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Mathematics for Quantum Physics
Mathematics for Quantum Physics
Analysis
1. Taylor series
2. Fourier series
3. Fourier transforms
4. Differential equations
Linear algebra
5. Matrix operations
6. Basis transformations
7. Diagonalisation
8. Hilbert spaces
9. Operators on Hilbert spaces
10. Tensor products
Probability and statistics
11. Random variables
12. Basic probability distributions
13. The central limit theorem
14. Experiments and estimators
Appendix
15. Basic matrix arithmetic
Index