LEADER 03641nam 22006015 450 001 9910300139603321 005 20200705091820.0 010 $a3-319-95225-0 024 7 $a10.1007/978-3-319-95225-3 035 $a(CKB)4100000006519779 035 $a(DE-He213)978-3-319-95225-3 035 $a(MiAaPQ)EBC6310791 035 $a(PPN)230539505 035 $a(EXLCZ)994100000006519779 100 $a20180908d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 13$aAn Introduction to Hamiltonian Mechanics$b[electronic resource] /$fby Gerardo F. Torres del Castillo 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2018. 215 $a1 online resource (X, 366 p. 42 illus.) 225 1 $aBirkhäuser Advanced Texts Basler Lehrbücher,$x1019-6242 311 $a3-319-95224-2 320 $aIncludes bibliographical references and index. 327 $aPreface -- The Lagrangian Formalism -- Some Applications of the Lagrangian Formalism -- Rigid Bodies -- The Hamiltonian Formalism -- Canonical Transformations -- The Hamilton?Jacobi Formalism -- Solutions -- References -- Index. 330 $aThis textbook examines the Hamiltonian formulation in classical mechanics with the basic mathematical tools of multivariate calculus. It explores topics like variational symmetries, canonoid transformations, and geometrical optics that are usually omitted from an introductory classical mechanics course. For students with only a basic knowledge of mathematics and physics, this book makes those results accessible through worked-out examples and well-chosen exercises. For readers not familiar with Lagrange equations, the first chapters are devoted to the Lagrangian formalism and its applications. Later sections discuss canonical transformations, the Hamilton?Jacobi equation, and the Liouville Theorem on solutions of the Hamilton?Jacobi equation. Graduate and advanced undergraduate students in physics or mathematics who are interested in mechanics and applied math will benefit from this treatment of analytical mechanics. The text assumes the basics of classical mechanics, as well as linear algebra, differential calculus, elementary differential equations and analytic geometry. Designed for self-study, this book includes detailed examples and exercises with complete solutions, although it can also serve as a class text. 410 0$aBirkhäuser Advanced Texts Basler Lehrbücher,$x1019-6242 606 $aDynamics 606 $aErgodic theory 606 $aMechanics 606 $aMathematical physics 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 606 $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 615 0$aDynamics. 615 0$aErgodic theory. 615 0$aMechanics. 615 0$aMathematical physics. 615 14$aDynamical Systems and Ergodic Theory. 615 24$aClassical Mechanics. 615 24$aMathematical Physics. 676 $a515.39 700 $aTorres del Castillo$b Gerardo F$4aut$4http://id.loc.gov/vocabulary/relators/aut$0768202 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300139603321 996 $aIntroduction to Hamiltonian Mechanics$91564650 997 $aUNINA