LEADER 02369nam 2200469 450 001 9910794005003321 005 20230803042816.0 010 $a3-8325-8741-1 035 $a(CKB)4100000011338343 035 $a(MiAaPQ)EBC6243256 035 $a6026adf5-db04-4baa-8bcd-4fa7b0dd2d03 035 $a(EXLCZ)994100000011338343 100 $a20201021d2013 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDynamical systems and classical mechanics $electure notes /$fMatteo Petrera 210 1$aBerlin :$cLogos Verlag,$d[2013] 210 4$dİ2013 215 $a1 online resource (268 pages) 225 1 $aMathematical Physics ;$v1 300 $aPublicationDate: 20131210 311 $a3-8325-3569-1 330 $aLong description: These Lecture Notes provide an introduction to the theory of finite-dimensional dynamical systems. The first part presents the main classical results about continuous time dynamical systems with a finite number of degrees of freedom. Among the topics covered are: initial value problems, geometrical methods in the theory of ordinary differential equations, stability theory, aspects of local bifurcation theory. The second part is devoted to the Lagrangian and Hamiltonian formulation of finite-dimensional dynamical systems, both on Euclidean spaces and smooth manifolds. The main topics are: variational formulation of Newtonian mechanics, canonical Hamiltonian mechanics, theory of canonical transformations, introduction to mechanics on Poisson and symplectic manifolds. The material is presented in a way that is at once intuitive, systematic and mathematically rigorous. The theoretical part is supplemented with many concrete examples and exercises. 410 0$aMathematical physics (Series) ;$v1. 606 $aDifferentiable dynamical systems 606 $aLagrange equations 606 $aHamiltonian systems 615 0$aDifferentiable dynamical systems. 615 0$aLagrange equations. 615 0$aHamiltonian systems. 676 $a515.352 700 $aPetrera$b Matteo$01478653 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910794005003321 996 $aDynamical systems and classical mechanics$93694423 997 $aUNINA