Classical Mechanics Ebook Pdf Download Free
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Two dramatically different philosophical approaches to classical mechanics were proposed during the 17th-18th centuries. Newton developed his vectorial formulation that uses time-dependent differential equations of motion to relate vector observables like force and rate of change of momentum. Euler, Lagrange, Hamilton, and Jacobi, developed powerful alternative variational formulations based on the assumption that nature follows the principle of least action. These variational formulations now play a pivotal role in science and engineering.
This book introduces the variational principles, and their application to classical mechanics. The relative merits of the intuitive Newtonian vectorial formulation, and the more powerful variational formulations, are compared. Applications to a wide variety of topics are used to illustrate the intellectual beauty, remarkable power, and broad scope provided by use of variational principles in physics.
A new "phase invariant" equation of motion for both microscopic and macroscopic objects is proposed. It reduces to the probabilistic wave equation for small masses and the deterministic classical equation for large masses. The motions of mesoscopic objects and fuzzy transitions between quantum and classical mechanics are discussed on the basis of the generalized equation. Experimental tests of new predictions are discussed. 2b1af7f3a8