Analytical Mechanics (Undergraduate Lecture Notes in by Carl S. Helrich

By Carl S. Helrich

This complicated undergraduate textbook starts off with the Lagrangian formula of Analytical Mechanics after which passes on to the Hamiltonian formula and the canonical equations, with constraints included via Lagrange multipliers. Hamilton's precept and the canonical equations stay the root of the rest of the text.

Topics thought of for purposes contain small oscillations, movement in electrical and magnetic fields, and inflexible physique dynamics. The Hamilton-Jacobi procedure is built with distinct awareness to the canonical transformation in an effort to supply a gentle and logical transition into the examine of advanced and chaotic structures. eventually the textual content has a cautious remedy of relativistic mechanics and the requirement of Lorentz invariance.

The textual content is enriched with an summary of the historical past of mechanics, which rather outlines the significance of the paintings of Euler, Lagrange, Hamilton and Jacobi.

Numerous workouts with suggestions help the really transparent and concise therapy of Analytical Mechanics.

 

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