5. Differential Calculus of Mappings

Kapitel in diesem Buch

1. Frontmatter I
2. Contents VII
3. Preface IX
4. 1. Introduction 1
5. 2. Calculus of Vector Functions 41
6. 3. Tangent Spaces and 1-forms 58
7. 4. Line Integrals 84
8. 5. Differential Calculus of Mappings 117
9. 6. Applications of Differential Calculus 156
10. 7. Double and Triple Integrals 188
11. 8. Wedge Products and Exterior Derivatives 224
12. 9. Integration of Forms 243
13. 10. Stokes’ Theorem and Applications 274
14. Bibliography 299
15. Index 301