Applied Differential Geometry
Applied Differential Geometry
William L. Burke
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9781316042830
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This is a self-contained introductory textbook on the calculus of differential forms and modern differential geometry. The intended audience is physicists, so the author emphasises applications and geometrical reasoning in order to give results and concepts a precise but intuitive meaning without getting bogged down in analysis. The large number of diagrams helps elucidate the fundamental ideas. Mathematical topics covered include differentiable manifolds, differential forms and twisted forms, the Hodge star operator, exterior differential systems and symplectic geometry. All of the mathematics is motivated and illustrated by useful physical examples.
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No date availableAdobe eBook Reader
9781316042830
0kg
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
- Preface
- Glossary of notation
- Introduction
- 1. Tensors in linear spaces
- 2. Manifolds
- 3. Transformations
- 4. The calculus of differential forms
- 5. Applications of the exterior calculus
- 6. Classical electrodynamics
- 7. Dynamics of particles and fields
- 8. Calculus on fiber bundles
- 9. Gravitation
- Bibliography
- Index.
