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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

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By Peter Bruin

All material except Chapter 4: Copyright © 2023–2024 Universiteit Leiden.
Chapter 4: Copyright © 2019–2022 Delft University of Technology.
License: CC BY-SA 4.0.