En cours de chargement...
- A bit of foreshadowing and some rational rationale
- Building the rationals via Farey Sequences
- Discoveries of Dirichlet and Hurwitz
- The theory of continued fractions
- Enforcing the law of best approximates
- Markoff's spectrum and numbers
- Badly approximable numbers and quadratics
- Solving the alleged "Pell" equation
- Liouville's work on numbers algebraic and not
- Roth's stunning result and its consequences
- Pythagorean triples through diophantine geometry
- A quick tour through elliptic curves
- The geometry of numbers
- Simultaneous diophantine approximation
- Using geometry to sum some squares
- Spinning around irrationally and uniformly
- A whole new world of p-adic numbers
- A glimpse into p-adic analysis
- A new twist on Newton's method
- The power of acting locally while thinking globally.