Book contents
- Frontmatter
- Contents
- Preface
- 0 The background: vector calculus
- 1 Affine spaces
- 2 Curves, functions and derivatives
- 3 Vector fields and flows
- 4 Volumes and subspaces: exterior algebra
- 5 Calculus of forms
- 6 Frobenius's theorem
- 7 Metrics on affine spaces
- 8 Isometries
- 9 Geometry of surfaces
- 10 Manifolds
- 11 Connections
- 12 Lie groups
- 13 The tangent and cotangent bundles
- 14 Fibre bundles
- 15 Connections revisited
- Bibliography
- Index
4 - Volumes and subspaces: exterior algebra
Published online by Cambridge University Press: 05 August 2012
- Frontmatter
- Contents
- Preface
- 0 The background: vector calculus
- 1 Affine spaces
- 2 Curves, functions and derivatives
- 3 Vector fields and flows
- 4 Volumes and subspaces: exterior algebra
- 5 Calculus of forms
- 6 Frobenius's theorem
- 7 Metrics on affine spaces
- 8 Isometries
- 9 Geometry of surfaces
- 10 Manifolds
- 11 Connections
- 12 Lie groups
- 13 The tangent and cotangent bundles
- 14 Fibre bundles
- 15 Connections revisited
- Bibliography
- Index
Summary
![Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'](https://static.cambridge.org/content/id/urn%3Acambridge.org%3Aid%3Abook%3A9780511623905/resource/name/firstPage-9780511623905c5_p85-116_CBO.jpg)
- Type
- Chapter
- Information
- Applicable Differential Geometry , pp. 85 - 116Publisher: Cambridge University PressPrint publication year: 1987