Arthur Jones,
Alistair Gray,
Robert Hutton
Manifolds and Mechanics
Paperback Engels 1987 9780521336505Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9780521336505
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:176
Uitgever:Cambridge University Press
Serie:Australian Mathemati
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Inhoudsopgave
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.
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