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MATH 212

The Fascinating World of Numbers

3 credits · Undergraduate

Fall 2026 · Fascinating World of Numbers

Topics

  • Numeration systems and types of numbers
  • Prime numbers and exponential laws
  • Golden ratio and Fibonacci sequence
  • Conjectures, unsolved problems, famous theorems and proofs
  • Tilings, friezes and fractals
  • Graph-theoretic travel itineraries
  • Mathematical games
  • Rhythm sequences and music theory
  • Voting systems
  • Geometry underlying GPS
  • Quantitative public-health testing and disease transmission

Readings

  • Reference (not explicitly required): J. Ellenberg. How Not to Be Wrong: The Power of Mathematical Thinking. Penguin Press, 2014.
    Listed reading
  • Reference (not explicitly required): C. Pickover. Wonders of Numbers: Adventures in Mathematics, Mind, and Meaning. Oxford University Press, 2001.
    Listed reading
  • Reference (not explicitly required): G. E. Roberts. From Music to Mathematics: Exploring the Connections. Johns Hopkins University Press, 2016.
    Listed reading
Sources