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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 and operators
9. Tensor products
Probability and statistics
10. Random variables
11. Basic probability distributions
12. Central limit theorem
13. Experiments and estimators
Appendix
14. Basic matrix arithmetic
Index