LEADER 03422nam 22005175 450 001 9910300551703321 005 20181123212751.0 010 $a981-13-3026-3 024 7 $a10.1007/978-981-13-3026-1 035 $a(CKB)4100000007158928 035 $a(MiAaPQ)EBC5603016 035 $a(DE-He213)978-981-13-3026-1 035 $a(EXLCZ)994100000007158928 100 $a20181123d2018 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLagrangian and Hamiltonian Analytical Mechanics: Forty Exercises Resolved and Explained$b[electronic resource] /$fby Vladimir Pletser 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2018. 215 $a1 online resource (138 pages) 225 1 $aUNITEXT for Physics,$x2198-7882 311 $a981-13-3025-5 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Lagrange equations -- Hamilton Equations -- First Integral and Variational Principle -- Canonical Transformations or Contact Transformations -- Hamilton-Jacobi Equations -- Phase Integral and Action-Angle Variables. 330 $aThis textbook introduces readers to the detailed and methodical resolution of classical and more recent problems in analytical mechanics. This valuable learning tool includes worked examples and 40 exercises with step-by-step solutions, carefully chosen for their importance in classical, celestial and quantum mechanics. The collection comprises six chapters, offering essential exercises on: (1) Lagrange Equations; (2) Hamilton Equations; (3) the First Integral and Variational Principle; (4) Canonical Transformations; (5) Hamilton ? Jacobi Equations; and (6) Phase Integral and Angular Frequencies Each chapter begins with a brief theoretical review before presenting the clearly solved exercises. The last two chapters are of particular interest, because of the importance and flexibility of the Hamilton-Jacobi method in solving many mechanical problems in classical mechanics, as well as quantum and celestial mechanics. Above all, the book provides students and teachers alike with detailed, point-by-point and step-by-step solutions of exercises in Lagrangian and Hamiltonian mechanics, which are central to most problems in classical physics, astronomy, celestial mechanics and quantum physics. 410 0$aUNITEXT for Physics,$x2198-7882 606 $aMechanics 606 $aMechanics, Applied 606 $aMathematical physics 606 $aClassical Mechanics$3http://scigraph.springernature.com/things/product-market-codes/P21018 606 $aTheoretical and Applied Mechanics$3http://scigraph.springernature.com/things/product-market-codes/T15001 606 $aMathematical Methods in Physics$3http://scigraph.springernature.com/things/product-market-codes/P19013 615 0$aMechanics. 615 0$aMechanics, Applied. 615 0$aMathematical physics. 615 14$aClassical Mechanics. 615 24$aTheoretical and Applied Mechanics. 615 24$aMathematical Methods in Physics. 676 $a531 700 $aPletser$b Vladimir$4aut$4http://id.loc.gov/vocabulary/relators/aut$0835672 906 $aBOOK 912 $a9910300551703321 996 $aLagrangian and Hamiltonian Analytical Mechanics: Forty Exercises Resolved and Explained$91868316 997 $aUNINA