Overview

The notes in this archive consider the following subjects:

Part I. Computational Finance

1. Introduction,
2. Probability, Information, & Risk,
3. Scientific Computing,
4. Stochastic calculus,
5. Fractional calculus,
6. Machine Learning,
7. Quantitative Finance,
8. Option Trading.
9. Algorithmic Trading,
10. Quantum Computing.

Part II. Quantum Field Theory

1. Introduction,
2. History,
3. Quantum Foundations,
4. Path Integrals,
5. Koopman Von Neumann Mechanics,
6. Statistical Field Theory,
7. Renormalization,
8. QFT on Curved Manifolds,
9. Stochastic Quantization.

Part III. Numerical Relativity

1. Introduction,
2. Foundations,
3. Black holes,
4. Worm holes.