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 included via Lagrange multipliers. Hamilton's precept and the canonical equations stay the foundation of the rest of the text.
Topics thought of for functions comprise small oscillations, movement in electrical and magnetic fields, and inflexible physique dynamics. The Hamilton-Jacobi technique is constructed with particular realization to the canonical transformation so one can supply a gentle and logical transition into the examine of complicated and chaotic platforms. 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 really outlines the significance of the paintings of Euler, Lagrange, Hamilton and Jacobi.
Numerous workouts with strategies help the incredibly transparent and concise remedy of Analytical Mechanics.
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Analytical Mechanics (Undergraduate Lecture Notes in Physics) by Carl S. Helrich