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Analytical Mechanics
Introduction
This 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.
Applications and Topics
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.
Historical Context
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.
Exercises
Numerous exercises with solutions support the exceptionally clear and concise treatment of Analytical Mechanics.
