Manifolds and Mechanics

Häftad, Engelska, 1987

Del 2 i serien Australian Mathematical Society Lecture Series

544 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:1987-05-14
Mått:152 x 229 x 10 mm
Vikt:270 g
Format:Häftad
Språk:Engelska
Serie:Australian Mathematical Society Lecture Series
Antal sidor:176
Förlag:Cambridge University Press
ISBN:9780521336505

Utforska kategorier

Tillämpad matematik inom Naturvetenskap och teknik

Innehållsförteckning

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.