is extremely important in symplectic geometry and Hamiltonian dynamics, and has strong correlations with mathematical physics, Lie theory and algebraic geometry (including mirror symmetry). As such, the book will appeal to experts with a wide range of backgrounds. 410 0$aAdvanced Courses in Mathematics - CRM Barcelona,$x2297-0304 606 $aDynamics 606 $aErgodic theory 606 $aGeometry, Differential 606 $aAlgebra 606 $aField theory (Physics) 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 $aField Theory and Polynomials$3https://scigraph.springernature.com/ontologies/product-market-codes/M11051 615 0$aDynamics. 615 0$aErgodic theory. 615 0$aGeometry, Differential. 615 0$aAlgebra. 615 0$aField theory (Physics) 615 14$aDynamical Systems and Ergodic Theory. 615 24$aDifferential Geometry. 615 24$aField Theory and Polynomials. 676 $a516.35 700 $aBolsinov$b Alexey$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755931 702 $aMorales-Ruiz$b Juan J$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aZung$b Nguyen Tien$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aMiranda$b Eva$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aMatveev$b Vladimir$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254092103321 996 $aGeometry and Dynamics of Integrable Systems$92174087 997 $aUNINA