Linear algebra:
ODE:
PDE:
Numerical analysis:
Optimisation: Boyd, S. & Vandenberghe, L. (2004). Convex Optimization. Cambridge University Press. URL https://www.stanford.edu/~boyd/cvxbook/
Elementary probability: Ross, S. M. (2014). A First Course in Probability (9th edition). Pearson.
Elementary stochastic processes:
Probability theory: Ross, S. M. (2014). Introduction to Probability Models (11th edition). Academic Press.
Stochastic calculus: Øksendal, B. (2003). Stochastic Differential Equations (6th edition). Universitext. Springer, Berlin, Heidelberg.
Measure-theoretic probability theory: Chung, K. L. (2000). A Course in Probability Theory (2nd edition). Academic Press.
B. Statistics:
Elementary statistics:
Linear models: Neter, J., Kutner, M. H., Nachtsheim, C. J., & Wasserman, W. (1996). Applied Linear Statistical Models (Vol. 4). Chicago: Irwin.
Bayesian inference: Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A., & Rubin, D. B. (2014). Bayesian Data Analysis (Vol. 2). Boca Raton, FL: CRC press.
Generalized Linear Model: Myers, R. H., Montgomery, D. C., Vining G. G., Robinson T. J. (2010). Generalized Linear Models: with Applications in Engineering and the Sciences (2nd Edition). Wiley.
Multilevel models:
Multivariate:
Study design:
Time series: Tsay, R. S. (2010). Analysis of Financial Time Series (3rd edition). Wiley.
Categorical data analysis: Agresti, A. (2007). An Introduction to Categorical Data Analysis (2nd Edition), Wiley Series in Probability and Statistics. Wiley.
Bootstrap: Efron, B. & Tibshirani, R. (1994). An Introduction to the Bootstrap. Chapman and Hall/CRC.
Statistical inference: Casella, G. & Berger, R. L. (2001). Statistical Inference (2nd Edition). Duxbury Press.
Statistical learning: Hastie, T., Tibshirani, R. & Friedman J. (2016). The Elements of Statistical Learning: Data Mining, Inference, and Prediction (2nd Edition), Springer Series in Statistics. Springer.
C. Computer Science:
Basic programming:
Information retrieval:
Computational phylogenetics:
Machine learning: Bishop, C. M. (2011). Pattern Recognition and Machine Learning. Springer.
Deep learning: Goodfellow, I., Bengio, Y. & Courville, A. (2016). Deep Learning. The MIT Press.
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另外有興趣想留自己Research Info既巴絲, 希望可以搵到同field既巴打傾下計或者睇下有無potential collaboration, 可以係下面個google doc填自己既資料(optional)
https://docs.google.com/spreadsheets/d/1VAW9av9mt3RnUiYU7t8NhV73P7hc5mTZc1rRccket00/edit?usp=sharing
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https://docs.google.com/document/d/1-6RuzKFOdboyqvHGpUcDhZpLz833E2m8jEi3FJfnUCI/edit
有興趣係academic 發展，做research既巴絲入黎傾下啦