Mathematics Resources

Articles

• 高维空间中混乱的密铺.
• Why I Will Never Have a Girlfriend by Tristan Miller.

Blogs

• 3Blue1Brown, YouTube channel: 3Blue1Brown.
• 科学空间 (Scientific Spaces)
  • 低秩近似之路（一）：伪逆.
  • 低秩近似之路（二）：SVD.
  • 低秩近似之路（三）：CR.
  • 低秩近似之路（四）：ID.
• The Map of Mathematics.
• Math News, Interviews and Columns From Quanta Magazine.

Books

• Fractals
  • Fractals Everywhere (Second Edition), Michael F. Barnsley.
• Graph theory
  • Graph Theory (Fourth Edition), R. J. Wilson.
• Mathematical analysis
  • A Course of Pure Mathematics, by G. H. Hardy.
  • Inequalities, G. H. Hardy, J. E. Littlewood, G. Polya.
• Matrix
  • The Matrix Cookbook, K. B. Petersen and M. S. Pedersen.
  • The Art of Linear Algebra: Graphic Notes on “Linear Algebra for Everyone”, Kenji Hiranabe.
  • Matrix Computations, Gene H. Golub, Charles F. Van Loan.
• Numerical analysis
  • Numerical Analysis (Second Edition), T. Sauer.
  • Numerical Analysis (Ninth Edition), R. L. Burden.
• Optimization theory (Operation research)
  • Optimization In Operations Research (Second Edition), Ronald L. Rardin.
  • Convex Optimization, Stephen Boyd and Lieven Vandenberghe. (CVX optimization toolbox: CVX Users’ Guide)
• Popular science
  • Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics, John Derbyshire.
• Statistics
  • NIST/SEMATECH e-Handbook of Statistical Methods.
  • An Introduction to Multivariate Statistical Analysis (Third Edition), T. W. Anderson.
  • Applied Multivariate Statistical Analysis, R. A. Johnson et al..
  • Methods of Multivariate Analysis (Second Edition), A. C. Rencher.
  • The Probability and Statistics Cookbook (Version 0.2.6), GitHub repository: mavam/stat-cookbook: The probability and statistics cookbook.
  • Methods for Statistical Data Analysis of Multivariate Observations (Second Edition), R. Gnanadesikan.
  • Bayesian Data Analysis (Third Edition), Andrew Gelman, John B. Carlin, Hal S. Stern and et al..
  • Upper and Lower Bounds for Stochastic Processes: Decomposition Theorems (Second Edition), Michel Talagrand (Michel Talagrand received Abel Prize in 2024; Wikipedia: Michel Talagrand.)
  • Estimation of dependences based on empirical data (Second Edition), Vladimir Vapnik, 2006.
  • The nature of statistical learning theory (Second Edition), Vladimir Vapnik, 2013.
  • Measures of complexity: festschrift for alexey chervonenkis, Vladimir Vapnik and A. Ya Chervonenkis, 2015.