1 Introduction
2 Errata and Revision Status
3 Exercise Solutions
1. Mathematical Preliminaries
2. Determinants and Matrices
3. Vector Analysis
4. Tensors and Differential Forms
5. Vector Spaces
6. Eigenvalue Problems
7. Ordinary Differential Equations
8. Sturm-Liouville Theory
9. Partial Differential Equations
10. Green’s Functions
11. Complex Variable Theory
12. Further Topics in Analysis
13. Gamma Function
14. Bessel Functions
15. Legendre Functions
16. Angular Momentum
17. Group Theory
18. More Special Functions
19. Fourier Series
20. Integral Transforms
21. Integral Equations
22. Calculus of Variations
23. Probability and Statistics
4 Correlation, Exercise Placement
5 Unused Sixth Edition Exercises
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