Updated: 3/12/25

Link to Youtube channel: Mæth.

The goal is to study Mathematics in an Inquiry based approach.

\[{ \underline{\textbf{Reading List}} }\]

Inquiry based approach.

Mathematics and Data Science

• “Foundations of Applied Mathematics” by Humpherys, Jarvis
• “Undergraduate Algebra” and “Undergraduate Analysis” by Lang.
• “Introductory Real Analysis” by Kolmogorov, Fomin.
• “Modern Geometry” by Dubrovin, Fomenko, Novikov.
• “A Probability Path” by Resnick.
• “Theory of Statistics” by Schervish.
• “Numerical Optimization” by Nocedal, Wright.
• “Programming in Python” by Sedgewick, Wayne, Dondero
• Think Series by Downey
• “Data Science from Scratch” by Grus.
• “An Introduction to Statistical Learning” by Hastie, Tibshirani
• “Inference and Learning from Data” by Sayed.

Computer Science

• CS50 by Malan
• Teach Yourself CS
• “The C Programming Language” by Kernighan, Ritchie.
• “C Programming” by King.
• “Foundations of Computer Science” by Aho, Ullman
• “Algorithms in C” by Sedgewick.

Physics

• “Mathematics for Physics” by Stone, Goldbart.
• “Theoretical Physics” by Joos.
• “A complete course on Theoretical Physics” by Lindner, Strauch.
• “Modern Classical Physics” by Thorne, Blandford.
• “Berkeley Physics Course (in SI units)”.
• The Feynman Lectures on Physics
• “Course of Theoretical Physics” by Landau, Lifshitz.

\[{ \underline{\textbf{Miscellaneous}} }\]

• Note that pirated books are available at Libgen.

• Note that the degree charts for undergraduate programmes at MIT are available online: Mathematics, Physics, Electrical Engineering, Computer Science, Artificial Intelligence, Economics, Finance.
  Note that the course pages for undergraduate and graduate courses at MIT are available online. Link to MIT OCW page: Link.
  Note that MIT offers online micromasters programmes. Link to MIT micromasters page: Link.

• Note that freeCodeCamp offers free online programming certifications. Link to freeCodeCamp page: Link.

• Note that Stanford Online offers online programs. Link to Stanford Online programs: Link.
  Note that the course webpages for the courses are available online.

• Note that Coursera offers online courses from universities and companies. Link to Coursera page: Link. Note that CU Boulder offers good courses on Coursera. Link to CU Boulder Coursera page: Link.