Purpose

This collection is the main home for mathematical notes, from foundations for computer science to probability, statistics, optimization, and proof-oriented topics. It reorganizes material from Math for Computer Science, Miscellaneous Math Problem Cookbook, and newer notes from current study.

Current Reading Path

Probability Theory and Statistics

  1. Random Variable
  2. Probability Distributions
  3. Expectation and Variance
  4. Moment Generating Functions
  5. Weak Law of Large Numbers

Planned Areas

  • Linear algebra and matrix methods
  • Discrete mathematics and combinatorics
  • Mathematical logic and proof
  • Optimization
  • Analysis foundations
  • Probability, statistics, and stochastic processes

Status

Probability theory and statistics is the active section. The first reading path now has English and Chinese counterparts for all five notes; the next cleanup pass should focus on prose quality, examples, and relation metadata beyond this section.