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Manifolds and Mechanics By Arthur Jones

Manifolds and Mechanics by Arthur Jones

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$57.69
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Summary

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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Manifolds and Mechanics Summary

Manifolds and Mechanics by Arthur Jones

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.

Table of Contents

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.

Additional information

NLS9780521336505
9780521336505
0521336503
Manifolds and Mechanics by Arthur Jones
New
Paperback
Cambridge University Press
1987-05-14
176
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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