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Variational Principles In Classical Mechanics

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Variational Principles In Classical Mechanics

Variational Principles In Classical Mechanics

The goal of this book is to introduce the reader to the intellectual beauty, and philosophical implications, of the fact that nature obeys variational principles that underlie the Lagrangian and Hamiltonian analytical formulations of classical mechanics. Topics covered includes: History of classical mechanics, Newtonian mechanics, Linear oscillators, Nonlinear systems and chaos, Calculus of variations, Lagrangian dynamics, Symmetries, Invariance and the Hamiltonian, Hamiltonian mechanics, Rigid-body rotation, Relativistic mechanics, The transition to quantum physics.

Author(s):

s587 Pages
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