Vector analysis provides the language that is needed for a precise quantitative statement of the general laws and relationships governing such branches of physics as electromagnetism and fluid dynamics.
Vector analysis provides the language that is needed for a precise quantitative statement of the general laws and relationships governing such branches of physics as electromagnetism and fluid dynamics.
Introduction 1. Summary of vector algebra 2. The geometrical background to vector analysis 3. Metric properties of Euclidean space 4. Scalar and vector fields 5. Spatial integrals of fields 6. Further spatial integrals 7. Differentiation of fields. Part I The gradient 8. Differentiation of fields. Part II The curl 9. Differentiation of fields. Part III The divergence 10. Generalisation of the three principal theorems and some remarks on notation 11. Boundary behaviour of fields 12. Differentiation and integration of products of fields 13. Second derivatives of vector fields elements of potential theory 14. Orthogonal curvilinear coordinates 15. Time-dependent fields Exercises Index.
Introduction 1. Summary of vector algebra 2. The geometrical background to vector analysis 3. Metric properties of Euclidean space 4. Scalar and vector fields 5. Spatial integrals of fields 6. Further spatial integrals 7. Differentiation of fields. Part I The gradient 8. Differentiation of fields. Part II The curl 9. Differentiation of fields. Part III The divergence 10. Generalisation of the three principal theorems and some remarks on notation 11. Boundary behaviour of fields 12. Differentiation and integration of products of fields 13. Second derivatives of vector fields elements of potential theory 14. Orthogonal curvilinear coordinates 15. Time-dependent fields Exercises Index.
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