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Manifolds and Mechanics de Arthur Jones

Manifolds and Mechanics: Australian Mathematical Society Lecture Series, cartea 2

Autor Arthur Jones, Alistair Gray, Robert Hutton
en Limba Engleză Paperback – 13 mai 1987
This book provides an easy introduction to the theory of differentiable manifolds. The authors then show how the theory can be used to develop, simply but rigorously, the theory of Lanrangian mechanics directly from Newton's laws. Unnecessary abstraction has been avoided to produce an account suitable for students in mathematics or physics who have taken courses in advanced calculus.
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Specificații

ISBN-13: 9780521336505
ISBN-10: 0521336503
Pagini: 176
Ilustrații: 1
Dimensiuni: 152 x 229 x 10 mm
Greutate: 0.27 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Australian Mathematical Society Lecture Series

Locul publicării:Cambridge, United Kingdom

Cuprins

1. Calculus preliminaries; 2. Differential manifolds; 3. Submanifolds; 4. Differentiability; 5. Tangent spaces and maps; 6. Tangent bundles as manifolds; 7. Partial derivatives; 8. Deriving Langrange's equations; 9. Form of Langrange's equations; 10. Vectorfields; 11. Langrangian vectorfields; 12. Flows; 13. The spherical pendulum; 14. Rigid bodies.

Descriere

This book provides an easy introduction to the theory of differentiable manifolds.