03426nam 22005175 450 991030055170332120181123212751.0981-13-3026-310.1007/978-981-13-3026-1(CKB)4100000007158928(MiAaPQ)EBC5603016(DE-He213)978-981-13-3026-1(EXLCZ)99410000000715892820181123d2018 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierLagrangian and Hamiltonian Analytical Mechanics: Forty Exercises Resolved and Explained[electronic resource] /by Vladimir PletserSingapore :Springer Singapore :Imprint: Springer,2018.1 online resource (138 pages)UNITEXT for Physics,2198-7882981-13-3025-5 Includes bibliographical references and index.Introduction -- Lagrange equations -- Hamilton Equations -- First Integral and Variational Principle -- Canonical Transformations or Contact Transformations -- Hamilton-Jacobi Equations -- Phase Integral and Action-Angle Variables.This 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.UNITEXT for Physics,2198-7882MechanicsMechanics, appliedMathematical physicsClassical Mechanicshttp://scigraph.springernature.com/things/product-market-codes/P21018Theoretical and Applied Mechanicshttp://scigraph.springernature.com/things/product-market-codes/T15001Mathematical Methods in Physicshttp://scigraph.springernature.com/things/product-market-codes/P19013Mechanics.Mechanics, applied.Mathematical physics.Classical Mechanics.Theoretical and Applied Mechanics.Mathematical Methods in Physics.531Pletser Vladimirauthttp://id.loc.gov/vocabulary/relators/aut835672BOOK9910300551703321Lagrangian and Hamiltonian Analytical Mechanics: Forty Exercises Resolved and Explained1868316UNINA