MA421 Fall 19: Links

Chapter 0-1

• A nice collection of statements that can be proven by induction.
• The Banach-Tarski Paradox At 4:35 it discusses Cantor's proof that the interval (0,1) is uncountable.
• Examples of Basic Proofs (Overleaf) (PDF)
• Zeno's paradoxes
• Goldbach's conjecture
• Millennium Prize Problems
• Fermat's Last Theorem
• First "few" digits of \( \sqrt{3} \)

Chapter 2

• The Subterfuge of Epsilon and Delta replace delta with N in the article, and this talks about the difference between our scratch-work and the actual proof of a sequence converging to L.
• The Math Theory of Big Game Hunting

Miscellaneous Links

1. Visualizing the Riemann Hypothesis and analytic continuation Some great visualizations of complex analysis
2. Dr. Duckworth's LaTeX symbol guide useful for typing mathematics in a published page
3. NYT op-ed on appreciating mathematics by Dr. Manil Suri from UMBC
4. WSJ article on Simpson's paradox which mentions one of my mentors, Dr. Ken Ross
5. Doodling in Math Class: Connecting the Dots parabolas, Angry Birds, conic sections, cardoids, catenaries
6. Doodling in Math Class: Infinity Elephants
7. Doodling in Math Class: Sick Number Games