Book contents
- Frontmatter
- Contents
- PROLOGUE
- 1 CALCULUS PRELIMINARIES
- 2 DIFFERENTIABLE MANIFOLDS
- 3 SUBMANIFOLDS
- 4 DIFFERENTIABILITY
- 5 TANGENT SPACES AND MAPS
- 6 TANGENT BUNDLES AS MANIFOLDS
- 7 PARTIAL DERIVATIVES
- 8 DERIVING LAGRANGE'S EQUATIONS
- 9 FORM OF LAGRANGE'S EQUATIONS
- 10 VECTORFIELDS
- 11 LAGRANGIAN VECTORFIELDS
- 12 FLOWS
- 13 THE SPHERICAL PENDULUM
- 14 RIGID BODIES
- REFERENCES
- INDEX
- SYMBOL TABLE
4 - DIFFERENTIABILITY
Published online by Cambridge University Press: 28 January 2010
- Frontmatter
- Contents
- PROLOGUE
- 1 CALCULUS PRELIMINARIES
- 2 DIFFERENTIABLE MANIFOLDS
- 3 SUBMANIFOLDS
- 4 DIFFERENTIABILITY
- 5 TANGENT SPACES AND MAPS
- 6 TANGENT BUNDLES AS MANIFOLDS
- 7 PARTIAL DERIVATIVES
- 8 DERIVING LAGRANGE'S EQUATIONS
- 9 FORM OF LAGRANGE'S EQUATIONS
- 10 VECTORFIELDS
- 11 LAGRANGIAN VECTORFIELDS
- 12 FLOWS
- 13 THE SPHERICAL PENDULUM
- 14 RIGID BODIES
- REFERENCES
- INDEX
- SYMBOL TABLE
Summary

- Type
- Chapter
- Information
- Manifolds and Mechanics , pp. 39 - 43Publisher: Cambridge University PressPrint publication year: 1987
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