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 functions contain small oscillations, movement in electrical and magnetic fields, and inflexible physique dynamics. The Hamilton-Jacobi procedure is constructed with targeted realization to the canonical transformation for you to offer a soft and logical transition into the learn of complicated and chaotic structures. ultimately 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 relatively outlines the significance of the paintings of Euler, Lagrange, Hamilton and Jacobi.
Numerous workouts with options aid the quite transparent and concise therapy of Analytical Mechanics.
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Analytical Mechanics (Undergraduate Lecture Notes in Physics) by Carl S. Helrich