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 contain small oscillations, movement in electrical and magnetic fields, and inflexible physique dynamics. The Hamilton-Jacobi method is constructed with precise recognition to the canonical transformation in an effort to offer a gentle and logical transition into the research of complicated 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 really outlines the significance of the paintings of Euler, Lagrange, Hamilton and Jacobi.
Numerous routines with ideas aid the really transparent and concise therapy of Analytical Mechanics.
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Analytical Mechanics (Undergraduate Lecture Notes in Physics) by Carl S. Helrich