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Manifolds and Mechanics

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Manifolds and Mechanics

Manifolds and Mechanics

Arthur Jones
Alistair Gray
Robert Hutton
April 2011
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Adobe eBook Reader
9780511872389
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    Description

    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.

    Product details

    April 2011
    Adobe eBook Reader
    9780511872389
    0 pages
    0kg
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

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    Contents

    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.
      • Show more
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    About the authors
      Authors
    • Arthur Jones
    • Alistair Gray
    • Robert Hutton

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