Titlebook: Computer Algebra Recipes for Classical Mechanics; Richard H. Enns,George C. McGuire Textbook 2003 Springer Science+Business Media New York

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Newtonian MechanicsThe study of Newtonian mechanics involves the application of three well-known laws of motion to the movement of a body experiencing a net, or resultant, force. Newton’s first, second, and third laws are as follows [MT95]:

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Lagrangian & Hamiltonian DynamicsIn the Desserts, we look at a wide variety of interesting mechanics examples for which we use either the Lagrangian or Hamiltonian approach.

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Vector Calculuse systems may prove more useful in trying to solve certain mechanics problems. In the following three recipes, we illustrate kinematics in plane polar and spherical polar coordinates and how to generate “scale factors” for calculating area and volume elements, gradients, Laplacians, etc., in toroidal coordinates.

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抱狗不敢前

https://doi.org/10.1007/978-1-4612-0013-0Applications of Mathematics; Lagrangian mechanics; Math Physics; Mechanics; Numerical Mathematics; algebr

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978-0-8176-4291-4Springer Science+Business Media New York 2003

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Systems Pharmacology: An Overviewand three-dimensional kinematic problems. Although the LinearAlgebra library package could also be used to deal with vectors, in this chapter we shall exclusively employ the Vector Calculus package for this purpose. Using this latter package allows us to view the output vectors in terms of the unit