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How to Become a Pure Mathematician (Or Statistician)

8 months ago
  • #study-guide
  • #beginner
  • #mathematics
  • Becoming a good theoretical physicist or mathematician requires extensive practice and study, similar to mastering the piano.
  • The article provides a beginner's guide to studying pure mathematics, aimed at those unsure where to start.
  • Assumes high school mathematics knowledge (basic trigonometry, Euclidean geometry, etc.).
  • Suggests approximately one year per stage of study for full-time students, with part-time students needing more time.
  • Emphasizes the importance of understanding each stage before moving to the next.
  • Highlights that not all professors are effective teachers, especially in higher-level courses.
  • Recommends scouting multiple books to find ones that suit individual learning styles.
  • Acknowledges that solving problems can take significant time, sometimes weeks.
  • Book selection criteria include being well-written or cheap, with no bias towards publisher, nationality, or religion.
  • Notes that being a good mathematician doesn't necessarily mean being a good author or educator.
  • Encourages students to ask themselves why they are studying mathematics.
  • Mentions additional resources like MIT's open courseware, the Archimedeans, and Wikibooks.
  • Author's background includes extensive study in pure mathematics and statistics at UNSW, Sydney.
  • Includes a disclaimer about not being responsible for external links.
  • Provides contact information for comments or suggestions.