Titlebook: Introduction to Mechanics and Symmetry; A Basic Exposition o Jerrold E. Marsden,Tudor S. Ratiu Textbook 1999Latest edition Springer Science

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carbohydrate

Cotangent Bundles,t can be described in various equivalent ways. Assume first that . is n-dimensional, and pick local coordinates (.., ... ,..) on . Since (.., ... , ..) is a basis of ..., we can write any α ∈ ... as α = .... This procedure defines induced local coordinates (.., ... , .., .., ... , ..) on ..

incontinence

Lagrangian Mechanics,on variational principles. This alternative viewpoint, computational convenience, and the fact that the Lagrangian is very useful in covariant relativistic theories can be used as arguments for the importance of the Lagrangian formulation. Ironically, it was Hamilton [1834] who discovered the variational basis of Lagrangian mechanics.

Essential

Conjuction

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978-1-4419-3143-6Springer Science+Business Media New York 1999

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值得

OREX

The Free Rigid Body,As an application of the theory developed so far, we discuss the motion of a free rigid body about a fixed point. We begin with a discussion of the kinematics of rigid-body motion. Our description of the kinematics of rigid bodies follows some of the notation and conventions of continuum mechanics, as in Marsden and Hughes [1983].

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