Recreational Mathematics
8 Topics • 24 Lessons
A journey through recreational mathematics covering number theory adventures (Fermat numbers, prime-generating formulas, Collatz conjecture), prime distribution and the Riemann hypothesis, proofs of irrationality, transcendental numbers, continued fractions, Ramanujan's nested radicals, Ramanujan's partition function, and Bhaskaracharya's Lilavati.
A journey through recreational mathematics covering number theory adventures (Fermat numbers, prime-generating formulas, Collatz conjecture), prime distribution and the Riemann hypothesis, proofs of irrationality, transcendental numbers, continued fractions, Ramanujan's nested radicals, Ramanujan's partition function, and Bhaskaracharya's Lilavati.
What you'll learn
- Explore Fermat numbers, prime-generating formulas, and the Collatz conjecture
- Understand the Riemann zeta function, prime distribution, and the Prime Number Theorem
- Prove irrationality of key constants and explore transcendental number theory
- Work with continued fractions, Pell's equation, and the Stern-Brocot tree
- Study Ramanujan's nested radicals, partition function, and Bhaskaracharya's Lilavati
Level: Advanced · Duration: 3 hr 39 min