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 integrated via Lagrange multipliers. Hamilton's precept and the canonical equations stay the root 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 process is constructed with distinctive cognizance to the canonical transformation as a way to supply a delicate and logical transition into the learn of complicated 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 background of mechanics, which really outlines the significance of the paintings of Euler, Lagrange, Hamilton and Jacobi.
Numerous routines with strategies help the quite transparent and concise therapy of Analytical Mechanics.
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Extra resources for Analytical Mechanics (Undergraduate Lecture Notes in Physics)
Analytical Mechanics (Undergraduate Lecture Notes in Physics) by Carl S. Helrich