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maths

Mar 18, 20262 min read

  • public
  • Analysis / Calculus
    • <The Way of Analysis> 讲的很好,逻辑通顺
    • Scalar and Matrix calculus
  • maths/probability - Derive from distribution
    • This is very rigous and full of mathematical insight
      • books/probability-theory-stat310-math230-by-AmirDembo
    • This is very consise (<20 pages per chapter) looks practical!
      • Jeffrey S. Rosenthal - A First Look at Rigorous Probability Theory, Second Edition (2006, World Scientific Publishing Company) - libgen.lc.pdf
    • This one is long but full of visualizations and classical examples! also main text book for a Berkeley course EE126
      • Dimitri P. Bertsekas, John N. Tsitsiklis - Introduction to Probability, 2nd Edition   (2008, Athena Scientific).pdf
    • Other recommendations that I haven’t checked
      • Sidney Resnick - A Probability Path (1999, Birkhäuser Boston)
  • maths/stats - infer from data
    • LATER MCMC, EM method
      • TODO
    • Applications
      • The Lady Tasting Tea - How Statistics Revolutionized Science in the Twentieth Century
      • 统计检验hypothesis testing
      • Great stats visualizations https://onlinestatbook.com/stat_sim/index.html
      • Max Kuhn, Kjell Johnson - Applied Predictive Modeling-Springer (2013)
    • textbook
      • Statistical models - A. C. Davison recommended by Matt.
      • All of Statistics - A Concise Course in Statistical Inference recommended by YunZhong
      • StatisticalRethinking2022-RichardMcElreath
      • Other recommended books:
        • Probabilistic Models of Cognition by Noah D. Goodman, Joshua B. Tenenbaum & The ProbMods Contributors https://probmods.org/
        • An Introduction to Statistical Learning (ISL)
        • ComputerAgeStatisticalInference
  • Algebra maths/linear-algebra
    • <Linear Algebra Done Right>
      • (Undergraduate texts in mathematics) Axler, Sheldon - Linear Algebra Done Right-Springer International Publishing _ Imprint_ Springer (2015).pdf
      • LADW-2014-09.pdf
    • <Advanced Linear Algebra by Steven Roman>
    • Peter Bloem’s PCA Introduction Series
  • 面试题
    • Heard on the street
    • 绿皮书
    • Quant Job Interview Questions and Answers by Mark Joshi
  • Statistical Learning
  • Signal Processing
    • kernel, convolution, Kalman Filter , etc.
  • Optimizations maths/optimization
    • Convex Optimization - Standford
    • SVM
  • 思维方法论Meta
    • 思维方式
    • Interesting Thought Experiments
  • CS/theoretical
    • lambda-calculus

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