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Analytical Mechanics

Objectives

Describe the equations of mechanics in general coordinates.
Understand what a Law of Physics is.
This is the first contact for a Mathematics student with the Mathematical techniques for mechanics, in an applied
setting.

General characterization

Code

12918

Credits

9.0

Responsible teacher

Available soon

Hours

Weekly - 4

Total - 56

Teaching language

Português

Prerequisites

Good command of differential and integral calculus in one and more variables, ordinary differential equations and linear matrix algebra. Notions of partial differential equations.


Bibliography

C. Fox — An Introduction to the Calculus of Variations, Dover, 1987
H. Goldstein, C.P. Poole and J.L. Safko, — Classical Mechanics, 3rd ed., Addison Wesley, 2001
L.N. Hand and J.D. Finch — Analytical Mechanics, Cambridge University Press, 1998
J.V. José and E.G. Saletan — Classical Dynamics, Cambridge University Press, 1998
J.B. Marion and S.T. Thornton — Classical Dynamics of Particles and Systems, 4th ed., Saunders College Publishing,
1995
M.C. Povoas, Métodos Matemáticos da Física – Uma Introdução, Colecção Textos de Matemática, 17, Departamento de
Matemática, FCUL, 2002
H. Sagan — Introduction to the Calculus of variations, McGraw-Hill, 1969

Teaching method

Available soon

Evaluation method

Available soon

Subject matter

Part I - Dynamics of Particles

Part II - Dynamics of Rigid Bodies

Part III - - Calculus of Variations

Part IV - Continuum mechanics