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Mathematics & Statistics
Introduction to Probability
— Blitzstein & Hwang
The Elements of Statistical Learning
— Hastie, Tibshirani & Friedman
Deep Learning
— Goodfellow, Bengio & Courville
Stochastic Calculus for Finance II — Shreve
Information Theory
A Mathematical Theory of Communication
— Shannon (1948)
Information Theory: A Tutorial Introduction
— James Stone
Information Theory, Inference, and Learning Algorithms — MacKay
Optimization & Control
Dynamic Programming — Bellman (1957)
Convex Optimization
— Boyd & Vandenberghe
Probability & Inference
Pattern Recognition and Machine Learning — Bishop
Bayesian Data Analysis — Gelman et al.
Complex Systems & Emergence
Flocks, Herds, and Schools: A Distributed Behavioral Model
— Reynolds (1987)
Introduction to Agent-Based Modeling
— Santa Fe Institute
Growing Artificial Societies — Epstein & Axtell
Systems
Designing Data-Intensive Applications
— Kleppmann
Finance & Markets
Options, Futures and Other Derivatives
— Hull
Market Microstructure Theory — Maureen O'Hara
Algorithmic and High-Frequency Trading — Cartea, Jaimungal & Penalva