Applied Differential Geometry by Burke

Applied Differential Geometry by William L. Burke

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.