By Carl S. Helrich
This complex 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 comprise small oscillations, movement in electrical and magnetic fields, and inflexible physique dynamics. The Hamilton-Jacobi procedure is constructed with particular recognition to the canonical transformation which will supply a tender and logical transition into the examine of advanced 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 heritage of mechanics, which fairly outlines the significance of the paintings of Euler, Lagrange, Hamilton and Jacobi.
Numerous workouts with ideas aid the incredibly transparent and concise therapy of Analytical Mechanics.
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Analytical Mechanics (Undergraduate Lecture Notes in Physics) by Carl S. Helrich