EAN: 9783319444901

UNDERGRADUATE LECTURE NOTES IN PHYSICS ANALYT...

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. 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.

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