000			01404cam a22001455i 4500
020			_a9783319444901
082			_a531.01515 _bHEL/A
100			_aHelrich, Carl S
245	0	0	_aAnalytical mechanics
260			_aSwitzerland _bSpringer _c2017
300			_a349 p.
520			_aThis advanced undergraduate textbook begins with the Lagrangian formulation of Analytical Mechanics and then passes directly to the Hamiltonian formulation and the canonical equations, with constraints incorporated through Lagrange multipliers. Hamilton's Principle and the canonical equations remain the basis of the remainder of the text. Topics considered for applications include small oscillations, motion in electric and magnetic fields, and rigid body dynamics. The Hamilton-Jacobi approach is developed with special attention to the canonical transformation in order to provide a smooth and logical transition into the study of complex and chaotic systems. Finally the text has a careful treatment of relativistic mechanics and the requirement of Lorentz invariance. The text is enriched with an outline of the history of mechanics, which particularly outlines the importance of the work of Euler, Lagrange, Hamilton and Jacobi. Numerous exercises with solutions support the exceptionally clear and concise treatment of Analytical Mechanics.
650			_aMechanics, Analytic _aMechanics, Applied
942			_cBK
999			_c59811 _d59811