9 Partial differential equations

Chapters in this book

1. Frontmatter I
2. Contents IX
3. Foreword XIII
4. 1 Sets and functions 1
5. 2 Numbers 7
6. 3 Vectors and their spaces 28
7. 4 The topology of metric spaces 49
8. 5 Differentiation 62
9. 6 Manifolds 80
10. 7 Ordinary differential equations 93
11. 8 Optimization 106
12. 9 Partial differential equations 127
13. 10 Probability 150
14. 11 Answers to selected questions 174
15. Index 199