By Carl S. Helrich
This complex 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 foundation 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 constructed with exact recognition to the canonical transformation which will offer a delicate and logical transition into the research of advanced and chaotic platforms. eventually the textual content has a cautious therapy of relativistic mechanics and the requirement of Lorentz invariance.
The textual content is enriched with an overview of the historical past of mechanics, which really outlines the significance of the paintings of Euler, Lagrange, Hamilton and Jacobi.
Numerous workouts with suggestions aid the awfully transparent and concise therapy of Analytical Mechanics.
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Analytical Mechanics (Undergraduate Lecture Notes in Physics) by Carl S. Helrich