03232nam 22006134a 450 991045107320332120200520144314.01-280-96502-90-19-151359-8(CKB)1000000000409467(EBL)422398(OCoLC)476256837(SSID)ssj0000103053(PQKBManifestationID)11122630(PQKBTitleCode)TC0000103053(PQKBWorkID)10060436(PQKB)11594753(MiAaPQ)EBC422398(PPN)181482355(Au-PeEL)EBL422398(CaPaEBR)ebr10177932(CaONFJC)MIL96502(EXLCZ)99100000000040946720051001d2006 uy 0engur|n|---|||||txtccrAnalytical mechanics[electronic resource] an introduction /Antonio Fasano, Stefano Marmi ; translated by Beatrice PelloniOxford ;New York Oxford University Pressc20061 online resource (788 p.)Oxford graduate textsSeries statement from jacket.0-19-967385-3 0-19-850802-6 Includes bibliographical references (p. [749]-758) and index.Contents; 1 Geometric and kinematic foundations of Lagrangian mechanics; 2 Dynamics: general laws and the dynamics of a point particle; 3 One-dimensional motion; 4 The dynamics of discrete systems. Lagrangian formalism; 5 Motion in a central field; 6 Rigid bodies: geometry and kinematics; 7 The mechanics of rigid bodies: dynamics; 8 Analytical mechanics: Hamiltonian formalism; 9 Analytical mechanics: variational principles; 10 Analytical mechanics: canonical formalism; 11 Analytic mechanics: Hamilton-Jacobi theory and integrability; 12 Analytical mechanics: canonical perturbation theory13 Analytical mechanics: an introduction to ergodic theory and to chaotic motion14 Statistical mechanics: kinetic theory; 15 Statistical mechanics: Gibbs sets; 16 Lagrangian formalism in continuum mechanics; Appendices; Bibliography; IndexIs the solar system stable? Is there a unifying 'economy' principle in mechanics? How can a pointmass be described as a 'wave'? This book offers students an understanding of the most relevant and far reaching results of the theory of Analytical Mechanics, including plenty of examples, exercises, and solved problems. - ;Analytical Mechanics is the investigation of motion with the rigorous tools of mathematics. Rooted in the works of Lagrange, Euler, Poincar--eacute--; (to mention just a few), it is a very classical subject with fascinating developments and still rich of open problems. It addresOxford graduate texts.Mechanics, AnalyticElectronic books.Mechanics, Analytic.531.01/515Fasano A(Antonio)40516Marmi S(Stefano),1963-42049MiAaPQMiAaPQMiAaPQBOOK9910451073203321Analytical mechanics1418763UNINA