math learning links

last updated: 20260712

reading lists and co

• cambridge recommended reading list for prospective undergrad maths students.
• cambridge maths tripos info. includes course progressions through part ii and descriptions, past exams, example sheets (psets), textbook recommendations by course (for part ia-ii, course information > schedule and form of exams; for part iii, lectures and examples classes > guide to courses), and some lecture notes through part iii.
  • study skills guide for tripos first-years. general mindset calibrators that anyone pursuing higher education would benefit from. also makes me unbearably jealous of the non-american, non-industry-focused academic atmosphere...
  • student-generated lecture notes. sorted into parts and topics, and includes author and year made for each topic. note that quality and comprehensiveness varies significantly among them; i'd use them to check for gaps rather than as primary for self-study despite sometimes being the only source of lecture-specific material.
  • official lecture notes. made by profs and comprehensive, though they are older and course progression has changed since they were made. i am in the process of organizing all the publicly available official lecture notes from years beyond those listed on this page, but it's not done/linked yet; send me a message if you want access.
• oxford course synopses. includes textbook recommendations for each course.
• john baez how to learn math. primarily textbooks, listed by topic and with short introductions.