By Carl S. Helrich
This complicated undergraduate textbook starts with the Lagrangian formula of Analytical Mechanics after which passes on to the Hamiltonian formula and the canonical equations, with constraints integrated via Lagrange multipliers. Hamilton's precept and the canonical equations stay the root of the rest of the text.
Topics thought of for functions contain small oscillations, movement in electrical and magnetic fields, and inflexible physique dynamics. The Hamilton-Jacobi technique is built with unique recognition to the canonical transformation for you to offer a gentle and logical transition into the research of advanced and chaotic platforms. ultimately the textual content has a cautious remedy of relativistic mechanics and the requirement of Lorentz invariance.
The textual content is enriched with an overview of the historical past of mechanics, which rather outlines the significance of the paintings of Euler, Lagrange, Hamilton and Jacobi.
Numerous workouts with strategies help the highly transparent and concise therapy of Analytical Mechanics.
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Extra resources for Analytical Mechanics (Undergraduate Lecture Notes in Physics)
Analytical Mechanics (Undergraduate Lecture Notes in Physics) by Carl S. Helrich