Emmanuele DiBenedetto
Gebundenes Buch

Classical Mechanics

Theory and Mathematical Modeling

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Classical mechanics is a chief example of the scientific method organizing a "complex"collection of information into theoretically rigorous, unifying principles; in this sense, mechanics represents one of the highest forms of mathematical modeling. This textbook covers standard topics of a mechanics course, namely, the mechanics of rigid bodies, Lagrangian and Hamiltonian formalism, stability and small oscillations, an introduction to celestial mechanics, and Hamilton-Jacobi theory, but at the same time features unique examples-such as the spinning top including friction and gyroscopic compass...