Mathematics¶

Probability¶

Relearn the basics:
- How to Prove It by Velleman
- How to Think Like a Mathematician by Houston
- Algebra and Trigonometry by Gelfand (for understanding why and how instead of what)
- Precalculus in a Nutshell by Simmons (for reference)
- Measurement by Lockhart (for inspiration)
Calculus (which one(s), and how deep?):
- Calculus by Strang
- Calculus vol. 1 and Calculus vol. 2 by Apostol
- Calculus by Spivak (solutions)
- Introduction to Calculus and Analysis: Volume 1 by Curant (and 11/1 II/2?)
Linear Algebra (which one(s) and how deep?):
- Intro to Linear Algebra by Strang
- Matrix Algebra Useful for Statistics by Searle
- Matrix Algebra: Theory, Computations, and Applications in Statistics by Gentle
Probability (which one(s)?):
- An Introduction to Probability Theory and Its Applications, Vol. 1 and Vol. 2 by Feller (for intuitive understanding)
- Introduction to Probability Theory by Hoel, Port, Stone
- A Probability Path by Resnick (for measure-theoretic/modern approach?)
- Fifty Challenging Problems in Probability by Mosteller
Core Statistics (which one(s)?):
- Probability and Statistics by DeGroot and Schervish
- Statistical Inference Casella and Berger