000			00356nam a2200133Ia 4500
999			_c1511 _d1511
003			OSt
005			20210824113151.0
008			210730s9999 xx 000 0 und d
020			_a9789814623612
040			_cIISER Bpr
082			_a515.64 _bBRI
100			_aBrizard, Alain J.
245			_aIntroduction to lagrangian mechanics, (2nd ed) _cAlain J Brizard
250			_a2nd ed
260			_bWorld Scientific _aNew Jersey _c2015
300			_a324p.
500			_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.
650			_aHamiltonian systems
650			_aLagrangian functions
942			_cBK _2ddc