000			02093nam a2200277Ia 4500
003			OSt
005			20251224105557.0
008			220909b |||||||| |||| 00| 0 eng d
020			_a9789814623629
037			_cTextual
040			_aCSL _beng _cCSL
041			_aeng
084			_aB70aC, Q5 CC6 _qCSL
100			_aBrizard, Alain J. _eauthor. _9859234
245		0	_aIntroduction to Lagrangian Mechanics
250			_a2nd
260			_aSingapore: _bWorld Scientific, _c2015.
300			_axviii, 305p. _b: ill.
500			_aBibliography 301-302p.; Index 303-305p.
520			_aAn Introduction to Lagrangian Mechanics begins with a proper historical perspective on the Lagrangian method by presenting Fermat's Principle of Least Time (as an introduction to the Calculus of Variations) as well as the principles of Maupertuis, Jacobi, and d'Alembert that preceded Hamilton's formulation of the Principle of Least Action, from which the Euler-Lagrange equations of motion are derived. Other additional topics not traditionally presented in undergraduate textbooks include the treatment of constraint forces in Lagrangian Mechanics; Routh's procedure for Lagrangian systems with symmetries; the art of numerical analysis for physical systems; variational formulations for several continuous Lagrangian systems; an introduction to elliptic functions with applications in Classical Mechanics; and Noncanonical Hamiltonian Mechanics and perturbation theory.The Second Edition includes a larger selection of examples and problems (with hints) in each chapter and continues the strong emphasis of the First Edition on the development and application of mathematical methods (mostly calculus) to the solution of problems in Classical Mechanics.New material has been added to most chapters.
650			_a Hamiltonian mechanics _9859235
650			_a Normal-mode analysis _9859236
650			_aRigid body motion _9859237
942			_hB70aC, Q5 CC6 _cTEXL _2CC _e2nd _n0
999			_c15891 _d15891